Geometric Annihilation of the GM Parameter. Kinematic Origin of the 31^6 Exponent
Year: 2026
Type: article
Abstract: Core Publication: https://zenodo.org/records/23591053 This paper presents a mass-free, kinematic deconstruction of the classical solar gravitational parameter GM⊙ within the Universal Kochenov Framework (UKF). We demonstrate that the composite Newtonian dimension [m3/s2]] is a methodological artifact arising from the use of an anthropogenic time scale to measure a discrete spatial lattice. By redefining the classical second as a physical projection of the Earth’s equatorial waveguide step (u∗≈463.83 m), the gravitational parameter is shown to collapse into a pure topological length. The core structural findings are: Kinematic Origin of 31^6: The macro-scale exponent in the system boundary address (ℓ31=316⋅rAU) is rigorously derived as the geometric square of the cubic kinematic velocity core (31^3≈v⊕) governed by the classical vis-viva relation. The 12/31 Reciprocal Invariant: The orbital address of Mercury (aMer≡12/31 AU) and the laboratory gravitational constant (G31=312/144) form a strict, mutually inverse algebraic identity: G31≡1/aMer2. This proves that Newton's gravitational constant is structurally identical to the inverse-square address of the first planetary node. Zero Fitted Parameters: No constant in this correspondence is fitted. The inputs are strictly measured values (astronomical unit, equatorial perimeter, day length, torsion-balance G) and the register integers {12,31,144,720,ϕ}. The elasticity residuals (δnum≈0.0424%) are outputs of the geometric lattice, not inputs. The metric ignores mass; it obeys the address. E=I
Author: kochenov, boris
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225326164