Light Frame Formulas
Light Frame Cadence Theory is governed by a closed and internally consistent system of laws and formulas, identified by their S-number (S#). Together, these relations describe how cadence governs motion, curvature, horizons, and cosmology — from local dynamics to global closure.
This page serves as a conceptual and navigational index. Formal equations, symbolic definitions, and derivations are maintained separately in the Light Frame Infrastructure Series, where they are versioned, citable, and canon-locked.
Canonical Formula Reference:
Beaupain, M. (2025). LFIS–12: Light Frame Infrastructure Series — Formula Compendium (v1.1).
https://doi.org/10.5281/zenodo.18140341
How to Read This Index
Each formula is identified by an S-number (S#). The numbering reflects logical dependency, not historical order. Earlier S-laws establish cadence invariance, symmetry, and bookkeeping constraints; later S-laws apply those constraints to fields, horizons, quantum regimes, and cosmology. No law contradicts or supersedes an earlier one.
All formulas listed below are part of a single continuous framework. Together, they form a complete law structure rather than a collection of independent equations.
Formulas Index (S-Laws)
S00–S08 · Foundational Laws & Cadence Invariance
Cadence invariance, symmetry, red/blue shift structure, motion–stretch continuity, and mass–cadence coupling.
S09–S13 · Drift & Ledger Laws
Cadence drift behavior, ledger accounting, sink correction, and non-accumulating energy balance.
S14–S19 · Dynamical Projection & Relational Laws
Projection geometry, proper-time closure, round-trip relations, TS limits, and relational frame offsets.
S20–S24 · Local Dynamics & Global Closure
Local cadence scaling, velocity derivation, closure radius, and distance-limited proper-time divergence.
S25–S29 · Cadence Field Theory & Regulation
Cadence field action, scalar formulation, nonlinear response, and curvature regulation.
S30–S45 · Contract, Curvature & Global Balance
Cadence contracts, temporal depth curvature, LFR balance, acceleration laws, horizons, and off-ledger conditions.
S46–S59 · Field Theory & Structural Laws
Metric, connection, curvature tensors, geodesics, field equations, matching conditions, and structural delay.
S60–S69 · Quantum & Wave Dynamics
Cadence wave behavior, uncertainty relations, quantization, tunneling, and spectral emission.
S70–S79 · Horizon & Collapse Dynamics
Collapse and stretch horizons, phase conditions, decoherence, compression, and singularity avoidance.
S80–S89 · Black Hole & Curvature Recycling
Black-hole ledger rules, TD-limit behavior, jets, curvature recycling, stabilization, and horizon redshift.
S90–S99 · Cosmological & Observational Laws
Lensing, dilation, redshift integrals, drift cancellation, BAO scaling, supernova brightness, and Hubble slope.
S100–S110 · Global Cosmology & Closure
Ledger-imbalance cosmology, global matching, TS–TD balance, cosmic age conditions, and final closure.
Canon Status
The formulas indexed on this page reflect the Light Frame canon as of 2025-12. Updates or extensions are issued only through new or versioned Light Frame Infrastructure Series volumes. This page will track canonical structure but does not host symbolic equations.
Why This Structure Matters
- Clarity: The full law structure is visible without requiring derivations.
- Stability: Mathematics lives in versioned, citable infrastructure.
- Continuity: One cadence governs local motion, horizons, quantum behavior, and cosmology.