LFIS–24: Structural Consolidation of Light Frame Cadence Theory
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| Format: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901965784481792 |
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| author | Beaupain, Michael John |
| author_facet | Beaupain, Michael John |
| contents | <p>LFIS–24 consolidates the structural spine of Light Frame Cadence Theory into a single self-contained infrastructure volume. Its purpose is to gather the axiom set, contract-sphere geometry, closure graph, transport laws, angular topology, kernel hierarchy, universal crossover, and Hamiltonian structure into one canonical derivation chain. The volume introduces no empirical fitting and states no observational predictions; those are deferred to LFIS–25 and LFIS–26.</p> <p>The volume begins from the five-axiom LFCT spine and derives the two-layer architecture of the framework. At the universal geometric level, three-mode exhaustiveness and quadratic budget closure force the contract sphere, six mode-orientation vertices, the product angular topology, the S3 representation hierarchy, and the so(3) exchange algebra. At the LFCT-specialized level, closure at the representability boundary yields the complete K6 obligation graph, directed routing forces acyclic transport and antipodal angular identification, and the resulting spectral and topological structure fixes the canonical normalizations {1, π², 5/2}, the 6/5 correction, the binary resolution depth n = 10, and the threshold Gcrit = 1/1024.</p> <p>LFIS–24 then derives the canonical TD–TS exchange kernel, the universal crossover scale a₀, the cadence-balance exponent ΔA = 1/4 with response exponent δ = 1/2, the three-tier kernel hierarchy, the consistency triangle linking a₀, R* , and global torsional period, and the Hamiltonian formulation of mode exchange on the contract sphere. It concludes with a full derivation chain and status table. LFIS–24 therefore serves as the master structural consolidation volume of the Light Frame Infrastructure Series, with LFIS–25 extending the framework into generators, horizons, routing fabric, and representational cascade, and LFIS–26 collecting the predictive registry and empirical consequences.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18902900 |
| institution | Zenodo |
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| 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>LFIS–24 consolidates the structural spine of Light Frame Cadence Theory into a single self-contained infrastructure volume. Its purpose is to gather the axiom set, contract-sphere geometry, closure graph, transport laws, angular topology, kernel hierarchy, universal crossover, and Hamiltonian structure into one canonical derivation chain. The volume introduces no empirical fitting and states no observational predictions; those are deferred to LFIS–25 and LFIS–26.</p> <p>The volume begins from the five-axiom LFCT spine and derives the two-layer architecture of the framework. At the universal geometric level, three-mode exhaustiveness and quadratic budget closure force the contract sphere, six mode-orientation vertices, the product angular topology, the S3 representation hierarchy, and the so(3) exchange algebra. At the LFCT-specialized level, closure at the representability boundary yields the complete K6 obligation graph, directed routing forces acyclic transport and antipodal angular identification, and the resulting spectral and topological structure fixes the canonical normalizations {1, π², 5/2}, the 6/5 correction, the binary resolution depth n = 10, and the threshold Gcrit = 1/1024.</p> <p>LFIS–24 then derives the canonical TD–TS exchange kernel, the universal crossover scale a₀, the cadence-balance exponent ΔA = 1/4 with response exponent δ = 1/2, the three-tier kernel hierarchy, the consistency triangle linking a₀, R* , and global torsional period, and the Hamiltonian formulation of mode exchange on the contract sphere. It concludes with a full derivation chain and status table. LFIS–24 therefore serves as the master structural consolidation volume of the Light Frame Infrastructure Series, with LFIS–25 extending the framework into generators, horizons, routing fabric, and representational cascade, and LFIS–26 collecting the predictive registry and empirical consequences.</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.18902900 |