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Recent submissions

Any replacements are listed further down

[8681] viXra:1409.0152 [pdf] submitted on 2014-09-21 04:08:21

Emulating 'photons' at Microwave Frequencies for Deterministic Predictions: a Proposal

Authors: Hasmukh K. Tank
Comments: Four page proposal

My study of wave-particle-duality of light, as described in a paper: “Proposed explanations for the wave-particle duality of light and double-slit interference of single photons” (Tank, H. K., 2014) leads an insight into the nature of ‘light’; that: the rate of formation of ‘particles’ called ‘photons’ has to be at much slower rate than the frequency of the waves. It was found in the above-cited paper that if light is both ‘wave’ as well as ‘particle’, then a photon should contain a wide ‘band’ of waves, rather than a single frequency; and whenever and wherever all the spectral components of the wide band get coherently added a ‘particle’ gets formed. Now, in this paper It is further shown that ‘wavelengths’ and ‘frequencies’ of the actual band of waves, and the ‘distances’ and ‘time-rate’ of successive formations of ‘particle’ are two different phenomena. And the rate of formation of ‘particles’ called ‘photons’ is at much slower rate than the frequency of the wave. This study leads to an interesting new possibility that: it should be possible to emulate photons at microwave frequencies; and make deterministic predictions; by establishing perfect relation between wavelengths of the band of waves, and ‘distance’ between successive formations of ‘particles’.
Category: Quantum Physics

[8680] viXra:1409.0151 [pdf] submitted on 2014-09-21 03:37:44

Presentation of Plouffe's Inverter, L'Inverseur de Plouffe

Authors: Simon Plouffe
Comments: 23 Pages. the paper is in french

A presentation (1998) is made of Plouffe's Inverter, a conference in march 1998 at the Université du Québec À Montréal.
Category: Number Theory

[8679] viXra:1409.0150 [pdf] submitted on 2014-09-20 13:41:49

On KLJN-Based Secure Key Distribution in Vehicular Communication Networks

Authors: X. Cao, Y. Saez, G. Pesti, L.B. Kish
Comments: 13 Pages. Submitted for publication to Fluct. Noise Lett. on September 20, 2014

In a former paper [Fluct. Noise Lett., 13 (2014) 1450020] we introduced a vehicular communication system with unconditionally secure key exchange based on the Kirchhoff-Law-Johnson-Noise (KLJN) key distribution scheme. In this paper, we address the secure KLJN key donation to vehicles and give an upper limit for the lifetime of this key.
Category: Data Structures and Algorithms

[8678] viXra:1409.0149 [pdf] submitted on 2014-09-20 08:04:07

On the Luminosity Distance and the Hubble Constant (Revised)

Authors: Yuri Heymann
Comments: 3 Pages.

By differentiating the luminosity distance with respect to time using its standard formula we find that the equation is inconsistent with light propagation. Therefore, a new definition of the luminosity distance is provided for an expanding Universe. From supernovae observations, using this definition we find that the Hubble parameter is a constant of physics equal to H0 = 63.2 km/s/Mpc.
Category: Astrophysics

[8677] viXra:1409.0148 [pdf] submitted on 2014-09-20 05:09:15

P is not Closed Under (Binary) Union

Authors: Koji KOBAYASHI
Comments: 2 Pages.

This paper prove that P is not closed under (binary) union. It is popularly supposed that P is closed under (binary) union based on asymptotic analysis, but this equivalent of union contradict Deterministic Turing Machine and Circuit family model.
Category: General Science and Philosophy

[8676] viXra:1409.0147 [pdf] submitted on 2014-09-19 07:04:35

Stochastic Path Model of Polaroid Polarizer for Bell’s Theorem and Triphoton Experiments

Authors: Paul J. Werbos
Comments: 15 Pages.

Depending on the outcome of the triphoton experiment now underway, it is possible that the new local realistic Markov Random Field (MRF) models will be the only models now available to correctly predict both that experiment and Bell’s Theorem experiments. The MRF models represent the experiments as graphs of discrete events over space-time. This paper extends the MRF approach to continuous time, by defining a new class of realistic model, the stochastic path model, and showing how it can be applied to ideal polaroid type polarizers in such experiments. The final section discusses possibilities for future research, ranging from uses in other experiments or novel quantum communication systems, to extensions involving stochastic paths in the space of functions over continuous space. As part of this, it derives a new Boltzmann-like density operator over Fock space, which predicts the emergent statistical equilibria of nonlinear Hamiltonian field theories, based on our previous work extending the Glauber-Sudarshan P mapping from the case of classical systems described by a complex state variable α to the case of classical continuous fields.
Category: Quantum Physics

[8675] viXra:1409.0146 [pdf] submitted on 2014-09-18 22:22:20

An Outline of Cosmologhy Based on Interpretation of the Johannine Prologue

Authors: Victor Christianto
Comments: 12 Pages. This paper has been published by Bulletin of Society of Mathematical Services and Standards (www.ijmsea.com)

As we know there are two main paradigms concerning the origin of the Universe: the first is Big-Bang Theory, and the other is Creation paradigm. But those two main paradigms each have their problems, for instance Big Bang Theory assumes that the first explosion was triggered by chance alone, therefore it says that everything emerged out of vacuum fluctuation caused by pure statistical chance. By doing so, its proponents want to avoid the role of the Prime Mover (God). Of course there are also other propositions such as the Steady State theory or Cyclical universe, but they do not form the majority of people in the world. On the other side, Creation Theory says that the Universe was created by God in 6x24 hours according to Genesis chapter 1, although a variation of this theory says that it is possible that God created the Universe in longer period of thousands of years or even billions of years. But such a proposition seems not supported by Biblical texts. To overcome the weaknesses of those main paradigms, I will outline here another choice, namely that the Universe was created by Logos (Christ in His pre-existence). This is in accordance with the Prolegomena of the Gospel of John, which says that the Logos was there in the beginning (John 1:1). I describe 3 applications of the classical wave equation according to Shpenkov, i.e. hydrogen energy states, periodic table of elements, and planetary orbit distances. For sure, Shpenkov derived many more results beside these 3 phenomena as discussed in his 3 volume books and many papers, but these 3 phenomena are selected to give clear examples of what can be done with the classical wave equation. And then I extend further the classical wave equation to fractal vibrating string. While of course this outline is not complete, this article is written to stimulate further investigations in this direction.
Category: Relativity and Cosmology

[8674] viXra:1409.0145 [pdf] submitted on 2014-09-18 23:17:50

Realism in Science: Common Ground

Authors: Robert Bennett
Comments: 18 Pages.

Philosophy is the basis of all sciences, the foundation of knowledge that provides ultimate answers beyond the limits of science. Although scorned and spurned by science purists(which is partially justified by its modern errant versions), metaphysics and logic, especially, form a common ground of agreement and the tools for truth validation that is so obviously missing in theoretical analysis. We will propose a set of premises for use as a common world-view and then apply them to current science beliefs in order to demonstrate some common fallacies that commonly occur in establishment public beliefs and rational thinking. The intent is to build a solid common ground of tools and axioms based on philosophical realism and the scientific method for knowledge development by researchers.
Category: General Science and Philosophy

[8673] viXra:1409.0144 [pdf] submitted on 2014-09-18 03:01:00

Perfect Cuboid Does not Exist

Authors: Saenko V.I.
Comments: 4 Pages.

A perfect cuboid, i.e., a rectangular parallelepiped having integer edges, integer face diagonals, and integer space diagonal, is proved to be non-existing.
Category: Number Theory

[8672] viXra:1409.0143 [pdf] submitted on 2014-09-17 15:44:59

Hilbert Matrices and Existence

Authors: Jan S. Xoah
Comments: 9 Pages.

The goal of the present paper is to classify subrings. We show that Q = vp . The groundbreaking work of F. Raman on geometric sets was a major advance. In future work, we plan to address questions of reducibility as well as regularity.
Category: Algebra

[8671] viXra:1409.0142 [pdf] submitted on 2014-09-17 12:55:14

First and Second Least Action Principles: de Broglie Frequency and Neutron Decay

Authors: P. R. Silva
Comments: 07pages, 08 references

We propose two kinds of least action principles. The first one is defined in a periodic time, and when applied to creation and annihilation of particle pairs, leads to the formula for the de Broglie frequency. The second one is defined in a double-time’s metric, namely: the longitudinal and transverse (related to the discreteness of the space) times. If applied to a problem dealing with the fluctuations of the metric, this second principle permit us to infer a coherence time. We interpret this as the neutron decay time, where we take the fluctuation in the kinetic energy as being the difference between the mass-energy of the neutron minus the sum of the mass-energies of the proton and electron. The neutron decay time evaluated in this way, does not make any explicit reference to the weak interactions.
Category: High Energy Particle Physics

[8670] viXra:1409.0141 [pdf] submitted on 2014-09-17 13:05:54

Gerardus ‘t Hooft, Nobel Laureate, On Black Hole Perturbations

Authors: Stephen J. Crothers
Comments: 3 Pages. This paper relates to http://vixra.org/abs/1409.0072

Professor Gerardus ‘t Hooft, Nobel Laureate in Physics, Editor-in-Chief of the journal Foundations of Physics, has again brought attention to my work on black hole theory, big bang cosmology, and General Relativity, by means of his personal website, providing me thereby with the opportunity to address his most recent comments, particularly on black holes. Black hole universes are either asymptotically flat or asymptotically curved, by definition, and so there can be no universe containing multiple black holes.
Category: Relativity and Cosmology

[8669] viXra:1409.0140 [pdf] submitted on 2014-09-17 14:41:26

Convexity Methods in Axiomatic Algebra

Authors: Jan S. Xoah
Comments: 11 Pages.

Let us assume we are given an element f. In [24], the authors derived integrable, semi-generic elements. The goal of the present paper is to describe meager, anti-continuous rings. A useful survey of the subject can be found in [24].
Category: General Mathematics

[8668] viXra:1409.0139 [pdf] submitted on 2014-09-17 14:58:38

Non Spin Based Quantum Information Transmission Methods

Authors: Omer Dickstein
Comments: 15 Pages.

Most physicists claim no superluminal communication between two seperate points in space is possible in any manner. This claim is based on the no communication theory and on special relativity stating all communication methods are subluminal. This paper discusses theoretical 'holes' in no communication theorem and proposes an experiment that may pass the no communication obstacle.
Category: Quantum Physics

[8667] viXra:1409.0138 [pdf] submitted on 2014-09-17 15:02:54

Description of Experiment Testing Superluminal Communication

Authors: Omer Dickstein
Comments: 3 Pages.

Appendix A, appendix to the paper "Non spin based quantum information transmission methods"
Category: Quantum Physics

[8666] viXra:1409.0137 [pdf] submitted on 2014-09-17 05:48:32

The Scale-Symmetric Physics

Authors: Sylwester Kornowski
Comments: 7 Pages.

The vacuum field equations for the modified Higgs field are the most fundamental equations. The Kasner solution leads to virtual Higgs cyclones and virtual loops with toroidal and poloidal motions. Additional conditions lead to phase transitions of the modified Higgs field and quantization of the virtual Higgs cyclones which are free or overlap with the new structures. Due to the four succeeding phase transitions (their number is limited by the size of our Cosmos), there are in existence the four scales i.e. the superluminal-quantum-entanglement scale, luminal Planck scale concerning the Einstein-spacetime components, observed-particles scale and cosmological scale. Due to the quantum entanglement, there as well appear virtual cyclones and virtual loops in the Einstein spacetime. The negative pressure and characteristic motions (and the quantum entanglement) in the virtual structures cause that there appears the advection that rules the motions of matter. It leads to the “dark-matter” motions i.e. to the spin speeds of normal cold matter in galaxies almost independent from distances from the centers of galaxies. The dark energy consists of the additional Einstein-spacetime components which appeared due to the phenomena associated with the cosmological scale. The Feigenbaum constant delta follows from the internal structure of proton so this structure leads to the chaos theory. We can see the sequence: from vacuum field equations, via Kasner solution, to the virtual Higgs cyclones and loops, to phase transitions of the modified Higgs field, to quantum entanglement which via the virtual structures in the Einstein spacetime leads to the “dark-matter” motions. The chaos theory concerns particle physics and cosmology. The quantum physics appears on higher level of Nature.
Category: Relativity and Cosmology

[8665] viXra:1409.0136 [pdf] submitted on 2014-09-16 18:27:55

A Brief Note on Charge Quantization from Fractal Distributions

Authors: Ervin Goldfain
Comments: 3 Pages. Work in progress

This brief note points out that fractal spacetimes having minimal deviations from integer dimensionality naturally lead to the emergence of fractional magnetic charges. Although these are un-observable at energy scales significantly lower than the electroweak scale, their cumulative contribution may become relevant for charge quantization according to Dirac’s theory of magnetic monopoles.
Category: High Energy Particle Physics

[8664] viXra:1409.0135 [pdf] submitted on 2014-09-16 21:58:47

The Construction of Certain Numbers with Ruler and Compass, le Calcul de Certains Nombres Avec la Règle et le Compas

Authors: Simon Plouffe
Comments: 8 Pages. The construction of certain numbers with ruler and compass

Conference in french in Montréal in 1998 about the construction of arctan(1/2)/Pi and other numbers.
Category: Number Theory

[8663] viXra:1409.0134 [pdf] submitted on 2014-09-16 22:06:27

Momentum is not Conservation Principle

Authors: GuangSan Yu
Comments: 9 Pages.

The thus far momentum conservation law the Were by testify, In fact only is the laws of motion of newton third, and the is object simpleness and beeline the momentum conservation of the afoul. involve the thus far of the, the all momentum conservation law experiment all is. but, it be deemed to the is classical, and were extend to all any matter system. in complicated matter system, for instance, if interaction the at object, its inner matter forminged the opposite turn, at here whether still conform the momentum conservation? have never the study that to register in such. can authenticate, in this kind of circumstance, the total beeline momenta of the substance system, would vary the occurrence, it will diminish. so here momentum is not conservation. therefore, the momentum conservation law not is an universe compliant, the law of any matter system, in some complicated substance system, it is not exactitude.
Category: Classical Physics

[8662] viXra:1409.0133 [pdf] submitted on 2014-09-16 22:07:01

Transcend the Conservation Law

Authors: GuangSan Yu
Comments: 10 Pages.

In Rotation dynamics of the classical mechanics, there is a serious error, namely the notion of the force moment. Via the arm of force that vary the force moment, can vary the dimension of the force, this is wrong. But Rotation dynamics and whole theory system, is to regard the notion of this kind of force moment as the foundation, moreover establish create. Thereupon, the hitherto of thereinto the Rotation dynamics, abound the multifarious mistake. In complete of the Rotation dynamics of the inertia locomotion, the notion of the force moment is meaningless. The and force moment extraordinary resemble react, that is other concept Inertia-torque. Inertia-torque is mass and arm of force product at object or particle. Similar in this way through correction after, the Rotation dynamics will have the grand change. And thereupon we can also achieve, versus physics several celebrated conservation law of the exceed. The world science will have a grand advancement.
Category: Classical Physics

[8661] viXra:1409.0132 [pdf] submitted on 2014-09-16 22:07:17

The Momentum Engine

Authors: GuagSan Yu
Comments: 2 Pages.

The Newton third law is wrong! Moreover the momentum also is not conservation, So a kind of new space propeller nope don't may, That is the momentum engine.
Category: Classical Physics

[8660] viXra:1409.0131 [pdf] submitted on 2014-09-16 22:07:36

The Experiment of the Inertiatorque

Authors: GuagSan Yu
Comments: 4 Pages.

For the sake of the rotation dynamics, made the rotation dynamics experiment. Get the Inertia-torque concept, of the rotation dynamics.
Category: Classical Physics

[8659] viXra:1409.0130 [pdf] submitted on 2014-09-16 22:07:50

Attest the Moment of Inertia is Wrong

Authors: GuagSan Yu
Comments: 1 Page.

Moment of inertia is wrong. In it of formula deduce process, have serious I = mr 2 mistake. This is the can testify.
Category: Classical Physics

[8658] viXra:1409.0129 [pdf] submitted on 2014-09-16 15:25:04

Sparse Representations and Its Applications in Digital Communication

Authors: Abdeldjalil AISSA-EL-BEY
Comments: 149 Pages. French

Sparse representations are representations that account for most or all information of a signal with a linear combination of a small number of elementary signals called atoms. Often, the atoms are chosen from a so called over-complete dictionary. Formally, an over-complete dictionary is a collection of atoms such that the number of atoms exceeds the dimension of the signal space, so that any signal can be represented by more than one combination of different atoms. Sparseness is one of the reasons for the extensive use of popular transforms such as the Discrete Fourier Transform, the wavelet transform and the Singular Value Decomposition. The aim of these transforms is often to reveal certain structures of a signal and to represent these structures using a compact and sparse representation. Sparse representations have therefore increasingly become recognized as providing extremely high performance for applications as diverse as: noise reduction, compression, feature extraction, pattern classification and blind source separation. Sparse representation ideas also build the foundations of wavelet denoising and methods in pattern classification, such as in the Support Vector Machine and the Relevance Vector Machine, where sparsity can be directly related to learnability of an estimator. The technique of finding a representation with a small number of significant coefficients is often referred to as Sparse Coding. Decoding merely requires the summation of the relevant atoms, appropriately weighted. However, unlike a transform coder with its invertible transform, the generation of the sparse representation with an over-complete dictionary is non-trivial. Indeed, the general problem of finding a representation with the smallest number of atoms from an arbitrary dictionary has been shown to be NP-hard. This has led to considerable effort being put into the development of many sub-optimal schemes. These include algorithms that iteratively build up the signal approximation one coefficient at a time, e.g. Matching Pursuit, Orthogonal Matching Pursuit, and those that process all the coefficients simultaneously, e.g. Basis Pursuit, Basis Pursuit De-Noising and the Focal Underdetermined System Solver family of algorithms.
Category: Digital Signal Processing

[8657] viXra:1409.0128 [pdf] submitted on 2014-09-16 15:29:21

Elementary Differences Between Energy and Mass

Authors: Rodolfo A. Frino
Comments: 2 Pages.

In this paper I explain the elementary differences between energy and mass. When we consider the famous Einstein's formula E = mc2 these two concepts might look the same with the only differnce of a proportionalyty constant, c2 , between them. However when we explore these two concepts more meticouslosly we discover that they differ in several aspects.
Category: Relativity and Cosmology

[8656] viXra:1409.0127 [pdf] submitted on 2014-09-16 10:08:05

Rates of Convergence of Lognormal Extremes Under Power Normalization

Authors: Jianwen Huang, Shouquan Chen
Comments: 15 Pages.

Let $\{X_n,~n\geq1\}$ be an independent and identically distributed random sequence with common distribution $F$ obeying the lognormal distribution. In this paper, we obtain the exact uniform convergence rate of the distribution of the maximum to its extreme value limit under power normalization.
Category: Statistics

[8655] viXra:1409.0126 [pdf] submitted on 2014-09-16 10:18:55

Journey of the Universe from Birth to Rebirth with Insight Into the Unified Interaction of Elementary Particles with Spiral Structure

Authors: Suraj Kumar
Comments: 13 Pages.

In this paper it has been tried to propose a hypothesis for Universe life cycle from its birth to death along with a cyclic view into its rebirth referring to the concept of Cosmic Microwave Background Radiation, Spiral Structure of Galaxies and Spiral Structure of Elementary Particles. It has been tried to inherit the behaviour of Big Bang in consensus with the proposals of Steady State Cosmology within the vicinity of all modern ongoing researches. It also provides a unified approach for various force interactions of particles through the intrinsic behaviours of Spiral Structure of Elementary Particles. The inverse relation between mass of particle and rate of change of cross section of spiral arms gives us a distinct view of gravitational interactions. Also the orientation of the curl of spiral differentiate the electromagnetic interaction when has revolution and electroweak interaction when has rotational curl. Strong interaction can be described through the phase differences of particles with charge not in multiple of ½. This paper also describes the process for formation off composite particles and the atomic structure through various dynamics of interactions by spiral structured particles.
Category: Nuclear and Atomic Physics

[8654] viXra:1409.0125 [pdf] submitted on 2014-09-16 10:33:17

16

Authors: Jianwen Huang, Shouquan Chen, Jiaojiao Liu
Comments: 16 Pages.

In this paper, we derive the extreme value distributions of independent identically distributed random variables with mixed distributions of two and finite components, which include generalized logistic, asymmetric Laplace and asymmetric normal distributions.
Category: Functions and Analysis

[8653] viXra:1409.0124 [pdf] submitted on 2014-09-16 03:54:14

Homology Classes of 3-Delta-complexes Made up of a Small Number of Simplexes

Authors: Vincenzo Nardozza
Comments: 10 Pages.

By means of a computer, all the possible homogeneous compact 3-Delta-complexes made up of a small number of simplexes (from 1 to 3) have been classified in homology classes. The analysis shows that, with a small number of simplexes, it is already possible to build quite a large number of separate topological spaces.
Category: Topology

[8652] viXra:1409.0123 [pdf] submitted on 2014-09-16 04:17:45

Critical Behavior of Heisenberg Chains Coupled to Phonons

Authors: Rainer W. Kühne
Comments: 4 Pages. This preprint was accepted for publication by Physicsal Review B. The author was forced by Prof. Klaus Fabricius to withdraw the paper from both Physical Review B and the arXiv preprint server. The author is still thinking that the paper is correct.

We present a quantum Monte Carlo study for the isotropic antiferromagnetic Heisenberg chain coupled to Einstein phonons. By investigating the behavior of the correlation length we find the critical exponent to depend on both the phonon frequency and the spin-phonon coupling constant. Hence, these systems change the universality class continuously with the spin-phonon coupling.
Category: Condensed Matter

[8651] viXra:1409.0122 [pdf] submitted on 2014-09-16 04:31:51

The Proof of Dirichlet's Assertion on Celestial Mechanics

Authors: Reinhard Frischbier
Comments: 7 Pages.

Since the proof given by Wang Qiu-Dong on Dirichlet's assertion is based on the successive approximations objections to assumptions of the global solution of this problem have to be raised.
Category: Mathematical Physics

[8650] viXra:1409.0120 [pdf] submitted on 2014-09-15 15:02:25

Examples of Solving PDEs by Order Completion

Authors: Elemer E Rosinger
Comments: 15 Pages.

So far, the order completion method for solving PDEs, introduced in 1990, can solve by far the most general linear and nonlinear systems of PDEs, with possible initial and/or boundary data. Examples of solving various PDEs with the order completion method are presented. Some of such PDEs do not have global solutions by any other known methods, or are even proved not to have such global solutions. The presentation next aims to be as summary, and in fact, sketchy as possible, even if by that it may create some difficulty. However, nowadays, being subjected to an ever growing ``information overload", that approach may turn out to be not the worst among two bad alternatives. Details can be found in [1], while on the other hand, alternative longer "short presentations" are in [6-8].
Category: General Mathematics

[8649] viXra:1409.0119 [pdf] submitted on 2014-09-15 10:24:34

Tail Behavior of the Generalized Exponential and Maxwell Distributions

Authors: Jianwen Huang, Shouquan Chen
Comments: 9 Pages.

Motivated by Finner et al. (2008), the asymptotic behavior of the probability density function (pdf) and the cumulative distribution function (cdf) of the generalized exponential and Maxwell distributions are studied. Specially, we consider the asymptotic behavior of the ratio of the pdfs (cdfs) of the generalized exponential and Student's $t$-distributions (likewise for the Maxwell and Student's $t$-distributions) as the degrees of freedom parameter approach infinity in an appropriate way. As by products, Mills' ratios for the generalized exponential and Maxwell distributions are gained. Moreover, we illustrate some examples to indicate the application of our results in extreme value theory.
Category: Statistics

[8648] viXra:1409.0118 [pdf] submitted on 2014-09-15 07:31:22

Should the Standard Model of Particle Physics Have Merely a Conventional Definition of the Electric Charge ?

Authors: Syed Afsar Abbas
Comments: 7 Pages.

It is most disconcerting that the Standard Model of particle physics defines, as fundamental a quantity as the electric charge, only conventionally and arbitrarily. We look into the nature of this conventionality and try to find an underlying structure to it. This brings in the Higgs field in a non-trivial manner, which points as to how the above arbitrariness and conventionality may be avoided. Next, the same is demonstrated as actually being part of the intrinsic mathematical structure of the Standard Model.
Category: High Energy Particle Physics

[8647] viXra:1409.0117 [pdf] submitted on 2014-09-15 09:35:28

Teoría de Campo Relativista

Authors: Wenceslao Segura González
Comments: 174 Pages. Spanish

El libro "Teoría de campo relativista" expone de forma clara las técnicas físico-matamáticas usadas en el estudio de los campos clásicos relativistas. Este libro cumple una función pedagógica, estando dirigido a aquellos, que teniendo un conocimiento básico de electromagnetismo y relatividad, quieran profundizar en los aspectos formales de la teoría de campo. Índice Introducción 1.- Geometría diferencial 2.- Formulación lagrangiana de la teoría de campos 3.- Campo electromagnético 4.- Campo gravitatorio 5.- Teoría de campo unificado de Weyl Apéndice 1 Apéndice 2
Category: Relativity and Cosmology

[8646] viXra:1409.0116 [pdf] submitted on 2014-09-15 04:50:56

On the Electric and Magnetic Forces

Authors: José Francisco García Juliá
Comments: 2 Pages.

The electric and magnetic forces would be produced by a polarization of the vacuum.
Category: Classical Physics

[8645] viXra:1409.0115 [pdf] submitted on 2014-09-14 23:22:57

Analyze Mistake of the Newton Third Law

Authors: GuagSan Yu
Comments: 11 Pages.

The dynamics experiment indicated, the Newton third law is wrong. So where is it been mistakes? The demand deepest analysis in action and reaction, it of meaning and it of principle. The result is to make person feelings shock, it is really wrong that Newton third law!
Category: Classical Physics

[8644] viXra:1409.0114 [pdf] submitted on 2014-09-14 06:57:50

New Light on the Nature of Light

Authors: Hasmukh K. Tank
Comments: A four page letter

My study of wave-particle-duality of light, as described in a paper: “Proposed explanations for the wave-particle duality of light and double-slit interference experiments” (Tank, H. K. http://vixra.org/pdf/1407.0036v2.pdf) leads to new light about the true nature of ‘light’; that real wavelengths and frequencies of ‘light’ are not what we have been thinking so far; rather, they are the ‘distances’ and ‘time-rates’ of repetitions ‘particles’ in space and time. The actual frequencies and wavelengths of the ‘wave’ are likely to be much higher, possibly close to the frequency of the electron, of the order of 10^22 cycles/second. It was found in the above-cited paper that if light is both ‘wave’ as well as ‘particle’, then a photon should contain a wide ‘band’ of waves, rather than a single frequency; and whenever and wherever all the spectral components of the wide band get constructively added a ‘particle’ gets formed. The wavelength and frequency of the actual wave, and the ‘distances’ and ‘time-rate’ of consecutive formations of ‘particle’ are two different phenomena. So far we have been taking the ‘distances’ and ‘time-rates’ of formation of ‘particles’ as the wavelength and frequencies of light, which may not correct, in the light of this new finding.
Category: Quantum Physics

[8643] viXra:1409.0113 [pdf] submitted on 2014-09-14 08:55:20

The Chromatic-Covering of a Graph: Ratios, Domination, Areas and Farey Sequences

Authors: Paul August Winter
Comments: 21 Pages.

The study of the chromatic number and vertex coverings of graphs has opened many avenues of research. In this paper we combine these two concepts in a ratio, to investigate the domination effect of the chromatic number, of the subgaph induced by a vertex covering of a graph G (called the cover graph of G), on the original chromatic number of G, where large number of vertices are involved. This is referred to as the chromatic-cover domination. If this chromatic-cover ratio is a function of n, the order of graphs belonging to a class of graph, then we discuss its horizontal asymptotic behavior and attach the graphs average degree to the Riemann integral of this ratio, thus associating chromatic-cover area with classes of graphs. We found that the chromatic-cover domination had a strongest effect on complete graph, while this chromatic-cover domination had zero effect on star graphs. We show that the chromatic-cover asymptote of all classes of graphs belong to the interval [0,1], and conjecture that complete graphs are the only class of graphs having chromatic-cover asymptote of 1 and that they also have the largest area . We construct a class of graphs, using known classes of graph where vertices are replaced with cliques on q vertices, thus generating sequences which converges to the chromatic-cover asymptote of known classes of graphs. We use a particular sequence to construct a Farey chromatic-cover sequence which is a subsequence of the famous Farey sequence.
Category: Combinatorics and Graph Theory

[8642] viXra:1409.0112 [pdf] submitted on 2014-09-13 21:45:39

Epigenetic Effects of Cytosine Derivatives Are Caused by Their Tautomers in Hoogsteen Base Pairs

Authors: Denis A. Semyonov
Comments: 6 Pages.

Deoxycitidine in solution exists as two tautomers one of which is an “uncanonical” imino one. The latter can dominate with such derivatives as 5-methyl, 5-hydroxymethyl- and 5-formylcytosine. The imino tautomer potentially is able to form a hoosteen GC base pair. To detect such pair, it is suggested to use 1H15N NMR. Formation of GC-Hoogsteen base pair with imino tautomer of cytosine can be a reason for epigenetic effects of 5-methyl- and , 5-hydroxymethylcytosine.
Category: Biochemistry

[8641] viXra:1409.0111 [pdf] submitted on 2014-09-13 15:43:12

The 400 Billion’th Binary Digit of pi is 0

Authors: Simon Plouffe
Comments: 16 Pages. talk in Ottawa 1997.

A talk given in Ottawa in 1997 about the computation of pi in binary.
Category: Number Theory

[8640] viXra:1409.0110 [pdf] submitted on 2014-09-13 16:06:52

Miscellaneous Mathematical Constants

Authors: Simon Plouffe
Comments: 96 Pages.

This is my collection of mathematical constants evaluated to many digits. The document was given a copy to the gutenberg project in 1996.
Category: Number Theory

[8639] viXra:1409.0109 [pdf] submitted on 2014-09-13 16:22:22

Introducing Unitary Circles

Authors: Doug Jensen
Comments: 6 Pages. New math concepts introduced related to spin and imaginary numbers.

Unitary circles model the property of spin, and are based on imaginary numbers. The imaginary constant i is not a real number, and it has not been apparent how it relates to real numbers. With unitary circles, the role of imaginary numbers can be clearly understood. And the definition of i changes.
Category: Mathematical Physics

[8638] viXra:1409.0108 [pdf] submitted on 2014-09-13 16:13:26

The first 498 Bernoulli Numbers

Authors: Simon Plouffe
Comments: 23 Pages.

A list of the first 498 Bernoulli Numbers. This text was published in 1996 and donated to the Gutenberg Project.
Category: Number Theory

[8637] viXra:1409.0107 [pdf] submitted on 2014-09-13 16:14:18

The first 1000 Euler Numbers

Authors: Simon Plouffe
Comments: 112 Pages.

A list of the first 1000 Euler Numbers. This text was published in 1996 and donated to the Gutenberg Project.
Category: Number Theory

[8636] viXra:1409.0106 [pdf] submitted on 2014-09-13 16:14:58

The first 1000 Fibonacci Numbers

Authors: Simon Plouffe
Comments: 38 Pages.

A list of the first 1000 Fibonacci Numbers. This text was published in 1996 and donated to the Gutenberg Project.
Category: Number Theory

[8635] viXra:1409.0105 [pdf] submitted on 2014-09-13 12:25:36

A Proof of Nonexistence of Green's Functions for the Maxwell Equations

Authors: Zafar Turakulov
Comments: 6 Pages.

Arguments in favor of existence of Green's functions for all linear equations are analyzed. In case of equation for electromagnetic field, these arguments have been widely used through formal considerations according to which electromagnetic field equations are nothing but some non-covariant scalar equations. We criticize these considerations and show that justification of applying the method of Green's functions to equations of classical electrodynamics are invalid. Straightforward calculations are presented which show that in case of dipole radiation the method gives incorrect results.
Category: Mathematical Physics

[8634] viXra:1409.0104 [pdf] submitted on 2014-09-13 12:42:17

On The Evolving And Emitting Quantum Black Holes And The Scale Independent Black Hole Cosmology

Authors: U.V.S. Seshavatharam, S.Lakshiminarayana
Comments: 10 Pages.

Along with presently the believed black holes that are expected to be formed by gravitational collapse of a massive star, there may exist primordial evolving black holes. By absorbing the hidden vacuum energy primordial evolving black holes become massive. Planck mass can be considered as the basic mass of any black hole and can be called as the baby Planckion. Very high temperature of the baby Planckion is the heat source for the evolving black hole’s or evolving Planckion’s decreasing temperature. Considering the current cosmic microwave back ground temperature as a quantum gravitational effect of the evolving primordial cosmic black hole, general theory of relativity and quantum mechanics can be combined into a ‘scale independent’ true unified model of quantum gravity. Considering cosmic black hole’s light speed rotation and galactic revolution, observed galactic rotational curves can be understood. In the past, decreasing high cosmic black hole temperature forced hydrogen atom to emit increasing photon energy resulting in the observed redshift. Aged super novae dimming may be due to the effect of past high cosmic black hole temperature. As cosmic time passes, decreasing current cosmic black hole temperature makes hydrogen atom to emit increased quanta of energy causing the future redshift. In future, with reference to laboratory hydrogen atom, decreasing current cosmic temperature and measured rate of increase in emitted photon energy - true rate of future cosmic expansion can be understood. With reference to the decreasing current Hubble constant and decreasing current cosmic black hole temperature, true rate of future cosmic expansion can also be understood. Foundations of Quantum mechanics and General theory of relativity may be reviewed in this unified way.
Category: Relativity and Cosmology

[8633] viXra:1409.0103 [pdf] submitted on 2014-09-13 14:48:21

How to Guess a Generating Function

Authors: Simon Plouffe
Comments: 24 Pages. bitmaps from hypercard stack

Conference given in Vancouver in 1995 at Simon Fraser University. keywords : generating function, GFUN, Encyclopedia of integer sequences, sequence, rational polynomial
Category: Number Theory

[8632] viXra:1409.0102 [pdf] submitted on 2014-09-13 10:10:30

The Feynman Integral in the Ways of Extreme Information.

Authors: Kuyukov Vitaly
Comments: 6 Pages. vitalik.kayukov@mail.ru

This article applies the holographic principle to obtain the basic provisions information model of quantum mechanics and is an entirely new interpretation of wave functions via the Feynman integral in the ways of extreme informational entropy.
Category: Quantum Physics

[8631] viXra:1409.0101 [pdf] submitted on 2014-09-13 03:44:58

Compositeness Tests for Specific Classes of K3^n+2

Authors: Predrag Terzic
Comments: 1 Page.

Conjectured polynomial time compositeness tests for specific classes of numbers of the form k3^n+2 are introduced .
Category: Number Theory

[8630] viXra:1409.0100 [pdf] submitted on 2014-09-12 21:15:51

The Lattice Reduction Algorithm and Applications, LLL and PSLQ

Authors: Simon Plouffe
Comments: 29 Pages.

Conference in 1996 at SFU Vancouver and Montréal. I present a serie of examples using the LLL algorithm.
Category: Number Theory

[8629] viXra:1409.0099 [pdf] submitted on 2014-09-12 21:22:49

A Search for a Mathematical Expression for Mass Ratios Using a Large Database

Authors: Simon Plouffe
Comments: 15 Pages.

A computation experiment was conducted on mass ratio of fundamental particles. A series of method are explained.The interest is on the methodology used. The goal was to verify that no simple answer exist yet.
Category: Number Theory

[8628] viXra:1409.0098 [pdf] submitted on 2014-09-12 21:25:41

Les Empilements D'hexagone et Quelques Méthodes

Authors: Simon Plouffe
Comments: 26 Pages. This is a talk made in Montréal in 1992.

En physique on modélise le comportement des gaz, du cristal de glace et du ferromagnétisme par l'étude de l'empilement d'objets sur le plan Z*Z, ou dans l'espace. On tente d'expliquer surtout les phénomènes de transition de phase. Ce qui intéresse les physiciens c'est le comportement du système lorsque la température T tend vers Tc, une température à laquelle se fait la transition entre deux états. Si on a une formule explicite on peut simuler pour de grandes valeurs. On compte, en prenant modèle sur les partitions ordinaires. L'énergie d'interaction des molécules entre elles étant comptée comme une "arête" entre 2 sommets i et j du plan Z*Z. L'interaction se mesure alors avec 2 variables qu'on somme sur toutes les positions possibles. On cherche donc la limite quand N tend vers l'infini. (N grand : beaucoup de molécules).
Category: Number Theory

[8627] viXra:1409.0097 [pdf] submitted on 2014-09-12 14:37:20

Electro-Osmosis With Corrected Solution of Poisson-Boltzmann Equation That Satisfies Charge Conservation Principle

Authors: Rajib Chakraborty
Comments: 4 Pages.

We derive the electro-osmotic velocity profile in a micro-channel using a recently corrected charge density distribution within an electrolytic solution. Previous distribution did not take care of charge conservation principle while solving Poisson-Boltzmann equation and needed modification, hence the velocity profile also needs modification that we do here. Helmholtz-Smoluchowskii velocity scale is redefined, which accommodates Debye length parameter in it, unlike old definition.
Category: Condensed Matter

[8626] viXra:1409.0095 [pdf] submitted on 2014-09-12 10:28:07

Computing the Generating Function of a Series Given Its First Few Terms

Authors: Simon Plouffe, François Bergeron
Comments: 6 Pages. Published in 1991

We outline an approach for the computation of a good candidate for the generating function of a power series for which only the first few coefficients are known. More precisely, if the derivative, the logarithmic derivative, the reversion, or another transformation of a given power series (even with polynomial coefficients) appears to admit a rational generating function, we compute the generating function of the original series by applying the inverse of those transformations to the rational generating function found.
Category: Number Theory

[8625] viXra:1409.0094 [pdf] submitted on 2014-09-12 10:29:19

A Relative of the Thue-Morse Sequence

Authors: Simon Plouffe, Jean-Paul Allouche, André Arnold, Srecko Brlek, Jean Berstel, William Jockusch, Bruce E. Sagan
Comments: 10 Pages. Published in 1992

We study a sequence, c, which encodes the lengths of blocks in the Thue-Morse sequence. In particular, we show that the generating function for c is a simple product.
Category: Number Theory

[8624] viXra:1409.0093 [pdf] submitted on 2014-09-12 10:31:59

On the Rapid Computation of Various Polylogarithmic Constants

Authors: Simon Plouffe, David H. Bailey, Peter Borwein
Comments: 14 Pages. Published in 1997

We give an algorithm for the computation of the d'th digit of certain numbers in various bases.
Category: Number Theory

[8623] viXra:1409.0092 [pdf] submitted on 2014-09-12 10:33:03

Recognizing Numerical Constants

Authors: Simon Plouffe, David H. Bailey
Comments: 17 Pages. Published in 1996

The advent of inexpensive, high-performance computers and new efficient algorithms have made possible the automatic recognition of numerically computed constants. In other words, techniques now exist for determining, within certain limits, whether a computed real or complex number can be written as a simple expression involving the classical constants of mathematics. These techniques will be illustrated by discussing the recognition of Euler sum constants, and also the discovery of new formulas for π and other constants, formulas that permit individual digits to be extracted from their expansions.
Category: Number Theory

[8622] viXra:1409.0091 [pdf] submitted on 2014-09-12 10:34:44

The Quest for Pi

Authors: Simon Plouffe, David Bailey, Jon Borwein, Peter Borwein
Comments: 16 Pages. Published in 1997

This article gives a brief history of the analysis and computation of the mathematical constant π = 3.14159 . . ., including a number of the formulas that have been used to compute π through the ages. Recent developments in this area are then discussed in some detail, including the recent computation of π to over six billion decimal digits using high-order convergent algorithms, and a newly discovered scheme that permits arbitrary individual hexadecimal digits of π to be computed.
Category: Number Theory

[8621] viXra:1409.0090 [pdf] submitted on 2014-09-12 06:18:51

Three Objections to Modern Physics

Authors: Lubomir Vlcek
Comments: 27 Pages.

Relationship for kinetic energy derived from the asymmetrical form of the intensity of the moving charge. To derive it we do not need Lorentz's transformations equations, we do not need SPACE-TIME. We do not need local time, or covariant equations or physical simultaneity definition or invariant interval. In other words, in physics we do not need Einstein's theory of relativity. From the asymmetrical form of the intensity of the moving charge we can derive Gauss law, Faraday's law and derive the 4th Maxwell's equation ( fictional by Maxwell and up to now was not derived).Kinetic energy of a charge moving at the velocity of v has two different values: in direction of motion as own kinetic energy of charge and against direction of motion of charge represents the wave energy, which charge creates in transmision medium. Kaufmann's experiment, Fizeau's experiment, Harres's Experiment, Kirchner, Perry, Chaffee experiments are reviewed. Three objections to modern physics: 1. Form of the interference field is non-linear, 2.Form of Intensity of the Moving Charge Electric Field is asymmetrical, 3. Kinetic energy of a charge moving at the velocity of v has two different values: Kinetic energy of electron , (proton) Tkin id =mc2 [ln |1-v/c|+ (v/c) / (1-v/c) ] in direction of motion of electron, (proton) where v is velocity of electron, (proton). Kinetic energy of electron , (proton) Tkin ad = mc2 [ln |1+v/c|- (v/c) / (1+v/c) ] against direction of motion of electron, (proton) where v is velocity of electron, (proton).
Category: Relativity and Cosmology

[8620] viXra:1409.0089 [pdf] submitted on 2014-09-12 03:42:31

Compositeness Tests for Specific Classes of K3^n-2

Authors: Predrag Terzic
Comments: 1 Page.

Conjectured polynomial time compositeness tests for specific classes of numbers of the form k3^n-2 are introduced .
Category: Number Theory

[8619] viXra:1409.0088 [pdf] submitted on 2014-09-12 04:54:40

The Center of Life

Authors: Klinkerman R.V.
Comments: 5 Pages.

This article is devoted to clarification and addition of ideas, stated in author’s “Great Center”, supposing a management of biological life to a great extent from the center of Earth [1]. Keywords: zero vibrations, particles, gravitation, complex photons, Center, creation, organisms, philosophy.
Category: General Science and Philosophy

[8618] viXra:1409.0087 [pdf] submitted on 2014-09-12 05:56:15

New Theory of Everything. Big-Bang, Space-Time-Matery and Big-Crunch.

Authors: Ángel Blanco Nápoles
Comments: 10 Pages. Language is not english. Refers to John A. Gowan.

Where we from, where we go? or how we are travel back to future looking only to past. New theory of everything. Gravity is the most powerful and unique "force" in the Universe. New dimension in our present virtual reality and new dimension in our actual present. Origin of all electromagnetics forces. Quantum theory. Geometry of Space-time in our present past. Big-Crunch. New entity named alpha, origin of everything. New vectors for Physic, new velocity and acceleration.
Category: Relativity and Cosmology

[8617] viXra:1409.0086 [pdf] submitted on 2014-09-12 06:15:41

Proof of Barnett's Identity

Authors: Jacob Barnett
Comments: 4 Pages.

In order for vortex equations on moduli spaces of $Z_n$ orbifolds with $N=1$ spacetime supersymmetry of hyper-Kahler Hirzebruch surfaces fibered over a lens space to be gauge mediated, one requires $$\sum_{k=0}^{\infty}k=\dfrac{e^{i\pi}}{11.999...}$$. This identity is proved via the thrice iterated application of integration operators, and by evaluating non-trivial zeros of real valued second degree polynomials of a single variable.
Category: Mathematical Physics

[8616] viXra:1409.0085 [pdf] submitted on 2014-09-12 02:42:51

Higher Standards for Education in Xxi Century

Authors: Komarov Vladimir
Comments: 20 Pages. The results of research reported at conferences:European Conference on Research in Chemistry Education 2014 “New Trends in Research-based Chemistry Education”, International Conference on 21st Century Education 2014

Increasing the amount of information in all 15 areas of knowledge base requires from teachers to establish its rules of selection , sorting, ordering, ways of presenting and tools of presentation. Selection of information is determined by the individual and the demands of social development in the coming decades . Sort information defined basic human activities and developing their methodological and logical apparatus . Ordering information is based on creation and allocation of a set of mnemonic devices and rules. Form submission of information should be based on systematic. A feature of such systematic should not only function " restore order " in the already known information field (along with the correction of false information ) , but the predictive function. In addition, the taxonomy should not be formed by creating a formal spreadsheets and databases and based on the general laws of nature - concept of the symmetry , Homology, conservation laws involving combinatorics , which has repeatedly "used " by Nature as a search for optimal mutational paths of evolution , selection, adaptation and adjustment . Reporting tools should be used as a conditioned reflex and unconditioned reflex students activity.
Category: General Science and Philosophy

[8615] viXra:1409.0084 [pdf] submitted on 2014-09-12 02:55:23

Extended Lorentz Transformations in Clifford Space Relativity Theory

Authors: Carlos Castro
Comments: 14 Pages. Submitted to Advances in Applied Clifford Algebras

Some novel physical consequences of the Extended Relativity Theory in $C$-spaces (Clifford spaces) were explored recently. In particular, generalized photon dispersion relations allowed for energy-dependent speeds of propagation while still $retaining$ the Lorentz symmetry in ordinary spacetimes, but breaking the $extended$ Lorentz symmetry in $C$-spaces. In this work we analyze in further detail the extended Lorentz transformations in Clifford Space and their physical implications. Based on the notion of ``extended events" one finds a very different physical explanation of the phenomenon of ``relativity of locality" than the one described by the Doubly Special Relativity (DSR) framework. A generalized Weyl-Heisenberg algebra, involving polyvector-valued coordinates and momenta operators, furnishes a realization of an extended Poincare algebra in $C$-spaces. In addition to the Planck constant $\hbar$, one finds that the commutator of the Clifford scalar components of the Weyl-Heisenberg algebra requires the introduction of a $dimensionless$ parameter which is expressed in terms of the ratio of two length scales : the Planck and Hubble scales. We finalize by discussing the concept of ``photons", null intervals, effective temporal variables and the addition/subtraction laws of generalized velocities in $C$-space.
Category: Quantum Gravity and String Theory

[8614] viXra:1409.0083 [pdf] submitted on 2014-09-11 13:03:50

An Efficient Algorithm for the Computation of Bernoulli Numbers

Authors: Simon Plouffe, Greg Fee
Comments: 8 Pages.

This article gives a direct formula for the computation of B (n) using the asymptotic formula
Category: Number Theory

[8613] viXra:1409.0082 [pdf] submitted on 2014-09-11 13:05:32

Une Méthode Pour Obtenir la Fonction Génératrice D'une Série

Authors: Simon Plouffe
Comments: 11 Pages. Conference in Florence in 1993

Nous décrivons ici une méthode expérimentale permettant de calculer de bons candidats pour une forme close de fonctions génératrices à partir des premiers termes d’une suite de nombres rationnels.
Category: Number Theory

[8612] viXra:1409.0081 [pdf] submitted on 2014-09-11 13:07:48

Approximations de Séries Génératrices et Quelques Conjectures

Authors: Simon Plouffe
Comments: 550 Pages. Master thesis 1992

master thesis of 1992, université du québec à Montréal. The thesis served as a template for the Encyclopedia of Integer Sequences in 1995 by Neil Sloane and Simon Plouffe
Category: Number Theory

[8611] viXra:1409.0080 [pdf] submitted on 2014-09-11 13:10:25

On the Computation of the Nth Decimal Digit of Various Transcendental Numbers

Authors: Simon Plouffe
Comments: 8 Pages. Article of November 1996

A method for computing the n'th decimal digit of Pi in O(n^3log(n)^3) in time and with very little memory is presented here.
Category: Number Theory

[8610] viXra:1409.0079 [pdf] submitted on 2014-09-11 13:12:12

Identities Inspired by the Ramanujan Notebooks, First Series

Authors: Simon Plouffe
Comments: 4 Pages.

I present here a collection of formulas inspired from the Ramanujan Notebooks. These formulas were found using an experimental method based on three widely available symbolic computation programs: PARI-Gp, Maple and Mathematica. A new formula is presented for Zeta(5) Une collection de formules inspirées des Notebooks de S. Ramanujan, elles ont toutes été trouvées par des méthodes expérimentales. Ces programmes de calcul symbolique sont largement disponibles (Pari-GP, Maple, Mathematica). Une nouvelle formule pour Zeta(5) est présentée.
Category: Number Theory

[8609] viXra:1409.0078 [pdf] submitted on 2014-09-11 13:14:44

Identities Inspired by the Ramanujan Notebooks, Second Series

Authors: Simon Plouffe
Comments: 9 Pages.

A series of formula is presented that are all inspired by the Ramanujan Notebooks [6]. One of them appears in the notebooks II which is for Zeta(3). That formula inspired others that appeared in 1998, 2006 and 2009 on the author’s website and later in literature [1][2][3]. New formulas for and the Catalan constant are presented along with a surprising series of approximations. A new set of identities is given for Eisenstein series. All of the formulas are conjectural since they were found experimentally. A new method is presented for the computation of the partition function. Une série de formules utilisant l’exponentielle est présentée. Ces résultats reprennent ceux apparaissant en 1998, 2006 et 2009 sur [1][2][3]. Elles sont toutes inspirées des Notebooks de Ramanujan tels que Zeta(3). Une nouvelle série pour Zeta(3) et la constante de Catalan sont présentés ainsi qu’une série d’approximations surprenantes. Une série d’identités nouvelles sont présentées concernant les séries d’Eisenstein. Toutes les formules présentées sont des conjectures, elles ont toutes été trouvées expérimentalement. Une nouvelle méthode est présentée pour le calcul des partages d’un entier.
Category: Number Theory

[8608] viXra:1409.0077 [pdf] submitted on 2014-09-11 10:00:26

Curvature of N-Dimensional Ellipsoids Embedded in R^(n+1)

Authors: Hanno Essén, Lars Hörnfeldt
Comments: 1 Page. Abstracts of contributed papers, 11th international conference on general relativity and gravitation, Stockholm, Sweden, abstract no 1:12 (supplementary volume), July 6-12 1986

The curvature tensor and scalar is computed for n up to 6 with the computer algebra system STENSOR. From that new empircal material, formulae for any n are deduced. For the special case of a sphere they coincide with wellknown results.
Category: Geometry

[8607] viXra:1409.0076 [pdf] submitted on 2014-09-11 11:10:16

Compositeness Test for Repunits Base 3

Authors: Predrag Terzic
Comments: 1 Page.

Conjectured polynomial time compositeness test for numbers of the form (3^p-1)/2 is introduced .
Category: Number Theory

[8606] viXra:1409.0075 [pdf] submitted on 2014-09-11 11:36:06

What is a Fair Salary?

Authors: Ramzi Suleiman
Comments: 19 Pages.

Pay satisfaction and pay fairness are of vital concern to the employee, the employer, and hence the entire economic structure. Although the importance of fairness to compensation decisions is widely acknowledged, the research examining how fairness perception relates to components of pay is relatively scarce. Here I model a dyadic employer-employee interaction as a "minimal" two-person game, in which an allocator (e.g., an employer) divides a monetary amount (e.g., a workplace net profit), between herself and a recipient (e.g., an employee). Assuming rational, self-interested players, I propose a level of aspiration model, according to which players' pay satisfaction is proportional to their actual payoffs, relative to their aspired payoffs. Solving for the points of equality between the players' levels of pay satisfaction, yields two possible "harmony" points, depending on the assumption made about the recipient's aspiration. Under the assumption that recipients aspire to receive 50% of the total amount, the predicted harmony allocation is (2/3,1/3), for the allocator and recipient, respectively. On the other hand, assuming that the recipient aspires to be treated equally, i.e., to receive the same amount as the allocator, the predicted harmony allocation is (φ, 1-φ), where φ ≈ 0.62 is the famous Golden Ratio, known for its important role in human aesthetics, and in many fields of science and technology. For a dyadic employer-employee interaction, the above solution prescribes that a fair salary is any percentage of the net profit between ≈ 33% to ≈ 38%, with strong preference for the upper limit, which in addition to yielding higher pay and pay satisfaction, is also aesthetically pleasing. Tests of the proposed model using field data on attitudinal pay fairness, actual pay, and allocation behavior in experimental ultimatum bargaining, lend strong support to the validity of proposed solution.
Category: Social Science

[8605] viXra:1409.0074 [pdf] submitted on 2014-09-11 03:52:26

A Proof of the Collatz Conjecture (After Second Modification)

Authors: Zhang Tianshu
Comments: 18 Pages. This is third manuscript for the article.

If every positive integer is able to be operated to 1 by the set operational rule of the Collatz conjecture, then begin with 1, we can get all positive integers by operations on the contrary of the set operational rule for infinite many times. In this article, we will apply the mathematical induction with the help of certain operations by each other’s- opposed operational rules to prove that the Collatz conjecture is tenable.
Category: Number Theory

[8604] viXra:1409.0073 [pdf] submitted on 2014-09-11 04:04:19

A Proof of the Beal's Conjecture (After Second Modification)

Authors: Zhang Tianshu
Comments: 24 Pages. This is third manuscript for the article.

In this article, we first have proven a lemma of EP+FV≠2M. Successively have proven the Beal’s conjecture by mathematical analyses with the aid of the lemma, such that enable the Beal’s conjecture holds water.
Category: Number Theory

[8603] viXra:1409.0072 [pdf] submitted on 2014-09-10 22:52:17

General Relativity: In Acknowledgement Of Professor Gerardus ‘t Hooft, Nobel Laureate

Authors: Stephen J. Crothers
Comments: 40 pages of text. 60 pages of mathematical appendices and references. The text is comprehensible alone.

I extend my thanks to Professor Gerardus ‘t Hooft, Nobel Laureate in Physics, for making more widely known my work on black hole theory, big bang cosmology, and Einstein’s General Theory of Relativity, by means of his personal website, and for providing me thereby with the opportunity to address the subject matter - supported by extensive references to primary sources for further information - in relation to his many comments, by means of this dedicated paper. The extensive mathematical appendices herein are not prerequisite to understanding the text.
Category: Relativity and Cosmology

[8602] viXra:1409.0071 [pdf] submitted on 2014-09-10 14:26:01

Anima: Adaptive Personalized Software Keyboard

Authors: Panos Sakkos, Dimitrios Kotsakos, Ioannis Katakis, Dimitrios Gunopoulos
Comments: 4 Pages.

We present a Software Keyboard for smart touchscreen de- vices that learns its owner’s unique dictionary in order to produce personalized typing predictions. The learning pro- cess is accelerated by analysing user’s past typed communi- cation. Moreover, personal temporal user behaviour is cap- tured and exploited in the prediction engine. Computational and storage issues are addressed by dynamically forgetting words that the user no longer types. A prototype implemen- tation is available at Google Play Store.
Category: Data Structures and Algorithms

[8601] viXra:1409.0070 [pdf] submitted on 2014-09-10 11:09:09

The Spectrum of Existence

Authors: Devendra Vyas
Comments: 1 Page.

There's only a diagram in the pdf. An attempt to describe the entire spectrum of existence from a mystical perspective in light of - all of the scientific discoveries till date. There's just energy which manifests as the macrocosm when coming thru space-time-gravitation & fundamental limits. Also, it evolves in the microcosm -culminating as the human intellect where alone it is capable of locally collapsing. Global collapse occurs cosmically during cyclical big-crunch, big-bang. Only local and global collapse are energy equilibrium points.Gravity won't ever be unified.It being an appearance force only.
Category: General Science and Philosophy

[8600] viXra:1409.0069 [pdf] submitted on 2014-09-10 11:53:36

Nuclear Fusion: a Different Approach

Authors: Oscar S. De Rus
Comments: 17 Pages.

this brief paper tries to outline some connections only that could probably lead from the current linear models to the single-pointed magnetic confinement model for a nuclear fusion reactor, because of the coherence of the latter with the stars natural working structure and constitution, due to the close similarity of this magnetic confinement model with the natural gravitational confinement produced inside of them. you can take a quick look at the images in section "3 the single-pointed concept" to have a general idea on what this paper is about. the working system is explained throughout the full text, but mainly at the final sections. contact: morkundeya@gmail.com
Category: Nuclear and Atomic Physics

Replacements of recent Submissions

[3871] viXra:1409.0147 [pdf] replaced on 2014-09-19 09:35:56

Stochastic Path Model of Polaroid Polarizer for Bell’s Theorem and Triphoton Experiments

Authors: Paul J. Werbos
Comments: 15 Pages.

Depending on the outcome of the triphoton experiment now underway, it is possible that the new local realistic Markov Random Field (MRF) models will be the only models now available to correctly predict both that experiment and Bell’s Theorem experiments. The MRF models represent the experiments as graphs of discrete events over space-time. This paper extends the MRF approach to continuous time, by defining a new class of realistic model, the stochastic path model, and showing how it can be applied to ideal polaroid type polarizers in such experiments. The final section discusses possibilities for future research, ranging from uses in other experiments or novel quantum communication systems, to extensions involving stochastic paths in the space of functions over continuous space. As part of this, it derives a new Boltzmann-like density operator over Fock space, which predicts the emergent statistical equilibria of nonlinear Hamiltonian field theories, based on our previous work extending the Glauber-Sudarshan P mapping from the case of classical systems described by a complex state variable α to the case of classical continuous fields.
Category: Quantum Physics

[3870] viXra:1409.0141 [pdf] replaced on 2014-09-18 06:36:56

Gerardus ‘t Hooft, Nobel Laureate, On Black Hole Perturbations

Authors: Stephen J. Crothers
Comments: 3 Pages. This paper pertains to: http://viXra.org/abs/1409.0072

Professor Gerardus ‘t Hooft, Nobel Laureate in Physics, Editor-in-Chief of the journal Foundations of Physics, has again brought attention to my work on black hole theory, big bang cosmology, and General Relativity, by means of his personal website, providing me thereby with the opportunity to address his most recent comments, particularly on black holes. Black hole universes are either asymptotically flat or asymptotically curved, by definition, and so there can be no universe containing multiple black holes. All alleged big bang universes are not asymptotically anything.
Category: Relativity and Cosmology

[3869] viXra:1409.0139 [pdf] replaced on 2014-09-18 13:32:05

Non Spin Based Quantum Information Transmission Methods

Authors: Omer Dickstein
Comments: 15 Pages.

Most physicists claim no superluminal communication between two seperate points in space is possible in any manner. This claim is based on the no communication theory and on special relativity stating all communication methods are subluminal. This paper discusses theoretical 'holes' in no communication theorem and proposes an experiment that may check the validity of the no-communication theorem under special conditions.
Category: Quantum Physics

[3868] viXra:1409.0136 [pdf] replaced on 2014-09-20 21:39:58

A Brief Note on Charge Quantization from Fractal Distributions

Authors: Ervin Goldfain
Comments: 3 Pages. Work in progress.

This brief note points out that classical Maxwell equations on fractal distributions can accommodate fractional magnetic charges. Although these fractional objects are un-observable at energy scales significantly lower than the electroweak scale, their cumulative contribution may become relevant for charge quantization in Dirac’s theory of magnetic monopoles.
Category: High Energy Particle Physics

[3867] viXra:1409.0131 [pdf] replaced on 2014-09-16 22:20:51

The Experiment of the Inertia-Torque

Authors: GuagSan Yu
Comments: 4 Pages.

For the sake of the rotation dynamics, made the rotation dynamics experiment. Get the Inertia-torque concept, of the rotation dynamics.
Category: Classical Physics

[3866] viXra:1409.0123 [pdf] replaced on 2014-09-18 03:51:03

Critical Behavior of Heisenberg Chains Coupled to Phonons

Authors: Rainer W. Kühne
Comments: 4 Pages. This preprint was accepted for publication by Physicsal Review B. The author was forced by Prof. Klaus Fabricius to withdraw the paper from both Physical Review B and the arXiv preprint server. The author is still thinking that the paper is correct.

We present a quantum Monte Carlo study for the isotropic antiferromagnetic Heisenberg chain coupled to Einstein phonons. By investigating the behavior of the correlation length we find the critical exponent to depend on both the phonon frequency and the spin-phonon coupling constant. Hence, these systems change the universality class continuously with the spin-phonon coupling.
Category: Condensed Matter

[3865] viXra:1409.0122 [pdf] replaced on 2014-09-16 07:36:10

The Proof of Dirichlet's Assertion on Celestial Mechanics

Authors: Reinhard Frischbier
Comments: 7 Pages.

Since the proof given by Wang Qiu-Dong on Dirichlet's assertion is based on the successive approximations objections to assumptions of the global solution of this problem have to be raised.
Category: Mathematical Physics

[3864] viXra:1409.0115 [pdf] replaced on 2014-09-17 20:25:35

Analyze Mistake of the Newton Third Law

Authors: GuagSan Yu
Comments: 11 Pages.

The dynamics experiment indicated, the Newton third law is wrong. So where is it been mistakes? The demand deepest analysis in action and reaction, it of meaning and it of principle. The result is to make person feelings shock, it is really wrong that Newton third law!
Category: Classical Physics

[3863] viXra:1409.0114 [pdf] replaced on 2014-09-16 09:08:55

New Light on the Nature of Light

Authors: Hasmukh K. Tank
Comments: A four page letter

My study of wave-particle-duality of light, as described in a paper: “Proposed explanations for thewave-particle duality of light and double-slit interference of single photons” (Tank, H. K. http://vixra.org/pdf/1407.0036v2.pdf) leads to new light about the true nature of ‘light’; that: (i) either the real wavelengths and frequencies of the ‘waves’ of ‘light’ are not what we have been thinking so far; or (ii) the rate of formation of ‘particles’ called ‘photons’ is at much slower rate than the frequency of the waves. It was found in the above-cited paper that if light is both ‘wave’ as well as ‘particle’, then a photon should contain a wide ‘band’ of waves, rather than a single frequency; and whenever and wherever all the spectral components of the wide band get constructively added a ‘particle’ gets formed. The wavelengths and frequencies of the actual band of waves, and the ‘distances’ and ‘time-rate’ of successive formations of ‘particle’ are two different phenomena. Therefore, (i) if the wavelength of the wave measured by us is ‘distance’ between two successive formations of ‘particles’ then the frequency of the actual wave may be much higher; or (ii) if the wavelength measured by us is wavelength of the actual wave, then the formation of ‘particles’ called ‘photons’ may be at much slower rate than the frequency of the wave.. If we can establish perfect relation between wavelengths of the band of waves, and ‘distance’ between successive formations of ‘particles’, then it may be possible to make deterministic prediction of detection of ‘photons’.
Category: Quantum Physics

[3862] viXra:1409.0114 [pdf] replaced on 2014-09-15 02:56:11

New Light on the Nature of Light

Authors: Hasmukh K. Tank
Comments: 4 Pages. A brief letter

My study of wave-particle-duality of light, as described in a paper: “Proposed explanations for the wave-particle duality of light and double-slit interference of single photons” (Tank, H. K. http://vixra.org/pdf/1407.0036v2.pdf) leads to new light about the true nature of ‘light’; that real wavelengths and frequencies of the ‘waves’ of ‘light’ are not what we have been thinking so far; rather, they are the ‘distances’ and ‘time-rates’ of repetitions of ‘particles’ in space and time. The actual frequencies and wavelengths of the ‘wave’ are likely to be much higher, possibly close to the frequency of the electron, of the order of 10^22 cycles/second. It was found in the above-cited paper that if light is both ‘wave’ as well as ‘particle’, then a photon should contain a wide ‘band’ of waves, rather than a single frequency; and whenever and wherever all the spectral components of the wide band get constructively added a ‘particle’ gets formed. The wavelength and frequency of the actual band of waves, and the ‘distances’ and ‘time-rate’ of successive formations of ‘particle’ are two different phenomena. So far we have been taking the ‘distances’ and ‘time-rates’ of formation of ‘particles’ as the wavelength and frequencies of light, which may not correct, in the light of this new finding.
Category: Quantum Physics

[3861] viXra:1409.0100 [pdf] replaced on 2014-09-13 10:46:52

The Lattice Reduction Algorithm and Applications (LLL and PSLQ)

Authors: Simon Plouffe
Comments: 29 Pages. Conference in Montréal and Vancouver 1995-1996

A survey of Integer Relations algorithms such as LLL or PSLQ, some examples are given. A method to get the algebraic generating function from a finite series is given.
Category: Number Theory

[3860] viXra:1409.0095 [pdf] replaced on 2014-09-12 22:03:23

Computing the Generating Function of a Series Given Its First Few Terms

Authors: Simon Plouffe, François Bergeron
Comments: 6 Pages.

We outline an approach for the computation of a good can- didate for the generating function of a power series for which only the first few coefficients are known. More precisely, if the derivative, the logarithmic derivative, the reversion, or another transformation of a given power series (even with polynomial coefficients) appears to admit a rational generating function, we compute the generating function of the original series by applying the inverse of those transformations to the rational generating function found.
Category: Number Theory

[3859] viXra:1409.0093 [pdf] replaced on 2014-09-13 10:50:09

On the Rapid Computation of Various Polylogarithmic Constants

Authors: Simon Plouffe, David Bailey, Peter Borwein
Comments: 13 Pages. a better copy

We give algorithms for the computation of the d-th digit of certain transcendental numbers in various bases. These algorithms can be easily implemented (multiple precision arithmetic is not needed), require virtually no memory, and feature run times that scale nearly linearly with the order of the digit desired. They make it feasible to compute, for example, the billionth binary digit of log (2) or π on a modest work station in a few hours run time.
Category: Number Theory

[3858] viXra:1409.0088 [pdf] replaced on 2014-09-21 06:09:23

The Center of Life

Authors: Klinkerman R.V.
Comments: 5 Pages.

This article is devoted to clarification and addition of ideas, stated in author’s “Great Center”, supposing a management of biological life to a great extent from the center of Earth [1]. Keywords: zero vibrations, particles, gravitation, complex photons, Center, creation, organisms, philosophy.
Category: General Science and Philosophy

[3857] viXra:1409.0087 [pdf] replaced on 2014-09-16 02:16:49

New Theory of Everything or Super Relativity

Authors: Ángel Blanco Nápoles
Comments: 15 Pages. Language is not English. Refers to works of John A. Gowan

Where we from, where we go? or how we are travel back to future looking only to past. New Theory of everything or Super Relativity, Final Theory. Gravity is the most powerful force in the Universe. New dimensions in our present past virtual reality and new dimensions in our Universe. Real Origin of all "electromagnetics forces". Quantum theory. Real Geometry of Space-time in our Universe. There is not Big-Bang and/or Big-Crunch, only Black Holes. What is Black Hole? What is the function of Black Holes? New entities named alpha and beta, origin of everything. New vectors for Physic, new velocities and accelerations. Final Model: two entities and one Force. Our Universe is 12-D: 8 spatial dimensions and 4 time. The most important 2 time dimensions. Antigravity is possible. Inertial and gravitational mass is the same. Origin of mass. Travels to Star is possible. Travel in Time is Theoretical possible. Parallel Universes.
Category: Relativity and Cosmology

[3856] viXra:1409.0075 [pdf] replaced on 2014-09-13 20:27:42

What is a Fair Salary?

Authors: Ramzi Suleiman
Comments: 21 Pages.

Pay satisfaction and pay fairness are of vital concern to the employee, the employer, and hence the entire economic structure. Although the importance of fairness to compensation decisions is widely acknowledged, the research examining how fairness perception relates to components of pay is relatively scarce. Here I model a dyadic employer-employee interaction as a "minimal" two-person game, in which an allocator (e.g., an employer) divides a monetary amount (e.g., a workplace net profit), between herself and a recipient (e.g., an employee). Assuming rational, self-interested players, I propose a level of aspiration model, according to which players' pay satisfaction is proportional to their actual payoffs, relative to their aspired payoffs. Solving for the points of equality between the players' levels of pay satisfaction, yields two possible "harmony" points, depending on the assumption made about the recipient's aspiration. Under the assumption that recipients aspire to receive 50% of the total amount, the predicted harmony allocation is (2/3,1/3), for the allocator and recipient, respectively. On the other hand, assuming that the recipient aspires to be treated equally, i.e., to receive the same amount as the allocator, the predicted harmony allocation is (φ, 1-φ), where φ ≈ 0.62 is the famous Golden Ratio, known for its important role in human aesthetics, and in many fields of science and technology. For a dyadic employer-employee interaction, the above solution prescribes that a fair salary is any percentage of the net profit between ≈ 33% to ≈ 38%, with strong preference for the upper limit, which in addition to yielding higher pay and pay satisfaction, is also aesthetically pleasing. Tests of the proposed model using field data on attitudinal pay fairness, actual pay data, and allocation behavior in experimental ultimatum bargaining, lend strong support to the validity of proposed solution.
Category: Social Science

[3855] viXra:1409.0072 [pdf] replaced on 2014-09-11 13:07:35

General Relativity: In Acknowledgement Of Professor Gerardus ‘t Hooft, Nobel Laureate

Authors: Stephen J. Crothers
Comments: 40 pages of text. 60 pages of mathematical appendices and references. Version 2 corrects some typos.

I extend my thanks to Professor Gerardus ‘t Hooft, Nobel Laureate in Physics, for making more widely known my work on black hole theory, big bang cosmology, and Einstein’s General Theory of Relativity, by means of his personal website, and for providing me thereby with the opportunity to address the subject matter - supported by extensive references to primary sources for further information - in relation to his many comments, by means of this dedicated paper. The extensive mathematical appendices herein are not prerequisite to understanding the text.
Category: Relativity and Cosmology