Mathematical Physics

2303 Submissions

[3] viXra:2303.0159 [pdf] submitted on 2023-03-28 16:52:50

Hamiltonian Chaos and the Fractal Topology of Spacetime (Part 1)

Authors: Ervin Goldfain
Comments: 15 Pages.

Fractals and multifractals are self-similar structures endowed with continuous dimensions. This tutorial traces the origins of fractal spacetime to the universal features of Hamiltonian chaos, conjectured to develop far above the Fermi scale. A representative signature of Hamiltonian chaos is the fragmentation of phase-space into islands of stability embedded within ergodic layers. Fractal topology of Hamiltonian chaos may account for the multiply connected structure of the large-scale Universe, hinted by recent cosmological data. These observations raise the possibility that gravitational physics and Quantum Field Theory emerge from the chaotic regime of the early Universe.
Category: Mathematical Physics

[2] viXra:2303.0146 [pdf] submitted on 2023-03-25 02:17:58

Lorentz Covariance of the Octonion Covariant Derivative

Authors: Richard D. Lockyer
Comments: 12 Pages.

The Octonion covariant derivative form applied to an inertial frame of reference velocity transformation requires Lorentz covariance if the two components in rotational and irrotational field types are to maintain proper relative sign and equivalent scale post transformation. Similar to the other Octonion fields different from the magnetic and electric fields, the expected hyperbolic rotation of electric field into the magnetic field and magnetic field into electric field are produced by application of the covariant derivative on Octonion potential function algebraic elements. Also presented are 8-current, 8-work-force and Octonion Poynting vector covariant forms for inertial frame of reference velocity transformations.
Category: Mathematical Physics

[1] viXra:2303.0012 [pdf] submitted on 2023-03-01 08:42:04

Michelson-Morley Experiment Why!

Authors: Quang Nguyen Van
Comments: 3 Pages.

Michelson - Morley experiment is the Most famous "failed" experiment. Why the experimental results is negative?
Category: Mathematical Physics