| viXra.org > Mathematical Physics > 2411 |
 |
 |
| viXra.org > Mathematical Physics > 2411 |
|
|
[7] viXra:2411.0173 [pdf] replaced on 2024-12-08 03:19:32
Authors: Ervin Goldfain
Comments: 16 Pages.
Complex Ginzburg-Landau equation (CGLE) is a paradigm of complex dynamics that holds for all spatially extended systems near the onset of oscillatory behavior. CGLE applies to a vast array of phenomena ranging from superconductivity and superfluidity, to Bose-Einstein condensation, astrophysics, nonlinear optics and spatiotemporal chaos. In particular, CGLE describes the formation of dissipative spacetime structures in Reaction-Diffusion (RD) processes. Here we bridge the gap between CGLE and the RD model of evolving dimensional fluctuations, the latter being conjectured to arise far above the electroweak scale. Our findings open an intriguing path connecting complex dynamics of dimensional fluctuations to Quantum Physics.
Category: Mathematical Physics
[6] viXra:2411.0159 [pdf] submitted on 2024-11-27 02:42:46
Authors: Felix M. Lev
Comments: 19 Pages.
As shown in our publications, quantum theory based on a finite ring of characteristic $p$ (FQT) is more general than standard quantum theory (SQT) because the latter is a degenerate case of the former in the formal limit $ptoinfty$. One of the main differences between SQT and FQT is the following. In SQT, elementary objects are described by irreducible representations (IRs) of a symmetry algebra in which energies are either only positive or only negative and there are no IRs where there are states with different signs of energy. In the first case, objects are called particles, and in the second - antiparticles. As a consequence, in SQT it is possible to introduce conserved quantum numbers (electric charge, baryon number, etc.) so that particles and antiparticles differ in the signs of these numbers. However, in FQT, all IRs necessarily contain states with both signs of energy. The symmetry in FQT is higher than the symmetry in SQT because one IR in FQT splits into two IRs in SQT with positive and negative energies at $ptoinfty$. Consequently, most fundamental quantum theory will not contain the concepts of particle-antiparticle and additive quantum numbers. These concepts are only good approximations at present since at this stage of the universe the value $p$ is very large but it was not so large at earlier stages. The above properties of IRs in SQT and FQT have been discussed in our publications with detailed technical proofs. The purpose of this paper is to consider models where these properties can be derived in a much simpler way.
Category: Mathematical Physics
[5] viXra:2411.0108 [pdf] submitted on 2024-11-15 18:54:31
Authors: Harjeet Singh
Comments: 11 Pages. (Correction made by viXra Admin to conform with schoarly norm - Please conform!)
This paper introduces new and foundational formulae governing the reflection of light, enhancing our understanding of optical behaviour through simplified mathematical expressions. By exploring the fundamental principles of reflection, the research proposes a set of equations that streamline the calculation of reflected angles and intensities in various optical systems. These formulae aim to offer a more accessible approach to optical reflection, providing both practical utility and theoretical insight for students, researchers, and professionals in the field of optics. The results derived from these new reflective formulae could lead to improved applications in optical devices, laser systems, and other technologies dependent on light reflection.
Category: Mathematical Physics
[4] viXra:2411.0074 [pdf] submitted on 2024-11-11 02:24:12
Authors: Carmen Wrede, Lino Casu
Comments: 24 Pages.
In this paper, we explore the interplay between the fundamental constants Pi and the golden ratio (ϕ) and their relationship to the maximal mass and spin of black holes. Our investigation begins by modeling a hypothetical clock with an initial radius of 1 in a gravitationally neutral environment. As gravitational forces increase, the radius of this clock expands, revealing an unexpected relationship between Pi, ϕ, and the segmented structure of spacetime. This connection allows us to propose a new framework that explains the observed bounds on black hole spin and mass. Our analysis demonstrates that as the spin parameter a approaches the speed of light, it represents a state of maximal rotation in black holes, marked by a unique equilibrium of mass, radius, and segment density. These insights not only provide a deeper understanding of black hole properties but also support the Cosmic Censorship Conjecture by illustrating how spacetime segmentation naturally prevents "naked" singularities. Overall, our findings underscore the importance of Pi and ϕ in the structure and behavior of black holes, offering a new perspective on the complex dynamics governing the universe.
Category: Mathematical Physics
[3] viXra:2411.0046 [pdf] submitted on 2024-11-08 04:30:56
Authors: Casey J Zak
Comments: 13 Pages. Grand Unified Theory with all standard model constants derived from one
Physical reality is here framed as the necessary geometric consequence of endowed energy release from a single zeroth-dimensional oscillator, which exists as the requisite conserving balance point for projection of the entire universe. The framework requires exactly one parameter - the initial oscillator energy - from which all physical constants, forces, and dimensional structure emerge through required quadratic self-reference and phase coherence preservation. All constants of the standard model are herein geometrically given. The fundamental nature of time is revealed as the oscillator's required principal orthogonal eigenvector. The necessary condition for the existence of reality is developed. Observed energy ratios are revealed as inherent. Feynman's infinities are resolved. Experimental predictions testable through phase-coherent optical interference patterns are given with precise energy ratios derivable from geometric constraints. Theory of mind is proposed as the minimum sufficient phase coherent structure required to form a self-representation of the oscillator. Remarkable analyses of coherent group consciousness are revealed. Reality itself, including conscious observation and intention, manifests as the inescapable geometric realization of the oscillator's self-referential structure.
Category: Mathematical Physics
[2] viXra:2411.0034 [pdf] submitted on 2024-11-04 23:35:53
Authors: Claude Michael Cassano
Comments: 5 Pages. (Note by viXra Admin: Please cite and list scientific references)
The eightfold way is an organizational scheme for a class of subatomic particles known as hadrons leading to the.development of the quark model. Murray Gell-Mann proposed the idea in 1961 alluding to the Noble Eightfold Path of Buddhism. However, the concept goes deeper; applying not only to hadrons (triplets of RGB quarks) but to the building blocks of all the fermions (as this analysis demonstrates: i.e.: e(h)-earth, v(h)-wind, u(h)-fire, d(h)-water.
Category: Mathematical Physics
[1] viXra:2411.0011 [pdf] replaced on 2024-11-07 23:45:23
Authors: Ervin Goldfain
Comments: 13 Pages.
As a long-cherished postulate of theoretical physics, Hamilton’s principle (HP) defines thebasis of classical mechanics and field theory. We argue here that HP is overturned inphysical settings where sensitivity to initial conditions cannot be ignored. We find thatthe approach to chaos of nearly integrable Hamiltonian systems sheds new light onseveral foundational aspects of effective field theory.
Category: Mathematical Physics
| Third-Party Links: |
|