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| viXra.org > Mathematical Physics > 2312 |
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[6] viXra:2312.0107 [pdf] submitted on 2023-12-21 01:38:48
Authors: Temur Z. Kalanov
Comments: 12 Pages. (Correction made by viXra Admin to conform with scholarly norm)
A detailed proof of the incorrectness of the classical wave equation is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The proof leads to the following irrefutable statement: the classical wave equation and the derivation of the classical wave equation are a gross error in mathematics and physics. The proof of this statement is based on the following irrefutable main results: (1) The first gross error is the following approximate relationship: "sine of angle is approximately equal to tangent of angle; cosine of angle is approximately equal to 1". This relationship means (implies) that the quantity of the angle and the right-angled triangle do not exist. Consequently, the relationship between the tangent of the angle and the derivative of the displacement with respect to coordinate does not exist; (2) The second gross error is that the second-order derivative of the displacement with respect to coordinate does not exist, because the dimensions of displacement and coordinate are "meter", the first-order derivative of the displacement with respect to coordinate is dimensionless quantity (i.e. the first-order derivative of the displacement respect to coordinate has no the dimension "meter"); (3) The third gross error is that the first-order derivative of the displacement with respect to coordinate cannot be expanded into the Taylor series, because the second-order derivative of the displacement with respect to coordinate does not exist;(4) The fourth gross error is as follows: (a) the left side of the wave equation contains the condition that time is a variable quantity, and the coordinate is a constant quantity; (b) the right side of the wave equation contains the condition that time is a constant, and the coordinate is a variable. This means (implies) that the equation contains contradictory conditions (propositions). Therefore, the equation represents a violation of the formal-logical law of the lack (absence) of contradiction; (5) The fifth gross error is that the standard derivation of the equation relies on the following false theories: negative number theory, complex numbers theory, trigonometry, vector calculus, differential calculus, and Newton's second law.Thus, the classical wave equation does not satisfy the criterion of truth and is not a scientific achievement.
Category: Mathematical Physics
[5] viXra:2312.0100 [pdf] replaced on 2024-03-10 20:24:36
Authors: Moshe Szweizer, Rivka Schlagbaum
Comments: 20 Pages.
Probability, as manifested through entropy, is presented in this study as one of the most fundamental components of physical reality. It is demonstrated that the quantization of probability allows for the introduction of the mass phenomenon. In simple terms, gaps in probability impose resistance to change in movement, which observers experience as inertial mass. The model presented in the paper builds on two probability fields that are allowed to interact. The resultant probability distribution is quantized, producing discrete probability levels. Finally, a formula is developed that correlates the gaps in probability levels with physical mass. The model allows for the estimation of quark masses. The masses of the proton and neutron are arrived at with an error of 0.02%. The masses of sigma baryons are calculated with an error between 0.007% and 0.2%. The W-boson mass is calculated with an error of 1.3%. The model explains why proton is stable while other baryons are not.
Category: Mathematical Physics
[4] viXra:2312.0080 [pdf] submitted on 2023-12-15 01:29:34
Authors: Jong In Jae, Jong U. Hwan, Ra Ju Gwang
Comments: 37 Pages.
In this paper, we performed comprehensive systemization of weak KAM theory, the ultramodern theory in mathematics domain that is being regarded as important in theoretical and application aspect and is being studied actively in the world in present. Moreover we also systemized comprehensively the conjectures, the open problems, and the point at issue that are proposed in weak KAM theory. They contain 17 of the points at the issue that are newly proposed in this paper.
Category: Mathematical Physics
[3] viXra:2312.0056 [pdf] submitted on 2023-12-10 09:31:16
Authors: Ryan J. Buchanan, Parker Emmerson
Comments: 7 Pages.
This paper is a continuation of [2]. Here, we discuss twisted branes, the free loop superspace, and, in particular, a deformation of the modal lightcone which allows us to model cobordisms of generically small, portable, locally closed systems.
Category: Mathematical Physics
[2] viXra:2312.0050 [pdf] replaced on 2024-11-09 02:34:33
Authors: Soo Sun Ha
Comments: 55 Pages.
We prove Payne's nodal line conjecture for any bounded simply connected, possibly non-convex, smooth boundary domain $Omega$ in Plane: Payne conjectured that any Dirichlet second eigenfunction of laplacian in any simply connected boundary domain in Plane can not have a closed nodal line.
Category: Mathematical Physics
[1] viXra:2312.0046 [pdf] submitted on 2023-12-09 22:27:06
Authors: Ryan J. Buchanan, Parker Emmerson
Comments: 7 Pages.
In this paper, ER bridges are discussed as bordisms. We treat these bordisms as fibers, whose sections are holographically entangled to copies of $S^1$. Diffemorphisms of these fibers are discussed, as well as the implication of replacing $S^1$ with the supercircle, and the replacing its underlying algebra with a Lie superalgebra.
Category: Mathematical Physics
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