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[2] ai.viXra.org:2510.0048 [pdf] submitted on 2025-10-21 16:02:55
Authors: Antonios Stefanou
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We introduce a novel generalization of the classical Coulomb potential by incorporating an oscillatory component in three-dimensional space. The potential for a point charge is given by φ(r) = (q / (4 * pi * epsilon_0)) * cos(kappa * r) / r, where kappa is a tunable parameter controlling the wavelength of oscillations. The corresponding force F(r) = (q1 * q2 / (4 * pi * epsilon_0 * r^3)) * [cos(kappa * r) + kappa * r * sin(kappa * r)] exhibits alternating attractive and repulsive regions, introducing static equilibrium points absent in the classical Coulomb law. This formulation reduces to the standard 1/r potential in the limit kappa → 0 and can be extended to include screening, anisotropy, or fractional operators. Possible applications include engineered materials, optical lattices, and theoretical studies of modulated static interactions. The framework provides a versatile foundation for exploring novel electrostatic force landscapes in both numerical and experimental contexts.
Category: Classical Physics
[1] ai.viXra.org:2510.0046 [pdf] submitted on 2025-10-20 15:44:47
Authors: Jon Pelchat
Comments: 141 Pages. (Note by ai.viXra.org Admin: Table of content should be omitted or listed after article title, author name and the abstract)
This work derives six fundamental physical constants (π, φ, r_ψu200b, r_ϕu200b, ℏ_infou200b, and α) from three information-theoretic axioms with zero free parameters. The framework originates from the verification paradox (impossibility of self-verification), which necessitates two complementary processing domains (ψ for exploration/chaos, ϕ for execution/order) whose overlapping competence forms a vesica piscis geometry. Constraints including two-bit closure (defining π), no-switching stability (forcing the golden ratio φ), and flow conservation uniquely determine the vesica geometry, including domain radii r_ψ=φu200b and r_ϕ=π−1/φ. The information quantum ℏinfou200b=(πu200b − φu200b)/π≈0.159 emerges as the normalized quantum-classical transition width, discretizing states into ≈20 bins. Two independent mechanisms—helical layer overflow and hierarchical packing—predict the fine-structure constant α as ≈0.007301 (0.06% error) and ≈0.007325 (0.38% error) respectively, agreeing with the observed value α_obs≈0.007297 . The 2D vesica extends into a 3D logarithmic z-spiral, linking dimensional complexity to observer embedding depth (z=α=d/8) and explaining observed 3+1 spacetime dimensions. The framework yields five concrete, falsifiable predictions testable with current technology across quantum devices, nuclear physics, and astrophysics. If validated, this establishes information geometry as the foundation for physical constants, with quantum mechanics, general relativity, and thermodynamics emerging as computational constraints.
Category: Classical Physics