A meta-scientific framework for classifying the empirical closure status of known physical "laws"/"formula" using independent observational constraints

A meta-scientific framework for classifying the empirical closure status of known physical "laws"/"formula" using independent observational constraints as per ICF method. The gap told us exactly what the next theory needed to do: The deductive structure is a three-step algorithm the ICF framework already defines: Where do independent constraints fail or diverge? (locate the gap) What new quantity would need to become an independent observable to close that gap? (identify what's missing) The next theory must do exactly that, nothing more, nothing less. (the necessary condition) DESCRIPTION This registry provides a comprehensive, systematic classification of 87 fundamental physics formulas across eight major sectors, evaluated strictly by their empirical constraint status. The work applies the Independent-Constraint Framework (ICF), a methodological tool for assessing whether physical relations are sufficiently determined by independent observational measurements. What this Registry contains 1. Master Formula Table (87 formulas) A complete inventory of fundamental relations across: Classical Mechanics (7 formulas) Special Relativity (6 formulas) General Relativity (10 formulas) Gravitational Waves (5 formulas) Quantum Mechanics (7 formulas) Thermodynamics (4 formulas) Nuclear QM and GR make contradictory assumptions about time (parameter vs. observable) Black hole interior: Causally inaccessible—zero constraints possible by construction Pre-Big Bang: No causal access to t < 10⁻⁴³ seconds What this Work is not This registry is not: A new physical theory or model A proposal for unification or quantum gravity An attempt to resolve open problems in physics A claim about the ultimate nature of reality Speculation about future theories This registry is: A systematic audit of empirical constraint status A methodological framework for evaluating theoretical closure A historical reconstruction of theory succession based on constraint failure A taxonomy of gaps by their epistemological character A reference tool for understanding where physics stands empirically Intended Audience Philosophers of science: Interested in theory validation, empirical adequacy, and scientific realism Physicists: Seeking clarity on empirical status of different sectors and open problems Historians of physics: Studying theory succession and the logic of theoretical extensions Graduate students: Learning where physics is well-established vs. uncertain Science communicators: Explaining what physics does/doesn't know and why Strict Methodological Commitments No speculation: Only empirically verified constraints are counted No metaphor: Terms like "closed" and "gap" have precise procedural definitions Domain-specific: All claims specify regime of validity Revision-ready: All classifications subject to change with new data Constraint-counting: Status determined by number and independence of observational constraints, not theoretical elegance or simplicity Usage Notes Users of this registry should understand that: ICF status applies only within specified domains (e. g. , "v << c", "weak gravity", "ρ < ρPlanck") "Closed" means constraint sufficiency, not ultimate truth Gaps are classified by epistemological type, not ranked by importance The registry is a snapshot of empirical status as of January 2026 New observations can change any classification Relation to existing Literature This work draws on but differs from: Van Fraassen's empirical adequacy: ICF requires multiple independent constraints, not just observable agreement Theory succession literature (DiSalle, Norton, Friedman): ICF provides quantitative constraint tracking, not just conceptual analysis Physics validation studies: ICF creates comprehensive cross-theory comparison showing exactly where constraints exist/fail No existing work provides a complete formula-by-formula registry with explicit constraint counts and gap taxonomy. Future Extensions This registry could be extended to include: Astrophysical phenomenology (stellar structure, galactic dynamics) Condensed matter physics (superconductivity, quantum Hall effect) Atomic and molecular physics Plasma physics More detailed constraint analysis for each formula (specific experiments, error bars, historical evolution) Citation If you use this registry in your work, please cite: Sahraoui, N. (2026). ICF Formula Registry: Complete History of All Formulas by Sector.