The Ostrowski Dimensionless Reformulation: A Systematic Compilation of Fundamental Physics Equations in Planck Units

Abstract

Version 2.0 (major refactor). Systematic compilation and dimensionless reformulation of 53 fundamental physics equations across ten disciplines, motivated by the Ostrowski Dimensionless Mandate. All quantities expressed as pure-number ratios to Planck-scale counterparts (hbar=c=G=k_B=1). v2.0 consolidates all prior versions and RESTORES the Systems of Dimensionless Equations (section 3.8: Quantum Triad, Mass-Frequency Web, Thermo-Gravity Bridge, Information-Entropy Web) and Cross-Domain Formula Bridges (section 3.9: B1 Quantum-Classical, B2 Plasma-Thermodynamic, B3 Info-Physics Unity, B4 Fine-Structure, B5 Spectral-Thermal, B6 Superconductivity, B7 Condensed Matter, B8 Electro-Gravity). Includes: Ratio Primacy Principle, Running Couplings (alpha(Q~^2) is a running ratio), Breadth Trap (non-computable reals unfalsifiable), Completion Lattice (5 Ostrowski completions), Tate-compliant adelic extension. 24-page PDF, 21 references. Red-team corrected the London-depth 4pi error (lambda_L*omega_p = 1).