LFIS–24: Structural Consolidation of Light Frame Cadence Theory

LFIS-24 is the formal master spine of Light Frame Cadence Theory. It consolidates the axiom set (A1–A4), the principal structural derivations, and the reusable formal machinery into a single canonical infrastructure volume. Starting from the Light-Balance Reference axiom, the finite representational budget, three-mode exhaustiveness, and closure at the representability boundary, the volume derives the contract sphere, the complete K₆ obligation graph, the binary resolution depth β₁ = 10, the critical routing floor 1/1024, the product angular topology, and the canonical mode normalizations {κ_TD = 1, κ_TS = π², κ_TR = 5/2}. The per-locus cadence quantum C₀ = 1/c enters as the derived C₀ Normalization Principle rather than as a standalone axiom. Directed routing is derived as a theorem of closure rather than assumed. LFIS-24 develops the core structural framework: the TD–TS exchange kernel, the cadence-balance exponent Δ★ = 1/4 with response exponent δ = 1/2, the kernel hierarchy, the Three-Mode Redistribution Law, the Double Blow-Out Theorem, the c²–c³ resolution corollary, and the keystone identity π²/10 = c²/β₁. Structural observational consequences are derived where they follow directly; empirical benchmarking and predictive registries are deferred to companion volumes. The master spine routes through dedicated companion volumes for the architectural clusters whose canonical homes now live outside LFIS-24: the cadence-star (limaçon) geometry in LFIS-02, the phase readout law, scaffold readout envelope, and lifecycle operator in LFIS-27, the forcing kernels and dark-sector allocation in LFIS-26, the framework-extensions cluster in LFIS-30, the G-UD1 SPR ladder and nuclear-binding architecture in LFIS-31, and the universal crossover plus mass-gravity conjugacy in LFIS-35. LFIS-24 retains the canonical derivation-chain references for each, with the standalone development in the corresponding volume. The formal machinery developed here underpins the carrier-native CMB production model (Score 1.44, zero free parameters) detailed in companion volume LFIS-29 (TT capstone). This release (v2.15.0) extends the §K₆/readable-decade section with two candidate-articulation remarks at the grammar tier: a one-way/turnaround ontology of the readable-half-wave center (interpreting C₀⁵ as the directed, unreturned half of the loaded-K₆-vertex bidirectional readout, with ε-per-event pricing consistency), and a slot-count grammar reading of the π-register / linear-register split between E = c³ and E = mc² and the 1/(slots) ladder across the delta family, slice deficits, and closure exponents. Both are registered at candidate-articulation tier with the volume's standard anti-numerology guardrail. LFIS-24 serves as the central consolidation volume of the Light Frame Infrastructure Series and the primary reference for the formal machinery used in later volumes on generators, cosmological predictions, and CMB structure.