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| viXra.org > Mathematical Physics > 2305 |
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[7] viXra:2305.0182 [pdf] replaced on 2023-08-12 11:51:16
Authors: Jaykov Foukzon
Comments: 48 Pages. doi:10.1088/1742-6596/2701/1/012113
A new non-Archimedean approach to interacted quantum fields is presented. In proposed approach, a field operator φ(x,t) no longer a standard tempered operator-valued distribution, but a non-classical operator-valued function. We prove using this novel approach that the quantum field theory with Hamiltonian P(φ)_4 exists and that the corresponding C^* algebra of bounded observables satisfies all the Haag-Kastler axioms except Lorentz covariance. We prove that the λ(φ^2n )_4,n≥2 quantum field theory models are Lorentz covariantJaykov Foukzon 2024J. Phys.: Conf. Ser. 2701 012113doi:10.1088/1742-6596/2701/1/012113
Category: Mathematical Physics
[6] viXra:2305.0124 [pdf] replaced on 2023-10-03 03:52:26
Authors: Stephen H. Jarvis
Comments: 40 Pages.
Proposed here is a new approach to the known disparity between the 4d spacetime designs of quantum field theory (QFT) and general relativity (GR). The reason for calculus in physics, and how and why QFT developed as flat 4d spacetime and GR as curved 4d spacetime shall be outlined. The key difference between QFT and GR in the context of the GR based ΛCDM model shall be confirmed as the condition of QFT requiring independent inertial frames of reference and GR requiring dependent inertial frames of reference. Following such, a brief account of current attempts uniting QFT and GR as the search for quantum gravity shall be outlined. In making use of the known QFT and GR data, their flat/curved 4d spacetime disparity, and the difficulty in proving quantum gravity, a new approach forward is proposed via a zero-dimensional number theory application to physical data. By this zero-dimensional number theory, the QFT and GR data and associated flat/curved spacetime disparity are confirmed, together with presenting a zero-dimensional quantum gravity paradigm termed as "zero quantum gravity" outlining QFT processes that prescribe a proposed zero-point gravitational field effect that can be tested experimentally. Here, the intention is not to disrupt or dispel the current quests for quantum gravity, yet to offer a current theoretic and experimental utility to the known mismatch between QFT and GR on that path to quantum gravity.
Category: Mathematical Physics
[5] viXra:2305.0098 [pdf] submitted on 2023-05-13 02:45:49
Authors: Marcello Colozzo
Comments: 3 Pages.
A non-trivial interpretation of Fourier integral theorem in the framework of measure spaces.
Category: Mathematical Physics
[4] viXra:2305.0089 [pdf] submitted on 2023-05-12 00:20:25
Authors: J. A. J. van Leunen
Comments: 135 Pages. (Correction made by viXra Admin - Please conform!)
The Hilbert Book Model project produced this publication. The search for a reliable foundation of physical reality has had many setbacks and is slow. As a result, mainstream physics got at a sidetrack. Quantum Field Theory, Quantum Electro Dynamics, and Quantum Chromodynamics use the minimal action principle as their base. The Hilbert Book Model shows that continuums belong to the third phase of a special set and cannot work as a foundation of mathematical physics. This document shows how the three phases of the special set lead to a vector space and number systems, which apply to a system of Hilbert spaces in which the local universe and a parallel multiverse can pose. Also, the document shows that science must not consider the Higgs particle or the Higgs field as part of the Standard Model. Instead, the Standard Model of experimental particle physicists should restrict to elementary fermions. Most physicists interpret photons as excitations of the electric field. In contrast, the HBM interprets photons as chains of dark energy objects, and the dark energy objects are shock fronts that excite the field, representing the local universe. Hop landings of the state vectors of the fermions produce spherical shock fronts that move with light speed away from the location of this landing. This conflicts with the ideas of conservation laws that play in mainstream physics. According to the HBM, a big bang never occurred. The model considers two episodes, and at the beginning of the second episode, time starts running together with an ongoing creation of fermions.
Category: Mathematical Physics
[3] viXra:2305.0057 [pdf] submitted on 2023-05-05 04:33:19
Authors: Quang Nguyen Van
Comments: 4 Pages.
Regarding the interference of the two light beams, We usually think of it as interference between two light beams of the same wavelength and frequency. However , if the interferometer of the Michelson-Morley experimental device accurately records the interference of the two beams of the same wavelength, that is negative evidence for the correctness of the postulate 2 of Special relativity.
Category: Mathematical Physics
[2] viXra:2305.0036 [pdf] submitted on 2023-05-04 09:56:13
Authors: Marcello Colozzo
Comments: 2 Pages.
Under very general hypotheses, the behavior of dynamical systems described by a linear first order differential equation is independent of the initial condition.
Category: Mathematical Physics
[1] viXra:2305.0010 [pdf] submitted on 2023-05-03 01:23:09
Authors: Guillermo Ayala-Martinez
Comments: 2 Pages.
The equations of the compressible fluid are compared with those of the incompressible fluid in 3D, if there is an analytical solution with constant density it is also for variable density, but the continuity equation must include the variation of the density.
Category: Mathematical Physics
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