Radial Clock Lag Density Packing Derives 1r squared Without Curved Time

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Authors: Boris Karagiannis
Cited by: 0

Abstract

[This content is now fully covered by the main Apollonian theory of everything] GPS satellites run +38.7 microseconds/day faster than ground clocks (NIST/Ashby). GR says "gravitational potential". My model: slow lumps (500 m/s) rain from void, pack radially around mass, density rho(r) equals const divided by r squared from geometry of 3D shells thinning. Integral from r to infinity rho dr equals const divided by r gives exact lag, no warp. Kappa equals 7.39 times 10 to the power 5 m squared per kg fixed (collision cross-section per kg). Effective rho0 equals 1.48 times 10 to the power -22 kg per m cubed at Earth surface, sparse atmiton crowd, not matter. The rain is not dark matter, it's kinetic push from void, piling 1/r squared. No extra particles or halos. Just bumps. Prism shows drag in thick medium; space crowd too thin for color split. Same rule: packing squeezes rulers/clocks. No dark, no curve—just rain.

Fields of Study & Subjects

Relativity and Gravitational Theory Cosmology and Gravitation Theories Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 March 2026
Language
EN
Document type
Preprint