Mathematical Physics

2301 Submissions

[7] viXra:2301.0135 [pdf] replaced on 2023-02-20 14:45:18

Spin-statistics Theorem from the Stuart-Landau Equation

Authors: Ervin Goldfain
Comments: 10 Pages.

Stuart-Landau (SL) equation describes the universal behavior of nonlinear oscillators near a Hopf bifurcation. Focusing on the ultraviolet sector of field theory, the goal of this brief report is to explore the relationship between the SL equation and the spin-statistics theorem of Quantum Field Theory (QFT).
Category: Mathematical Physics

[6] viXra:2301.0093 [pdf] submitted on 2023-01-18 12:16:19

Theorems on Power Signals in Electrical Circuits with Sinusoidal Voltage and Current Signals

Authors: Aloys J. Sipers, Joh. J. Sauren
Comments: 7 Pages.

In this paper four theorems are stated: the first one is on expressions for a power signal in which the definition of the associated power (��) is introduced. The second one is on the uniqueness of impedances underlying an electrical power signal. The third one is on some properties of the power signal with respect to the active power �� and the reactive power ��. The fourth one deals with the conservation of power in a cicuit. Numerical examples provided illustrate the scope of the theorems.
Category: Mathematical Physics

[5] viXra:2301.0084 [pdf] submitted on 2023-01-18 02:31:22

Constructive QFT: A Condensed Math Point of View II

Authors: Juno Ryu
Comments: 9 Pages.

In this series, we show a road map to prove the existence of φ^4 quantum field theory over 4-d spacetime. We suggest a new axiomatic approach on constructive quantum field theory via condensed mathematics. The goal is to extend this new approach to cover the mathematical viability of field theories of standard model and beyond.
Category: Mathematical Physics

[4] viXra:2301.0067 [pdf] submitted on 2023-01-12 11:54:31

Dark Matter and Dark Energy Found

Authors: Sven Gohlke
Comments: 3 Pages.

The Reality-Sucks theory can compute both, the dark matter and the dark energy, in the required range. The ratio between dark and ordinary matter is estimated between 83.0 % and 85.7 %. Dark matter and dark energy together constitute between 94.4 % and 95.8 % of the total mass-energy content. Similar results should be obtained using the Λ-CDM model.
Category: Mathematical Physics

[3] viXra:2301.0037 [pdf] submitted on 2023-01-06 02:24:16

Thermal and Particle Diffusion Waves Describe the Relative Mass of Free Standard Model Particles

Authors: Andreas Mandelis, J. Howard O. Slater
Comments: 30 Pages.

Thermal Diffusion Wave (Thermon) and Particle Diffusion Wave (PDW) equations, when combined in steady state, non-linear logistic equilibrium, describe a harmonic distribution of the 15 free Standard Model particles (SM) with known masses when interacting as a single ensemble. This gives a new hypothesis enabling the computation of the relative masses of free SM particles. The hypothesis is validated independently by experimentally-determined masses of SM particles and requires a continuous thermal energy supply. Concomitantly with particle mass determination, other aspects of the model describe, for example, the appearance of dynamics resembling gravitational and universe time properties.
Category: Mathematical Physics

[2] viXra:2301.0014 [pdf] replaced on 2023-05-17 20:53:24

The Zero-Dimensional Physical Theory (Vii): Charting Infinity Using the Riemann Zeta Function and Ramanujan Summation in Deriving Dimensional Number Paradigms

Authors: Stephen H. Jarvis
Comments: 36 Pages.

Proposed here is a zero-dimensional number theory for physical phenomena charting the concept of infinity in using the Riemann zeta function and Ramanujan summation. The key common dimensional basis here is zero-dimensional time as a moment, and zero-dimensional space as an infinitesimal point. Key to the number theory are derived dimensional number paradigms and associated equations from the proposed intertwining of zero-dimensional time and zero-dimensional space together underwriting known physical phenomenal equations. Examples of these numbers are the values for the golden ratio, Euler’s identity, π, and the numbers 10, 12, and -1/12. These derived number paradigms and equation relationships are thence demonstrated to derive known physical phenomena constants such as the fine structure constant, Planck’s constant, and gravitational constant, together with their associated known equations. By such, it is shown that the proposed zero-dimensional time and zero-dimensional space axioms and their derived dimensional number paradigms likely represent the core underlying code of physical reality.
Category: Mathematical Physics

[1] viXra:2301.0005 [pdf] submitted on 2023-01-01 00:28:40

Octonion Dynamics

Authors: Richard D. Lockyer
Comments: 36 Pages.

The relativistic 4D space-time cover of Electrodynamics gives a roadmap for the creation of a potential function-based field theory within the algebraic structure of Octonion Algebra. Understanding the true algebraic nature of axial and polar vector types tells us which six Octonion basis components cover the electric and magnetic field types. Increasing the total dimension count from space-time 4 to Octonion 8 provides additional degrees of freedom required to accommodate Gravitation within the same structure. The Octonion framework for mathematical physics is presented in an algebraic covariant fashion. The Octonion Algebra forms for the analogous Maxwell’s Equations, physical fields, forces, work, energy and momentum conservation are presented. The importance of structuring the Octonion forms in an algebraic orientation covariant fashion is abundantly clear in this presentation.
Category: Mathematical Physics