Mathematical Physics

2307 Submissions

[5] viXra:2307.0147 [pdf] submitted on 2023-07-27 13:48:57

On the Calculation of the Corner Frequency in Bode Plots

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

In this paper we prove that the relationship ωτ = 1 is a property of logarithmic scale of the horizontal axis in Bode plots. We illustrate the results of our derivations and mathematical conclusions by calculating the point of intersection of the horizontal and the oblique asymptote in a magnitudeplot and the point of symmetry in a phase plot.
Category: Mathematical Physics

[4] viXra:2307.0104 [pdf] submitted on 2023-07-20 12:28:12

Quaternionic Generalization of Telegraph Equations

Authors: Victor L. Mironov, Sergey V. Mironov
Comments: 13 Pages.

Using non-commutative space-time quaternion algebra, we represent the generalization of one-dimensional and three-dimensional telegraph equations, which are widely applied to consider the propagation of an electromagnetic signal in communication lines, as well as to describe particle diffusion and heat transfer. It is shown that the system of telegraph equations can be represented in compact form as a single quaternion equation taking into account the space-time properties of physical quantities. The distinctive features of the one-dimensional and three-dimensional telegraph equations are discussed.
Category: Mathematical Physics

[3] viXra:2307.0057 [pdf] submitted on 2023-07-11 12:59:36

Analytical Models of Plane Turbulent Wall-bounded Flows

Authors: Victor L. Mironov, Sergey V. Mironov
Comments: 21 Pages.

We present the theoretical description of plane turbulent wall-bounded flows based on the previously proposed equations for vortex fluid, which take into account both the longitudinal flow and the vortex tubes rotation. Using the simple model of eddy viscosity we obtain the analytical expressions for mean velocity profiles of steady-state turbulent flows. In particular we consider near-wall boundary layer flow as well as Couette, Poiseuille and combined Couette-Poiseuille flows. In all these cases the calculated velocity profiles are in good agreement with experimental data and results of direct numerical simulations.
Category: Mathematical Physics

[2] viXra:2307.0023 [pdf] replaced on 2023-09-26 15:53:23

Dimensional Regularization and Fractal Spacetime

Authors: Ervin Goldfain
Comments: 20 Pages.

This report expands on the preprint "Dimensional Regularization as Mass Generating Mechanism", posted at the following sites:https://doi.org/10.32388/DW6ZZS,https://www.researchgate.net/publication/370670747
Category: Mathematical Physics

[1] viXra:2307.0007 [pdf] replaced on 2024-01-30 22:33:37

No Singularities in Schwarzschild Black Hole and Big Bang

Authors: Yongrong Bao
Comments: 5 Pages. (Note by viXra Admin: Author name on the form and in the article in pdf must match!)

We prove no singularities in Schwarzschild black hole (SBH) and Big Bang considering the quantum effect. We find the equation of gravitational energy density inside SBH; derive that the gravitational energy density is proportional to the square effective temperature far from the event horizon in SBH interior, whether the gravitational fields of SBH are Coulomb-like or wave-like; obtain their entropic density is direct proportion with the effective temperature. Then we assume that the center of SBH and Big Bang being in the minimum entropy state, which value is equal to the Boltzmann constant; propose the SBH uncertainty relation (UR) and Big Bang UR by the generalized relational expression (GRE) and prove, which suggest no singularity in them.
Category: Mathematical Physics