Mathematical Physics

2107 Submissions

[10] viXra:2107.0177 [pdf] submitted on 2021-07-31 11:05:38

An Equation Relating Planck Length, Planck's Constant and the Golden Ratio

Authors: Ankur S Bhatt, F.M. Becker
Comments: 2 Pages. Just realized I placed my author name without my middle initial before. so would like it to be listed with my other papers. Thank you

Planck's constant, Planck length and the golden ratio can all be written as a simple equation. It is not yet clear if this is simply a mathematical coincidence or rather something with a deeper fundamental meaning. A few ideas will be suggested that might be physical in nature.
Category: Mathematical Physics

[9] viXra:2107.0158 [pdf] submitted on 2021-07-27 14:19:39

Experimental Supersymmetry: Processing the Dimensional Barrier

Authors: Richard L Amoroso
Comments: 54 Pages. Preprint: Prespacetime Journal (PSTJ) July 2021

A radical, albeit pragmatic protocol for experimental access to putative String/M-theoretic, Einstein Unified Field Mechanical (UFM) additional dimensionality (XD) of the brane-bouquet bulk is presented. If successful, results demonstrate the existence dimensionality beyond the metric of observed physical reality provided by the Standard Model (SM) of particle physics and Cosmology. Quantum Mechanics (QM), as well-known is incomplete and further, should not be considered the basement of reality; meaning, Locality and Unitarity – the fundaments of quantum theory are an insufficient basis for extending the representation of reality. A seminal model of Tight Bound States (TBS) below the lowest Bohr orbit in hydrogen, proposed by Vigier, is extended to a Kaluza-Klein-like (KK) cyclical tier of XD hyperspherical cavities defined within a finite radius manifold of uncertainty (MOU) up to a semi-quantum limit, predicting, in its domain, additional spectral lines in Hydrogen. The proposed protocol for this process, with phase modifications, provides efficacy of large-scale additional dimensions (LSXD) of the brane bulk; XD-LSXD incursion duality accesses nonlocal Einsteinian UFM phenomena, leading to myriad new classes of technological innovation beyond the SM.
Category: Mathematical Physics

[8] viXra:2107.0146 [pdf] replaced on 2021-10-30 04:14:38

An Axiom of Time Resolving Entropy, CP Violation, and the Isotropic CMBR

Authors: Stephen H. Jarvis
Comments: 34 Pages.

Presented here is an axiom for time underwriting a time-equation hatching a temporal wave function for space and associated atomic locale temporal descriptors, together with forming the basis of entropy as time’s arrow, as per a formalism of logic called Temporal Mechanics, delivering a more precise account of time as a new mathematical temporal wave function and associated calculus (presented here as temporal calculus), removing the need for probabilistic wave function mathematics (Schrödinger) and associated spatial mathematical transformation formalisms (Lorentz), delivering a temporal wave function that translates as an EM signature, able to derive all the key energy equations and constants. Through this process, it can then be shown that the time-equation is able to underwrite the process of entropy for time’s arrow, while also delivering an explanation for CP violations and the isotropic CMBR.
Category: Mathematical Physics

[7] viXra:2107.0141 [pdf] submitted on 2021-07-23 04:23:34

Some Results of Derivatives of Reimann Xi Function from Analytical Expression of Riemann Xi Function ξ(s)

Authors: Debasis Biswas
Comments: 2 Pages.

In this paper some properties of integer order derivatives of Riemann Xi functions directly derived from expression of Riemann Xi function ξ(s)]
Category: Mathematical Physics

[6] viXra:2107.0140 [pdf] submitted on 2021-07-23 19:02:03

Mother Nature and the 32 Crystal Classes

Authors: Giuliano Bettini
Comments: 45 Pages. [Corrections are made by viXra Admin to comply with the rules of viXra.org]

Starting from the 32 crystal classes, we find a complete classification scheme of the same with 5 bits. That's not simply reorganization, that's philosophy. The Nature follows a repetitive sequence. The repetitive sequence I consider is the whole 3-bit sequence 000, 00c, 0m0, 0mc, 200, 20c, 2m0, 2mc. The protagonist of this novel, Mother Nature, is so satisfied with this sequence, or with this physical behavior, that she repeats it 4 times. She does it with an additional 4 axis. Then she does it again with axis 3. And finally with a combination of axes 2 and 3, parallel or askew. I write everything as a novel, and try to replace the entire sequence of Hermann Mauguin and Schoenflies symbols too, with ad hoc symbols. Mathematical proofs are inside.
Category: Mathematical Physics

[5] viXra:2107.0086 [pdf] replaced on 2021-10-30 04:11:03

Quantum Gravity, and the Calculation of Maximum Sol Mass

Authors: Stephen H. Jarvis
Comments: 33 Pages.

Here Temporal Mechanics shall derive the mass of the electron using the same system of logic that derived the mass of the neutrino in paper 35 (Temporal mechanics (E): Time-Space Logistics) to then derive new equations for gravity via a process of equating time to space, and thus in theory, providing a theory for quantum gravity. There, an equation for gravity will be proposed that calculates the minimum and maximum limits of mass for a gravitational field, thence deriving the maximum mass of a sun from the mass of the neutrino, subsequently presenting a key insight to cosmology theory. From here, an equation proposing the maximum and minimum limits of space shall be derived in supporting the proposed time-equation and the temporal event of time not passing at the speed of light c, successfully deriving the Planck length, putting into question the current one-dimensional mathematical formalisms for time.
Category: Mathematical Physics

[4] viXra:2107.0070 [pdf] submitted on 2021-07-11 22:52:59

Aerodynamic Shape Optimization Study of Diffuser in Turbulent Flow

Authors: Shlomy Shitrit
Comments: 15 Pages.

Diffusers are the integral parts of many engineering applications and flow systems. An improperly designed diffuser may cause flow separation and low efficiency. The following study presents an approach of a single-point aerodynamic shape optimization of diffusers in turbulent flow. The objective in this study is to maximize the pressure recovery by shaping the diffuser's geometry, taking into account geometrical and aerodynamic constraints. Mesh warping and geometry parametrization is accomplished by fitting the multi-block structured grid to a B-spline volumes and performing the mesh movements by using surface control points embedded with free-form deformation (FFD) volumes. The aerodynamic model solves the RANS equations with SpallartAlmaras turbulence model. A gradient based optimization algorithm is used with an adjoint method in order to compute the objectives and constraints derivatives with respect to the design variables. The single-point optimization simulation increased the pressure recovery coefficient by 12% using 46 design variables. The effect of varying the number of shape design variables is examined. Also, nearly identical configuration is obtained while starting the simulation with a deformed geometry, and the final optimized pressure recovery values differ by 0.8% only. The accuracy and scalability of the presented method make it possible perform shape design optimization for diffusers characterized with complicated geometries under various flow conditions.
Category: Mathematical Physics

[3] viXra:2107.0056 [pdf] submitted on 2021-07-10 18:55:03

An Approach of an Information-Measure for Attractors from Multi.Reduction-Copy-Machines

Authors: Udo E. Steinemann
Comments: 16 Pages.

C. E. SHANNON - with his theory of communication - was the first one who developed a concept for capturing information quantitatively. He found a measure for a kind of information relevant when rarity of events is decisive. His approach aimed on character-sequences of equal lengths and composed of elements from a symbol-set. Each symbol possesses its individual meaning and may appear differently often in a selected sequence. In such an environment it’s possible to specify a probability of any symbol found in an arbitrary sequence. In the following a similar attempt is made in order to find an information-measure for attractors decoded or encoded by Multi-Reduction-Copy-Machines (MRCMs). But in contrast to SHANNON’s theory where the approach is based on statistical considerations, the new measuring-method is guided by considering complexity of structures.
Category: Mathematical Physics

[2] viXra:2107.0025 [pdf] submitted on 2021-07-04 22:48:24

Experimental and Numerical Study of Cavitation in Headform Configurations

Authors: Aviad Gofer, Shlomy Shitrit
Comments: 17 Pages.

A novel facility was constructed for investigating the motion of high-speed underwater bodies. The testing facility consists of a pneumatic piston capable of accelerating a specially designed underwater body to speeds as high as 30 m/s, hence achieving the cavitation range. The body maintains an approximately constant velocity for a few tens of milliseconds. Preliminary experimental work was performed to evaluate the performance of the novel testing equipment, using a high-speed camera to analyze different geometries at different velocities. Results showed good agreement in terms of cavitation bubble size when compared with numerical calculations using CFD.
Category: Mathematical Physics

[1] viXra:2107.0023 [pdf] submitted on 2021-07-04 22:51:07

Real Schur Flows

Authors: Jian-Zhou Zhu
Comments: 37 Pages.

The problem of a flow with its velocity gradient being of \textit{real Schur form} uniformly in a cyclic box is formulated for numerical simulation, and a semi-analytic algorithm is developed from the precise structures. Computations starting from two-component-two-dimensional-coupled-with-one-component-three-dimensional initial velocity fields of the Taylor-Green and Arnold-Beltrami-Childress fashions are carried out, and some discussions related to turbulence are offered for the multi-scale eddies which, though, present precise order and symmetry. Plenty of color pictures of patterns of these completely new flows are presented for general and specific conceptions.
Category: Mathematical Physics