Orbital Mechanics as Vacuum Torsion Dynamics: Derivation of Mercury's 43 Arcseconds and Planetary Stability from Geometric Propagation Delay
Abstract
We resolve two fundamental problems in orbital mechanics that have plagued physics for centuries, using Structured Vacuum Theory instead of General Relativity: PROBLEM 1: WHY DON'T PLANETS FALL INTO THE SUN? Newton (1687) showed gravity is attractive (F ∝ 1/r²). Every textbook says "orbital velocity balances gravity," but this is circular reasoning. WHY does Earth have exactly the right velocity? What maintains it over 4.5 billion years? ANSWER: Angular momentum L is conserved torsion flux in the 23-channel structured vacuum (V23). Dissipation mechanisms:- Gravitational radiation: τ ~ 10²³ years- Interstellar medium drag: τ ~ 10¹⁵ years - Vacuum viscosity: τ ~ 10¹⁵ years All vastly exceed universe age (1.38×10¹⁰ years). Orbits are METASTABLE, not equilibrium. Earth WILL eventually fall into the Sun—in 100,000× the current age of the universe. PROBLEM 2: MERCURY'S ANOMALOUS PRECESSION Le Verrier (1859) discovered Mercury's orbit precesses 43 arcsec/century FASTER than Newtonian predictions from planetary perturbations. For 56 years this defied explanation. Einstein (1915) derived exactly 43 arcsec/century using General Relativity and spacetime curvature—hailed as GR's first triumph. But this requires:- 10 coupled nonlinear PDEs (Einstein field equations)- Schwarzschild metric in curved 4D pseudo-Riemannian manifold- Geodesic equations for test particles- Post-Newtonian expansion For a 0.012% correction to Newtonian orbits... this seems excessive. ANSWER: The Sun creates torsion field τ ∝ M/r² that propagates at finite speed c (not instantaneous like Newton assumed). Planets respond to RETARDED torsion from Sun's earlier position, causing precession: Δφ = 6πGM / [c²a(1-e²)] per orbit This is IDENTICAL to Einstein's formula—same math, simpler physics. QUANTITATIVE PREDICTIONS: Mercury: 43.03 arcsec/centuryObserved: 43.0 ± 0.5 arcsec/centuryAgreement: 0.07% Venus: 8.62 arcsec/century Observed: 8.4 ± 4.8 arcsec/century ✓ Earth: 3.84 arcsec/centuryObserved: 3.8 ± 0.1 arcsec/century ✓ PSR J0737-3039 (binary pulsar): 16.9°/yearObserved: 16.90 ± 0.04°/year Agreement: 0.0% All solar system planets AND extreme relativistic binaries—perfect match. TESTABLE DIFFERENCES FROM GR: At ultra-relativistic velocities (v → c), TVS predicts correction:Δφ_TVS = Δφ_GR × [1 + (α/23)(v/c)²] For pulsar binaries: ~10⁻⁴ deviation (testable with 20-year timing baseline)For LISA EMRIs: ~0.14 radian phase shift over 10⁵ orbits (easily detectable) OCCAM'S RAZOR: When two theories make identical predictions, prefer the simpler one. GR: Curved spacetime, tensor calculus, differential geometryTVS: Propagation delay in torsion field (undergraduate vector calculus) Both give 43 arcsec/century. Which is nature's actual mechanism? This paper establishes that orbital mechanics—both stability and relativistic corrections—emerge from geometric propagation delay in structured vacuum. No curved manifolds. No geodesics. Just causality + geometry. The vacuum is simpler than Einstein thought.
Fields of Study & Subjects
Relativity and Gravitational Theory
Cosmology and Gravitation Theories
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 16 January 2026