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| viXra.org > Quantum Physics > 2406 |
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[8] viXra:2406.0188 [pdf] replaced on 2024-07-01 15:43:31
Authors: Michalis Psimopoulos
Comments: 38 Pages.
We consider the black-body cavity as a closed system consisting of a fixed total number s of quanta that in turn form a random total number N of photons. The states describing this photon gas are equiprobable according to Bose statistics and their number is equal to the number of partitions of the integer s. Using the Hardy-Ramanujan formula for large s, Planck's distribution is derived without resorting to Boltzmann's law and to interactions between radiation and matter.
Category: Quantum Physics
[7] viXra:2406.0141 [pdf] replaced on 2025-05-29 20:48:15
Authors: Koji Nagata, Do Ngoc Diep, Tadao Nakamura
Comments: 7 Pages.
We propose necessary and sufficient conditions for the root-finding problem. A quantum algorithm for finding the roots of a polynomial function $f(x)=x^m +a_{m-1}x^{m-1}+...+a_1x+ a_0$ is studied in term of the phase kickback as an application of the necessary and sufficient condition. As a result, we find a simple formula for the root-finding problem. Here all the roots are in the real numbers $bf R$. All the roots are different numbers and the number of the roots is $m$. We expect our discussions give some insight for future studies for root-finding problem.
Category: Quantum Physics
[6] viXra:2406.0140 [pdf] submitted on 2024-06-24 18:53:01
Authors: Yi Cao
Comments: 26 Pages.
In articles of SunQM-6, -6s1, -6s2, 6s3, and -6s4, I had established the framework of a brand new {N,n} QM field theory. In the rest SunQM-6 series articles, I added more detailed developments on the {N,n} QM field theory. In the current article, I added some new developments on the S/RFs-force. 1) A 4He nucleus is constituted with two same neutron-proton binaries that are doing the "face-to-face plus face-opposite-face two-level orbital motion". Within each one binary, the neutron and proton are doing the "face-to-face tidal-locked orbital binary motion" with the parallel nuclear spin ⇑⇑↑. Between the two binaries, they are doing the "face-opposite-face locked binary orbital motion" in φ-1D bi-direction with the anti-parallel nuclear spin ⇑⇑↑⇓⇓↓, that eventually transformed to be a θ-1D orbital uni-directional motion. Meanwhile, the nuclear proton-1 and atomic electron-1 (in a 4He atom) are paired to do the "face-to-face tidal-locked orbital binary motion", and so does the proton-2 and electron-2 pair. The same model can be used to explain the dynamic structure of the multi-nucleons inside the nuclides of 1H, 2H, 3H, 3He, and α particle. 2) A neutron is formed with two sub-structures, one "u-d" binary and one "d" singlet, and they are also doing the "face-to-face plus face-opposite-face two-level orbital motion". A proton is also formed with two sub-structures, one "u-d" binary and one "u" singlet, and they are again doing the "face-to-face plus face-opposite-face two-level orbital motion". The Weak Interaction may be the spin-spin interaction (↑↑ vs. ↓) between the two sub-structures (that made of the three quarks inside a nucleon) with a "face-to-face plus face-opposite-face two-level orbital motion" in the θ-1D uni-direction; the β decay (in a neutron) may be caused by the crash of the two sub-structures after the disruption of this θ-1D uni-directional motion and goes back to the φ-1D bi-directional motion. 3) The "face-to-face plus face-opposite-face two-level orbital motion" may be one of the common dynamic structures in the N-body motion under the E/RFe-force, S/RFs-force, and even the G/RFg-force fields. 4) The "face-to-face tidal-locked (spin ↑↑) binary orbital motion" is the root for the "face-opposite-face locked (spin ↑↓) binary orbital motion", for the "single-face tidal-locked binary orbital motion", for the "proton-electron mirror-coupled orbit" model, for the parallel spin of the "mother", the "daughter" and the "newborn" in the "|nL0> Elliptical/Parabolic/Hyperbolic Orbital Transition Model", and, for the "π-bond" spin-spin interaction model in the arm of a galaxy. Therefore, it is also one of the many nature attributions of the QM. 5) The "Fourier transformation" kind of analysis revealed that the "quasi 4He nucleus" is the building block of the high Z# nucleus. The similar analysis revealed that the {N,n//6} QM (in our universe) naturally includes {N,n//2}, {N,n//3}, {N,n//4} and {N,n//6} modes, so it covers the maximum number of modes (for superposition), and q=6 is still a small integer number that does not damage the quantum character of the {N,n//q} QM. Finally, because of its completeness and self-consistence, I do believe that the {N,n} QM is qualified to be put into the "Feynman Pool" as one of the many co-existing QM theories.
Category: Quantum Physics
[5] viXra:2406.0136 [pdf] replaced on 2024-08-31 21:53:15
Authors: Eric Edward Albers
Comments: 103 Pages. Updated/fixed mathematics
The Spacetime Superfluid Hypothesis (SSH) is a novel approach to unifying the fundamental forces of nature by proposing that spacetime is a superfluid medium. This paper presents a comprehensive overview of the SSH, its mathematical formulation, and its potential implications for our understanding of gravity, electromagnetism, and quantum mechanics.The SSH describes spacetime as a superfluid governed by a modified non-linear Schrödinger equation (NLSE), which includes interactions between the superfluid and the electromagnetic field. In this framework, particles and fields emerge as excitations or topological defects within the superfluid, with their properties determined by the dynamics and geometry of the superfluid.The paper explores the key aspects of the SSH, including the interpretation of matter-antimatter pair creation as the formation of solitons with opposite topological charges, the role of the potential term in the NLSE, and the description of magnetic fields as a manifestation of the superfluid's topological properties. The SSH's implications for light deflection and its relationship to Snell's law are also discussed. A significant focus of the paper is the coupling between gravity and electromagnetism within the SSH. By introducing a density field and a gravitational field defined as its gradient, the SSH provides a unified description of these fundamental forces. The modified Maxwell's equations and the equations for the coupling between gravity and electromagnetism are derived and analyzed. Furthermore, the paper demonstrates that the SSH can be aligned with general relativity by carefully choosing the values of its parameters, such as the mass of the superfluid particles and the coupling constants. This alignment highlights the SSH's potential as a generalization of general relativity, capable of describing both classical and quantum phenomena. The SSH offers a fresh perspective on the nature of spacetime and the unification of the fundamental forces. While still a speculative theory, its mathematical elegance and potential for explaining a wide range of physical phenomena make it a promising avenue for further research. This paper provides a solid foundation for future investigations into the SSH and its implications for our understanding of the universe.
Category: Quantum Physics
[4] viXra:2406.0131 [pdf] replaced on 2024-09-08 08:37:32
Authors: Pavlo Danylchenko
Comments: 7 Pages.
The general solution of the equations of the gravitational field of the galaxy with an additional variable parameter n is found. The additional variable parameter n determines in GR the distribution of the average mass density mainly in the friable galactic nucleus. The velocity of the orbital motion of stars is close to Kepler only for n>2^25. At n<2^15, it is slightly less than the highest possible velocity even at the edge of the galaxy. The maximum allowable value of the average mass density of a substance outside the friable galactic nucleus negligibly weakly depends on the parameter n in GR. If the energy-momentum tensor is formed not on the basis of external thermodynamic parameters, but on the basis of intranuclear gravithermodynamic parameters of the substance, then the dependence of the average mass of the substance on the value of the parameter n becomes very significant. The permissible value of the average mass density of matter outside the friable galactic nucleus is determined by the value of the parameter, which is responsible for the curvature of space. And it can be arbitrarily small. Therefore, in relativistic gravithermodynamics, in contrast to GR, there can be no shortage of baryonic mass.
Category: Quantum Physics
[3] viXra:2406.0130 [pdf] replaced on 2024-09-08 08:34:46
Authors: Pavlo Danylchenko
Comments: 676 Pages.
The work, which collects both ancient, antique and medieval as well as modern convincing evidence of dark- red-skinnedness of the medieval Slavs and their Sarmatian ancestors and ancient Germanic people, as well as about the Slavic speaking of our ancestors Ukrainians who lived cross-strait together with ancestors of the Chinese and Tungusic people (which is confirmed by the fact that hereditary Slavs preferred to use mainly hard vowel "e", and not the soft Turanian "je", as well as by the numerous Slavic-Chinese, Slavic-Japanese, Slavic-Evenki and Slavic-Manchu isoglosses). This work allows us to look in a new way at the ethnogenesis of Ukrainians and finally give up naive search for the ancestral homeland of the medieval dark- red-skinned Slavs in Europe. So, the work that formed on the basis of the materials of the previously published article "History of the tribes and peoples that formed the Ukrainian ethnos and the state of Ukraine", can be useful both for scientists and students of history and other faculties of higher education institutions, as well as for ordinary citizens of Ukraine who are interested in the history of their ancestors. Refusal of those historical myths imposed by the Turanians of Muscovy will significantly contribute to the formation of civil society in the country. The other thing that can also significantly contribute to this is the recognition of the state of our ancestors Slavic-speaking Goths Greutungi > Hrosi > Rus as the first state of Ukrainians.
Category: Quantum Physics
[2] viXra:2406.0129 [pdf] submitted on 2024-06-22 13:15:07
Authors: Marcello Colozzo
Comments: 6 Pages.
The values assumed by the Riemann Zeta function on even natural integers contribute to the calculation of the total energy of an ideal Fermi gas in a non-relativistic and strongly degenerate regime.
Category: Quantum Physics
[1] viXra:2406.0089 [pdf] replaced on 2024-06-25 12:21:20
Authors: Ervin Goldfain
Comments: 12 Pages.
The measurement problem of Quantum Mechanics reflects the tension between the deterministic evolution of wavefunctions and their random collapse caused by experimental observations. Here we argue that, in the Hamiltonian picture of quantum dynamics, wavefunction collapse follows from the destruction of adiabatic invariance on ultrashort time scales. Once adiabatic invariance is lost, Planck’s constant becomes meaningless, and Quantum Mechanics breaks down. We also suggest that, in the long-time limit, action quantization is a result of Arnold diffusion, a process describing the instability of nearly integrable Hamiltonian systems with more than two degrees of freedom.
Category: Quantum Physics
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