Mathematical Physics

1804 Submissions

[10] viXra:1804.0475 [pdf] submitted on 2018-04-28 14:20:02

Elementary Functions and Schrödinger Equations

Authors: Y. J. F. Kpomahou, J. Akande, D. K. K. Adjaï, L. H. Koudahoun, M. D. Monsia
Comments: 5 pages

The Schrödinger eigenvalue problem with diverse potentials is investigated in this work. It is shown that exact and explicit discrete bound state solutions may be computed in terms of elementary functions.
Category: Mathematical Physics

[9] viXra:1804.0303 [pdf] submitted on 2018-04-22 02:13:16

Physical Meaning of Wick Rotation and Advanced Waves

Authors: Rodney Bartlett
Comments: 20 Pages. Cite:

Abstract - "When we solve (19th-century Scottish physicist James Clerk) Maxwell's equations for light, we find not one but two solutions: a 'retarded' wave, which represents the standard motion of light from one point to another; but also an 'advanced' wave, where the light beam goes backward in time. Engineers have simply dismissed the advanced wave as a mathematical curiosity since the retarded waves so accurately predicted the behavior of radio, microwaves, TV, radar, and X-rays. But for physicists, the advanced wave has been a nagging problem for the past century." ("Physics of the Impossible" by Michio Kaku - Penguin Books, 2009: pp. 276-277) Advanced waves are usually discarded because they are thought to violate the causality principle: advanced waves could be detected before their emission. On one level, I can appreciate that reasoning. But ultimately, I think it's an error that should be replaced by Isaac Newton's idea of gravity and the modern idea of quantum mechanics' entanglement. After writing a paragraph about entanglement and Newtonian gravity, several paragraphs are devoted to the motion of electromagnetism and gravitation, plus absorption and re-radiation. These are followed by (1) advanced waves and the dating of, among other things, dinosaur fossils, (2) existing technology that, unknown to everyone, detects the presence of advanced waves, (3) advanced waves plus disease and ageing, (4) partially overcoming ageing with technology based on noise-cancelling headphones, and (5) the role of Wick rotation and advanced waves in entanglement and evolution. Just as advanced waves are usually discarded, very few physicists or mathematicians will venture to ascribe a physical meaning to imaginary numbers, which seem to have no correspondence with external reality. Here, it will be shown that imaginary time (which is described by such numbers) has two physical meanings - (1) it provides a way to unify space and time into one space-time, (2) it will allow construction of what may be called "imaginary computers". Keywords Wheeler-Feynman absorber theory; Transactional Interpretation of Quantum Mechanics; retarded waves; advanced waves; electromagnetism; gravitation; radioactive dating; noise-cancelling headphones; better health; longer life; nature of space and time; increasing Astronomical Unit; Pioneer anomaly; entanglement; evolution; imaginary computers; SUSY; supersymmetry Table of Contents ADVANCED WAVES AND DINOSAURS CIRCLES, SPHERES, EVOLUTION AND DINOSAURS WICK ROTATION, BITS, COSMIC TOPOLOGY WICK ROTATION, SPACE-TIME AND SUSY WICK ROTATION AND IMAGINARY COMPUTERS
Category: Mathematical Physics

[8] viXra:1804.0222 [pdf] replaced on 2018-12-22 07:57:05

On Schrödinger Equations Equivalent to Constant Coefficient Equations

Authors: J. Akande, D. K. K. Adjaï, M. D. Monsia
Comments: 6pages

This paper shows that the solution of some classes of Schrödinger equations may be performed in terms of the solution of equations of constant coefficients. In this context, it has been possible to generate new exactly solvable potentials and to show that the Schrödinger equation for some well known potentials may also be solved in terms of elementary functions.
Category: Mathematical Physics

[7] viXra:1804.0202 [pdf] submitted on 2018-04-15 06:29:29

A Quantum Physics Jeopardy Problem of a One-Bound-State Double Dirac Delta Potential with a Centrifugal, Angular-Momentum-Like Tail

Authors: Spiros Konstantogiannis
Comments: 19 Pages.

Starting from a simple, one-parameter, symmetric wave function, we derive an attractive double Dirac delta potential with a centrifugal, angular-momentum-like tale, which has only one bound state, the energy of which can be set to zero.
Category: Mathematical Physics

[6] viXra:1804.0160 [pdf] replaced on 2018-04-13 06:30:08

Differential Forms for Physics Students

Authors: William O. Straub
Comments: 13 Pages. One typo fixed

An introduction to the calculus of differential forms for undergraduate physics students
Category: Mathematical Physics

[5] viXra:1804.0159 [pdf] submitted on 2018-04-11 16:36:41

The Planck-Energy is not Fundamental in a Rotating Holographic Universe.

Authors: Dan Visser
Comments: 7 Pages.

This article discards the constant Planck-energy. This will be in service of a rotating vacuum-torus as a new building-stone in a variable vacuum for the benefit of a rotating hologram-universe. The new building-stone hosts all the sub-information for the quantum-information for each emerging not-fundamental Big Bang-universe. This leads to the presentation of a new formula for dimensional variable dark energy. Also a handwritten image shows the author’s velocity-tensor of rotating vacuum, which is combined with an energy of dark force emerged from a dark vacuum particle. He uses his tensor to explain the name of his theory, the Double Torus Theory (DTT) .
Category: Mathematical Physics

[4] viXra:1804.0105 [pdf] replaced on 2018-04-21 22:46:12

Uniform Unified System of Dimensions Physical Quantities

Authors: Mikhail L. Sokolnikov
Comments: 2 Pages.

Logical continuation of the work of the Soviet aircraft designer, the Italian Earl of Croatian origin Roberto Oros di Bartini. Логическое продолжение работы советского авиаконструктора, итальянского графа хорватского происхождения Roberto Oros di Bartini. Time = x^4
Category: Mathematical Physics

[3] viXra:1804.0097 [pdf] submitted on 2018-04-08 12:12:33

The Energy of the Wave Vortices (Loks) J=3.

Authors: Alexander I.Dubinyansky, Pavel Churlyaev.
Comments: 10 Pages.

Development of the mathematical model of the elastic universe. The energy of the loks (3.0), (3.1), (3.2), and (3.3) is calculated. Assumptions are made regarding other loks. The first conclusions on the identification of elementary particles in a set of loks.
Category: Mathematical Physics

[2] viXra:1804.0068 [pdf] replaced on 2019-01-05 05:18:15

An Algebraic Invariant of Gravity

Authors: Hans Detlef Hüttenbach
Comments: 8 Pages. Completely rewritten, enhanced version. - Had to replace, since change does not correct a misspelling..

Newton's mechanics is simple. His equivalence principle is simple, as is the inverse square law of gravitational force. A simple theory should have simple solutions to simple models. A system of n particles, given their initial speed and positions along with their masses, is such a simple model. Yet, solving for n>2 is not simple. This paper discusses, why that is a difficult problem and what could be done to get around that problem.
Category: Mathematical Physics

[1] viXra:1804.0003 [pdf] replaced on 2018-07-07 13:00:04

The Quaternionic Seiberg-Witten Equations

Authors: Antoine Balan
Comments: 6 pages, written in french

Introducing some algebra of the Hamilton numbers, we define some geometry of the quaternions, allowing us to define the quaternion Seiberg-Witten equations.
Category: Mathematical Physics