LFIS–24: Structural Consolidation of Light Frame Cadence Theory
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| Format: | Recurso digital |
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2026
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| _version_ | 1866901969426186240 |
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| author | Beaupain, Michael John |
| author_facet | Beaupain, Michael John |
| contents | <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">Starting from cadence invariance, finite representational budget, three-mode exhaustiveness, and closure at boundary, the volume derives the contract sphere, the complete K₆ obligation graph, the binary resolution depth n = 10, the critical routing floor 1/1024, the product angular topology, and the canonical mode normalizations {1, π², 5/2}. Directed routing is derived as a theorem of closure rather than assumed.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">LFIS–24 then develops the core structural framework: the TD–TS exchange kernel, the universal crossover, the cadence-balance exponent ΔA = 1/4 with response exponent δ = 1/2, the kernel hierarchy, and the Hamiltonian formulation of mode exchange. Structural observational consequences are derived where they follow directly, but empirical benchmarking and predictive registries are deferred to companion volumes.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">This version incorporates the scaffold operator chain, including the observational selection principle, forcing kernels and dark-sector allocation, the heartbeat principle, cadence-star (limaçon) geometry, the phase projection law, and the lifecycle operator. These are presented as formal structural results within LFCT. The formal machinery developed here underpins the carrier-native CMB production model (Score 1.44, zero free parameters) detailed in companion volume LFIS-29.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19883534 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | LFIS–24: Structural Consolidation of Light Frame Cadence Theory Beaupain, Michael John Light Frame Cadence Theory, LFCT, Cadence invariance, Representational budget, Mode exhaustiveness, Angular topology, K6 combinatorics, Mathematical physics foundations, Topological invariants, Non-parameterized theory <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">Starting from cadence invariance, finite representational budget, three-mode exhaustiveness, and closure at boundary, the volume derives the contract sphere, the complete K₆ obligation graph, the binary resolution depth n = 10, the critical routing floor 1/1024, the product angular topology, and the canonical mode normalizations {1, π², 5/2}. Directed routing is derived as a theorem of closure rather than assumed.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">LFIS–24 then develops the core structural framework: the TD–TS exchange kernel, the universal crossover, the cadence-balance exponent ΔA = 1/4 with response exponent δ = 1/2, the kernel hierarchy, and the Hamiltonian formulation of mode exchange. Structural observational consequences are derived where they follow directly, but empirical benchmarking and predictive registries are deferred to companion volumes.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">This version incorporates the scaffold operator chain, including the observational selection principle, forcing kernels and dark-sector allocation, the heartbeat principle, cadence-star (limaçon) geometry, the phase projection law, and the lifecycle operator. These are presented as formal structural results within LFCT. The formal machinery developed here underpins the carrier-native CMB production model (Score 1.44, zero free parameters) detailed in companion volume LFIS-29.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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.</p> |
| title | LFIS–24: Structural Consolidation of Light Frame Cadence Theory |
| topic | Light Frame Cadence Theory, LFCT, Cadence invariance, Representational budget, Mode exhaustiveness, Angular topology, K6 combinatorics, Mathematical physics foundations, Topological invariants, Non-parameterized theory |
| url | https://doi.org/10.5281/zenodo.19883534 |