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[19] viXra:2405.0172 [pdf] submitted on 2024-05-31 14:37:14
Authors: Thiago M. Nóbrega
Comments: 2 Pages.
In this paper, I explore the concept of the bootstrap event of existence. I argue that the notion of "nothing" is purely an abstraction and that something must always exist. At the inception of recursive existence lies the bootstrapping event, characterized by a zero-dimensional object that evolves by following the principle of least resistance. This process initiates the emergence of a one-dimensional object, and through continuous application of the least resistance principle, the complexity of existence evolves, leading to the current state of the universe.
Category: Mathematical Physics
[18] viXra:2405.0165 [pdf] submitted on 2024-05-31 03:20:35
Authors: Seth Genigma
Comments: 18 Pages.
Abstract: Before delving into the intricate concepts surrounding Solus Particula, it is crucial to recognize the speculative nature of this discourse. We are embarking on a journey through theoretical physics and cosmology, where we seek to unravel the mysteries of temporal dynamics within the cosmos. Key Concepts: Solus Particula: This term, translating to "A single Particle" in Latin, represents the fundamental essence from which the universe derives its existence. It is shrouded in mathematical paradoxes and gravitational forces, serving as the cornerstone of reality. Theoretical Framework: Our exploration focuses on the interplay between Solus Particula, energy, heat, and their impact on temporal perception. We introduce refined equations and concepts to shed light on these intricate dynamics. Implications and Speculations: We delve into the potential ramifications of energy and heat fluctuations, alongside Solus Particula, on temporal perception. This speculative inquiry offers intriguing insights into the nature of cosmic existence. Mathematical Proof: The proposition P/∞ = S introduces a captivating insight into fundamental particles, challenging traditional conceptions and offering a multifaceted perspective on cosmic existence. Sicut Inanis: This concept represents the antithesis of Solus Particula, embodying the idea of absolute nothingness. It invites contemplation on the nature of cosmic emptiness and its implications. This discourse aims to illuminate the profound significance of Solus Particula in shaping our understanding of temporal dynamics within the cosmos. While speculative in nature, it invites further inquiry into the mysteries of cosmic existence, guided by intellectual curiosity and rigor.
Category: Mathematical Physics
[17] viXra:2405.0141 [pdf] submitted on 2024-05-27 03:18:51
Authors: Alexander P. Klimets
Comments: 6 Pages.
The article constructs a visual model of a multidimensional space that displays the properties of intersections of multidimensional spaces. The model reveals some unusual aspects of multidimensional spaces.
Category: Mathematical Physics
[16] viXra:2405.0128 [pdf] replaced on 2024-07-02 21:12:37
Authors: Richard D. Lockyer
Comments: 11 Pages.
It was brought to my attention that in previous papers I put in the public domain (references [1] through [8]), I did a rather piecemeal presentation of the critical concepts of algebraic orientation, algebraic invariance and algebraic variance, as well as the generalization of Cayley-Dickson algebras I referred to as Cayley-Dickson without emphasizing the more general nature of the presentation, which was done for reader familiarity purposes. I will attempt to remedy this within this document starting at the beginning: the basic definition of an algebra, carried through to a full definition and discussion of the general family of hypercomplex algebras I call ℋ which subsumes all division algebras and traditional Cayley-Dickson doubled forms. Taking into account all structural and algebraic orientation options exposes beautiful structure revealed through group theoretical aspects of ℋ construction. The concepts presented are essential to Octonion Algebra mathematical physics.
Category: Mathematical Physics
[15] viXra:2405.0125 [pdf] submitted on 2024-05-23 22:19:05
Authors: Miftachul Hadi
Comments: 4 Pages.
We propose that there exists the topological object, a gravitational knot, in weak field of gravitation formulated using dual Ricci tensor in Chern-Simons theory. The Chern-Simons action is interpreted as such a knot.
Category: Mathematical Physics
[14] viXra:2405.0123 [pdf] submitted on 2024-05-23 22:11:55
Authors: Jiankun Lai
Comments: 2 Pages.
In the paper "A New Theory of the Double-Slit Experiment," we introduced a new theory for the double-slit experiment—Blockage Theory, which redefines the double-slit experiment. This article mainly discusses the calculation of the wavelength of diffracted waves in the Blockage Theory.
Category: Mathematical Physics
[13] viXra:2405.0113 [pdf] submitted on 2024-05-21 09:38:29
Authors: Juno Ryu
Comments: 10 Pages.
We overview the physical aspect of canvas theory and universal relativity.
Category: Mathematical Physics
[12] viXra:2405.0106 [pdf] submitted on 2024-05-20 20:41:02
Authors: Marko T. Manninen
Comments: 152 Pages.
The relationship between geometry and physics is one of the most fruitful and fascinating topics in the history of science. From ancient Mediterranean civilizations to the modern era, geometry has served as a source of insight for metaphysical contemplation and the discovery of natural phenomena. In this essay, I will explore some of the major developments in geometry and physics, with a special focus on the work of Dr. Matti Pitkänen, the founder of Topological Geometrodynamics (TGD). This novel theory employs mathematical concepts to unify quantum mechanics and general relativity with the Standard Model of particle physics. In the first section, I will review historical milestones in geometry and physics relevant to the key issues in TGD theory. These epochs have led us to relativity, quantum mechanics, the Standard Model, string models, and various unification attempts. I will also introduce the concept of topology, which is the study of continuous deformations. Topology plays a vital role in many areas of physics and mathematics, as well as in TGD. In the central section, I will present an interview with Dr. Pitkänen, in which he shares his personal and professional journey in developing TGD. He explains how he, a) was initially motivated by the global energy definition problem in general relativity, b) was influenced by John Wheeler's ideas on geometrodynamics, c) discovered a higher-dimensional embedding hyperspace suitable for unifying the Standard Model, quantum mechanics, and relativity, d) faced challenges in achieving path integrals for the required 4-D general coordinate invariance, e) incorporated twistors into his theory, f) introduced the notions of the World of Classical Worlds and Zero Energy Ontology to address problems related to quantum TGD and time, and g) found a dual aspect for the geometrization of physics from number theory, p-adic physics, and Adelic physics, which also forms a theory of cognition and consciousness within the same framework. This segment particularly emphasizes explaining the fundamentals of general relativity and its conservation laws with related symmetries, underscoring their relevance to the inception of TGD, which was sparked by questions within this domain. Noether's theorems play a central role in this excursion. In the last section, I will provide additional information on TGD, such as its main publications, websites, blogs, videos, podcasts, and other resources. I have also given a section about the research methodology I am pursuing (Truncated by viXra Admin to < 400 words).
Category: Mathematical Physics
[11] viXra:2405.0093 [pdf] submitted on 2024-05-17 22:40:45
Authors: Miftachul Hadi
Comments: 1 Page.
We propose that hydrodynamics could be treated as $U(1)$ gauge theory where the velocity field written using Clebsch variables and the related vorticity are identical to the gauge potential and the field strength tensor, respectively.
Category: Mathematical Physics
[10] viXra:2405.0088 [pdf] submitted on 2024-05-17 20:25:15
Authors: Claude Michael Cassano
Comments: 79 Pages. (Note by viXra Admin: Please cite and list scientific references)
I have used a variety of 4×4 matrix factor pairs while using Helmholtzian operator factorizationsin analyzing fermion architecture and interactions; some commutative, others not.The following is a generalization to a set of 4×4 associative-commutative matrix factor pairs of general linear/differential operators to establish as a baseline foundation to begin operating from. Because the operators are associative-commutative, the factors lend themselves to chaining - and thus, to chaining of mesons, hadrons, and to chemical compound chaining - amino acid chains, proteins, nucleic acids , and so on. Much is known, but MACLOF chains may provide a mathematical foundation to chemical compound chaining. Note also, that since MACLOF factoring may be extended to higher dimensions, so too MACLOF chaining, and resulting expansion of understanding.
Category: Mathematical Physics
[9] viXra:2405.0080 [pdf] submitted on 2024-05-15 20:23:43
Authors: Andreas Ball
Comments: 15 Pages. (Title modified by viXra admin to conform with scholarly norm)
In this report formulas are presented, which are based on the Koide-Formula and at which the input data are chosen from different fields of natural sciences. The Input data can be data of our celestial bodies, values of Physical Constants or just mathematical figures.Besides the Koide-Formula with a result very close to the term "2/3", also many other Formulas deliver unexpected results and connections, which also partly lead to the term "2/3". By that the assumption arises, that an unknown system might exist behind these astonishing results.
Category: Mathematical Physics
[8] viXra:2405.0059 [pdf] submitted on 2024-05-10 16:31:41
Authors: Arturo Tozzi
Comments: 13 Pages.
Ramanujan’s real period functions plus Picard—Fuchs differential equations and Gaussian hypergeometric functions generate a wide range of simple hypergeometric manifolds (henceforward PFHM) consisting of two-dimensional coupled subsystems combined in a single three-dimensional system with dihedral symmetry. We argue that PFHM could be used to elucidate the homoclinic paths equipped with stable, closed and constrained orbits that characterize the dynamical behavior of a large number of physical and biological systems. Since PFHM encompasses coupled subsystems with Hamiltonian interactions that are reciprocal in nature, the options for the total system’s energetic conformation are restrained. Therefore, energetic changes in a subsystem are inversely correlated with energetic changes in another subsystem. This balanced, inverse energetic reciprocity could be used to elucidate the unusual behavior of quantum entangled particles and the thermodynamic constraints dictating the final shape of frustrated proteins. Also, the thermodynamic paths of apparently isolated systems can be influenced by feedback mechanisms from hidden subsystems that exert their influence and can be quantified, even without full knowledge of every control parameter. PHFM can be methodologically treated in terms of cycle attractors, shedding new light on well-known physical phenomena like the dynamical behavior of monostatic bodies. Yet, the possibility to analyze two-dimensional paths in terms of three-dimensional routes could be useful to assess the ubiquitous occurrence of the Turing’s reaction-diffusion model in biological systems. We suggest that PFHM might stand for a general mathematical apparatus shaping the phase space of various real dynamical paths, with applications in digital imaging, cryptography and memory storing.
Category: Mathematical Physics
[7] viXra:2405.0050 [pdf] submitted on 2024-05-08 05:32:11
Authors: G. Makrinich, A. Fruchtman, S. Shitrit, G. Appelbaum, J. Ashkenazy
Comments: 7 Pages.
A heat flux probe has been developed for the purpose of measuring the heat flux density in the plume of the Hall thruster. The measurement is based on comparing the rates of heating and cooling of the probe during its exposure to and isolation from the plasma flow. In the case of a helicon plasma source this is accomplished easily by turning on and off the plasma flow. The measured heat flux into the negatively-biased probe is in a very good agreement with the calculated heat flux carried by the impinging plasma ions, indicating that there are no energetic neutrals. This method will be employed for the plume of the Hall thruster and is expected to provide an estimate of the heat flux carried by energetic neutrals.
Category: Mathematical Physics
[6] viXra:2405.0049 [pdf] submitted on 2024-05-09 00:33:19
Authors: S. Shitrit, E. Arad
Comments: 39 Pages.
The aerodynamics of hypersonic vehicles is highly affected by enthalpy or "real gas" effects. The purpose of the current study is to assess the proper formulation of computational fluid dynamics required for simulation of high-enthalpy flows. Under the assumption of chemical and thermal equilibrium, a functional representation has been employed for specific heat at constant pressure, thermal conductivity, and viscosity coefficients for air at 500 to 30,000 K and pressure range of 10−4 to 100 atm. The proposed approach is evaluated using double-cone configuration at hypersonic flow. It is shown that the equivalent gas model is capable of capturing the main features of these flow fields and compares well with experiments.
Category: Mathematical Physics
[5] viXra:2405.0045 [pdf] submitted on 2024-05-07 21:13:21
Authors: Miftachul Hadi
Comments: 1 Page.
We propose there exists a knot in the weak velocity of fluid flow.
Category: Mathematical Physics
[4] viXra:2405.0023 [pdf] submitted on 2024-05-05 20:51:05
Authors: Chie B. Wang
Comments: 6 Pages.
In this paper we present a new identity to associate the conservation laws of stress-energy tensor with the field equations in Yang-Millstheory. The Lorentz force is included with a consistent formulation as in Maxwell theory.
Category: Mathematical Physics
[3] viXra:2405.0019 [pdf] submitted on 2024-05-05 20:45:45
Authors: Miftachul Hadi
Comments: 1 Page.
We assume that velocity in hydrodynamics is an identical form of the gauge potential in electromagnetism where the vorticity is identical to the field strength tensor. Because the gauge potential can be decomposed into local and global parts, the velocity in hydrodynamics could also be decomposed into local and global parts.
Category: Mathematical Physics
[2] viXra:2405.0008 [pdf] replaced on 2024-05-21 09:41:42
Authors: Juno Ryu
Comments: 11 Pages. References added.
In this article, we remind the procedure of construction of path integral formalism.
Category: Mathematical Physics
[1] viXra:2405.0005 [pdf] replaced on 2024-05-24 03:29:38
Authors: Juno Ryu
Comments: 10 Pages. typo corrected
For categorical construction of QFT, we introduce the mathematical language called canvas theory.
Category: Mathematical Physics
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