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| viXra.org > Mathematical Physics > 2512 |
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[8] viXra:2512.0135 [pdf] submitted on 2025-12-28 21:02:19
Authors: Branko Zivlak
Comments: 4 Pages. 2 figures
The paper presents two complementary formulas for the Planck mass and the Planck length, which yield higher accuracy than the values reported in the CODATA reports.
Category: Mathematical Physics
[7] viXra:2512.0127 [pdf] submitted on 2025-12-27 01:16:37
Authors: Stephen Ryan Moorehead-McDaniel
Comments: 24 Pages. 2 figures (Note by viXra Admin: Please cite listed scientific references, list scientific references in a complete manner, and submit article written with AI assistance to ai.viXra.org)
Since the original formulation of the Navier-Stokes equations in 1822, the inability to prove global regularity has been fundamentally rooted in a physical misconception: the assumption that the fluid continuum is isotropic at the dissipation scale. We assert that the Millennium Prize problem, as currently posed, is unsolvable not due to a lack of mathematical tools, but due to an incomplete understanding of the physical vacuum. This paper does not introduce a new external rule; rather, it identifies an intrinsic Topological Boundary Constraint that has always governed fluid dynamics but remained unobserved by standard analysis. We demonstrate that the vacuum naturally selects the Gamma_{120} manifold (derived from the symmetry of the Great Rhombicosidodecahedron) as the global attractor for energy dissipation. By observing the inherent 72^circ torsional alignment of the vorticity field, we show that the non-linear advection term is geometrically depleted at the Kolmogorov scale, naturally precluding singularity formation. Finally, we show that the standard isotropic model violates the Second Law of Thermodynamics via spectral aliasing, a violation that nature corrects through this pre-existing geometric governor. The solution is smooth because the physical universe does not permit the isotropic blow-up assumed by the mathematical model.
Category: Mathematical Physics
[6] viXra:2512.0118 [pdf] submitted on 2025-12-24 10:43:03
Authors: Thierry L. A. Periat
Comments: 59 Pages.
Why are there three generations (leptons and quarks)? Are they related to one another? If yes, how? This document is a pioneer work shedding a renewed light on a topic that is currently an open questioning under investigation. It proposes an alternative way of expressing the invariance of the speed of light, which is based on the study of the deformations of the Poynting’s vector. This method allows the introduction of trios of deforming matrices which are obliged to respect a very specific constraint. The work examines how to make this constraint compatible with the existence of ratios connecting the masses of three particles according to a formula proposed by Y. Koide.
Category: Mathematical Physics
[5] viXra:2512.0086 [pdf] submitted on 2025-12-18 15:08:18
Authors: Richard Shurtleff
Comments: 36 pages including a 24 page Fortran program
The Fortran 90 program included in this article calculates eight matrices that form a basis of the sl(3,C) Lie algebra in an irreducible representation of the user's choice. A quick linear transformation yields a basis for the su(3) Lie algebra. The program checks that the generators satisfy the necessary commutation relations and saves the matrix generators to data files.
Category: Mathematical Physics
[4] viXra:2512.0084 [pdf] submitted on 2025-12-18 21:58:56
Authors: Pedro A. Kubitschek Homem de Carvalho
Comments: 20 Pages. (Note by viXra Admin: For the last time, please submit article written with AI assistance to ai.viXra.org!)
The classical three—body problem is traditionally formulated as the predictionof complete spatial trajectories of three interacting masses under gravitation, a taskknown to be generally non—integrable and chaotic. In this work, we adopt a complementary perspective focused on the Sun—Earth—Moon system, where the most stable and observable features arise not from translational motion but from rotational recurrence and angular phase closure. We introduce an angular—toroidal phase formalism in which the three bodies are represented by periodic phase variables associated with Earth rotation, Earth orbital motion, and lunar orbital motion. These phasesnaturally define a three—torus T 3, within which the system evolves as a helical flow.
Category: Mathematical Physics
[3] viXra:2512.0056 [pdf] submitted on 2025-12-11 19:13:31
Authors: Richard Shurtleff
Comments: 43 pages, computer program in an interpretive proprietary language
This notebook presents formulas for matrices that form the bases of the generators of the irreducible representations of the Lie algebras sl(3,C) and su(3). The matrix generators are shown to satisfy the commutation relations of the algebras. For an irrep of the reader's choosing, the notebook calculates the bases of both algebras, sl(3,C) and su(3). The numerical matrices are saved in files in the folder with this notebook.
Category: Mathematical Physics
[2] viXra:2512.0053 [pdf] submitted on 2025-12-11 01:10:47
Authors: Leonardo Rubino
Comments: 186 Pages. In Italian and English
A collection of cases where a physicist is found into another physicist.
Category: Mathematical Physics
[1] viXra:2512.0019 [pdf] submitted on 2025-12-05 01:56:11
Authors: Kim GinHak
Comments: 12 Pages. (Note by viXra Admin: Please cite and list scientific references)
Maxwell's equations can be derived from the vector potential using only multivector calculations and duality in 4-dimension. Furthermore, by changing the dimension of the vector potential, three additional Maxwell's equations with different dimensions are derived. These four Maxwell's equations give us hints about charge, spin, quarks, and mass. The divergence of the electromagnetic field energy density expressed in multivectors is the electromagnetic force and Joule heat. In the same way, three more forces are also derived from three additional Maxwell's equations. One is gravity, another explains weak forces well, and the last one seems to be strong force. By defining the dot product of multivectors, the dual multivector, the curl, and the divergence of multivector fields are clearly defined. By defining the norm of a multivectors, the multiplication table of 16 multibases in 4-dimension is obtained. Multivectors are numbers that include direction and dimension, and an optimal language for physical quantities.
Category: Mathematical Physics
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