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| viXra.org > Mathematical Physics > 2501 |
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[9] viXra:2501.0177 [pdf] submitted on 2025-01-31 21:37:50
Authors: Luis Rodolfo Cabrera Juárez
Comments: 10 Pages.
The equations of Relativistic Mechanics and Wave Mechanics are used to describe the dynamics of a particle in the Helical Solenoid Model, showing that the increase in relativistic inertial mass is apparent, and is equivalent to the increase in rotational energy.
Category: Mathematical Physics
[8] viXra:2501.0160 [pdf] replaced on 2025-02-13 21:36:08
Authors: Taha Sochi
Comments: 24 Pages. This is an extended version
In this paper we continue our previous investigation about the use of stress function in the flow of generalized Newtonian fluids through conduits of circular and non-circular (or/and multiply connected) cross sections where we inspect the flow of Ree-Eyring fluids in tubes of elliptical cross sections. We derive analytical expressions for the flow velocity profile and for the volumetric flow rate. The obtained analytical expressions were tested against the available analytical expressions for the special cases of Newtonian flow in circular tubes, Newtonian flow in elliptical tubes and Ree-Eyring flow in circular tubes and the results were identical. The obtained analytical expressions were also tested for sensible trends, tendencies and correlations and they passed all these tests.
Category: Mathematical Physics
[7] viXra:2501.0155 [pdf] replaced on 2025-02-02 21:31:35
Authors: Ervin Goldfain
Comments: 5 Pages.
This brief report is a bird's-eye view of the paths leading to the concepts of evolving fractalspacetime and continuous dimensionality, far beyond the range of Effective Field Theory.
Category: Mathematical Physics
[6] viXra:2501.0139 [pdf] replaced on 2025-02-13 21:33:17
Authors: Taha Sochi
Comments: 25 Pages. This is an extended version
In this paper we continue our previous investigation about the use of stress function in the flow of generalized Newtonian fluids through conduits of circular and non-circular (or/and multiply connected) cross sections where we inspect the flow of Ellis fluids in tubes of elliptical cross sections. We derive analytical expressions for the flow velocity profile and for the volumetric flow rate. The obtained analytical expressions were tested against the available analytical expressions for the special cases of Newtonian flow in circular tubes, Newtonian flow in elliptical tubes and Ellis flow in circular tubes and the results were identical. The obtained analytical expressions were also tested for sensible trends, tendencies and correlations and they passed all these tests.
Category: Mathematical Physics
[5] viXra:2501.0126 [pdf] replaced on 2025-02-13 21:30:08
Authors: Taha Sochi
Comments: 27 Pages. This is an extended version
In this paper we continue our previous investigation about the use of stress function in the flow of generalized Newtonian fluids through conduits of circular and non-circular (or/and multiply connected) cross sections where we inspect the flow of power law fluids in tubes of elliptical cross sections. We derive analytical expressions for the flow velocity profile and for the volumetric flow rate. We also develop numerical algorithms for computing the velocity profile and the volumetric flow rate for this flow where these algorithms produce virtually identical results to the results obtained from the aforementioned analytical expressions. The obtained analytical expressions were tested against the available analytical expressions for the special cases of Newtonian flow in circular tubes, Newtonian flow in elliptical tubes and power law flow in circular tubes and the results were identical. The obtained analytical expressions were also tested for sensible trends, tendencies and correlations and they passed all these tests.
Category: Mathematical Physics
[4] viXra:2501.0125 [pdf] submitted on 2025-01-23 13:52:10
Authors: Ervin Goldfain
Comments: 16 Pages.
As paradigm of complex behavior, multifractals describe the underlying geometry of self-similar objects or processes. Building on the connection between Rényi entropy and multifractals, we speculate here that the generalized dimension of geodesic trajectories in General Relativity reproduces the four-dimensionality of classical spacetime.
Category: Mathematical Physics
[3] viXra:2501.0101 [pdf] submitted on 2025-01-18 14:00:39
Authors: Ervin Goldfain
Comments: 11 Pages.
Complex Ginzburg-Landau equation (CGLE) is a paradigm for the onset of chaos and turbulence in nonlinear dynamics of extended systems. Here we point out that the underlying connection between CGLE and the Navier-Stokes (NS) equation bridges the divide between fluid flows, on the one hand, and the mathematics of General Relativity (GR) and classical gauge theory, on the other. The analogy hints to a possible link between the transition from laminar to turbulent flows and the mass generation mechanism of quantum field theory (QFT).
Category: Mathematical Physics
[2] viXra:2501.0068 [pdf] submitted on 2025-01-11 22:40:02
Authors: Luke Kenneth Casson Leighton
Comments: 1 Page. (Note by viXra Admin: Author name should be between article title and the asbstract and any remarks above the title should be moved into a footnote in small print))
Exploration of the de Vries formula[1] and its accuracy[2] (following removal of SI2019 assumptions) to latest experimental uncertainty[3] has led to a hypothesis that the formula is a transcendental solution of an infinite-summed (non-frictional) circular traveling and standing wave: a solution of harmonic sympathetic resonance.
Category: Mathematical Physics
[1] viXra:2501.0016 [pdf] submitted on 2025-01-05 17:18:54
Authors: Tariq Khan
Comments: 4 Pages.
A short informal essay proposing that the Holographic Principle may offer a possible alternative solution to the Black Hole Information Paradox proposed by physicist Stephen Hawking. The actual concept of falling is re-examined. Objects that fall into a black hole have their information randomized. This information exists on a holographic boundary where it is randomized, but not lost or destroyed. That information on the holographic boundary in bits is equivalent, in our universe outside of the black hole’s event horizon, to information measured in bits of the total change in distance to the black hole of all entities due to the change (increase or decrease) in black hole mass, after an object falls into it or it evaporates, supporting the theory of a universe that is foundationally a "network of relations." The total change to our universe as a superstructure relational network, as measured in bits of information, is equivalent to the total bits of information needed to describe an object as it disappears behind a black hole event horizon.
Category: Mathematical Physics
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