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