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| viXra.org > Quantum Physics > 2608 |
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[4] viXra:2608.0036 [pdf] submitted on 2026-08-08 05:03:56
Authors: Runsheng Tu
Comments: 10 Pages.
Classical mechanics and quantum mechanics are considered to be binary oppositions. This kind of understanding has never brought us any real benefits, only trouble. The fundamental equations of quantum mechanics cannot logically delineate the boundary between quantum and classical mechanics. On the contrary, the mass m and potential energy V in the Schr ö dinger equation can easily cross the boundary between microscopic and macroscopic levels. The electromagnetic potential energy in the Schrödinger equation can be replaced with the potential energy of the interaction force. Potential energy can be further transformed into force based on F=V/r. This operation can establish Newton's second law wave equation (e.g., Eq.(30)) and force containing wave mechanics equation (e.g., Eq. (31) ) ψ =Fψ). This result more directly indicates that quantum and classical are compatible. Eliminating the historical absence of the concept of "force" in quantum mechanics, bridging the gap between macroscopic classical and microscopic quantum frameworks, and changing people's perceptions. Can explain why nanoscale particles have quantum properties. Simplify the calculation of quantum forces. This lays the foundation for the generalized wave mechanics that unifies mechanics across scales.
Category: Quantum Physics
[3] viXra:2608.0023 [pdf] submitted on 2026-08-06 15:54:03
Authors: Arūnas Ostasevičius
Comments: 11 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)
This paper introduces an alternative, deterministic paradigm for the micro-world by modeling the hydrogen atom as an open, non-linear dissipative system embedded within the hydrodynamic substratum of Wheeler’s quantum foam. By replacing the abstract complex-valued wave function of standard quantum mechanics with a modified three-dimensional Van der Pol system formulated via Hamilton’s quaternions (H), we resolve the fundamental paradoxes of stationarity, instantaneous quantum jumps, and wave-particle duality. In this framework, the stable ground state of the atom emerges naturally as a stable limit cycle (attractor), where the classical Coulomb potential acts as an active negative-friction energy pump that balances velocity-dependent radiative dissipation at the Bohr radius (a0). We present a non-quantum, electrodynamic derivation of the Bohr radius and link the emission frequency directly to radiation intensity via the characteristic impedance of free space (Z0) without invoking Planck’s constant (h). Furthermore, the four traditional quantum numbers (n, l, m, s), the Zeeman splitting, and the Pauli exclusion principle are decoded as explicit geometric and topological properties of a phase-locked spatial rotator, bypassing the necessity of both the Schrödinger probability density and the complex Dirac matrices.
Category: Quantum Physics
[2] viXra:2608.0004 [pdf] submitted on 2026-08-02 00:26:38
Authors: Arunas Ostasevicius
Comments: 8 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)
This paper proposes a deterministic macroscopic model of thermal radiation from condensed matter, offering an alternative to stochastic noise approaches of fluctuational electrodynamics. Based on the concept of a continuous cascade buildup of intermittent self-oscillations of the electron subsystem during slow heating (the Bolero principle) and first-order linearized Maxwell equations, a rigorous analytical derivation of Wien’s spectral law is obtained. The thermal response parameter of a substance is expressed for the first time in terms of its fundamental macroscopic properties: the dynamic stiffness of the electron shell of the emitting center, the volumetric heat capacity of the lattice, and the unit cell volume. Numerical verification of the model using the high-temperature parameters of tungsten (W) is performed, demonstrating the exact convergence of the equations. An analytical relationship is established between the macroscopic rate of change of the medium’s temperature and the baseline amplitude of the radiation current.
Category: Quantum Physics
[1] viXra:2608.0003 [pdf] submitted on 2026-08-02 00:24:12
Authors: Julinho Jorge Luís
Comments: 16 Pages.
The Gamma function diverges at negative integer and half-integer arguments, posing a fundamental obstacle for both perturbative and non-perturbative theories. Analytic continuation, while guaranteeing uniqueness, does not preserve the Euler integral representation in the left half-plane, as noted by Hardy and Titchmarsh. We present a continuous regularization technique - the Dual Architecture - that addresses this limitation through a complementary function F(z) with directional vector opposite to that of the Gamma function. The phase function C(z)=cosu2061(πz)-sinu2061(πz) is uniquely determined by the boundary conditions F(0)=1 and F(1/2)=-√π, and its periodicity is established by Lemma 2.1. The regularized function RΓ(z)=1/[C(z)Γ(1-z)] for R(z)≤0 is finite by construction at all points where the classical Gamma function diverges, unifying regulation and subtraction within a single definition. We demonstrate the physical applicability of the technique across six systems: the cosmological constant, the Higgs boson mass, the strong CP problem, the Casimir effect, dimensional regularization in d=3, and a divergent Gaussian integral. In each case, the algebraic development is presented in full, yielding analytical results consistent with experimental values. The technique offers a unified framework for treating Gamma-function divergences across perturbative and non-perturbative regimes.Keywords: Continuous regularization, Gamma function, uniqueness theorem, Casimir effect, Standard Model.
Category: Quantum Physics
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