LFIS–25: Generators, Routing Fabric, and Representational Cascade
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| Natura: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866902096350019584 |
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| author | Beaupain, Michael John |
| author_facet | Beaupain, Michael John |
| contents | <p>LFIS–25 extends the formal spine of Light Frame Cadence Theory (LFCT) into the cosmological domain. Building directly on LFIS–24, it derives the generator mechanism, the three-horizon hierarchy, the representational cascade, and the routing fabric as structural consequences of the axiom set, without introducing new axioms or empirical fitting.</p> <p>The volume establishes two generators. The first (G1) derives the total representational span from closure rank, binary resolution depth, and three-mode admissibility, producing a structurally fixed logarithmic horizon scale. The second (G2) introduces the dimensional anchor through the Planck scale and angular normalization, yielding a fully derived representational horizon. Together these produce a three-horizon hierarchy that distinguishes geometric, representational, and torsion-corrected scales.</p> <p>LFIS–25 then derives the representational cascade: TD relaxes first, TS second, and TR persists at the boundary. This produces two characteristic radii in galaxies and identifies the cosmological horizon as a representability boundary rather than a dynamical one. Routing-only fabric emerges in void-dominated regions, leading to a unified routing formalism and an exponential redshift law.</p> <p>The volume introduces the fabric index F as the common structural variable linking scaffold rank, curvature capacity, and thermal activation. From this it derives the curvature-doubling rule, connects the thermal ladder to mode activation, and produces the electroweak crossover as a consequence of curvature doubling and routing regulation.</p> <p>A central result is the Representational Mesh Readout Principle: all observables are read through the light mesh (TS and TR), with TD entering only as a structural residual. This provides a unified interpretation of the two-fabric mismatch and related observational effects as consequences of projection through the light fabric.</p> <p>LFIS–25 also formalizes closure, stored curvature, and the inward horizon, establishing a three-layer ontology (mass, gravity, and participation) and deriving boundary laws governing TS winding, TR continuity, and the TS–TD balance point.</p> <p>This volume serves as the canonical extension layer of the Light Frame Infrastructure Series, connecting the abstract structural spine (LFIS–24) to cosmological scales, horizon structure, and observable routing behavior.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19430744 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | LFIS–25: Generators, Routing Fabric, and Representational Cascade Beaupain, Michael John Light Frame Cadence Theory; LFCT; cadence geometry; contract sphere; three-mode framework; TD TS TR modes; wrapping map; routing fabric; horizon structure; generator framework; representational cascade; structural cosmology; geometric physics; non-parameterized theory; foundational physics <p>LFIS–25 extends the formal spine of Light Frame Cadence Theory (LFCT) into the cosmological domain. Building directly on LFIS–24, it derives the generator mechanism, the three-horizon hierarchy, the representational cascade, and the routing fabric as structural consequences of the axiom set, without introducing new axioms or empirical fitting.</p> <p>The volume establishes two generators. The first (G1) derives the total representational span from closure rank, binary resolution depth, and three-mode admissibility, producing a structurally fixed logarithmic horizon scale. The second (G2) introduces the dimensional anchor through the Planck scale and angular normalization, yielding a fully derived representational horizon. Together these produce a three-horizon hierarchy that distinguishes geometric, representational, and torsion-corrected scales.</p> <p>LFIS–25 then derives the representational cascade: TD relaxes first, TS second, and TR persists at the boundary. This produces two characteristic radii in galaxies and identifies the cosmological horizon as a representability boundary rather than a dynamical one. Routing-only fabric emerges in void-dominated regions, leading to a unified routing formalism and an exponential redshift law.</p> <p>The volume introduces the fabric index F as the common structural variable linking scaffold rank, curvature capacity, and thermal activation. From this it derives the curvature-doubling rule, connects the thermal ladder to mode activation, and produces the electroweak crossover as a consequence of curvature doubling and routing regulation.</p> <p>A central result is the Representational Mesh Readout Principle: all observables are read through the light mesh (TS and TR), with TD entering only as a structural residual. This provides a unified interpretation of the two-fabric mismatch and related observational effects as consequences of projection through the light fabric.</p> <p>LFIS–25 also formalizes closure, stored curvature, and the inward horizon, establishing a three-layer ontology (mass, gravity, and participation) and deriving boundary laws governing TS winding, TR continuity, and the TS–TD balance point.</p> <p>This volume serves as the canonical extension layer of the Light Frame Infrastructure Series, connecting the abstract structural spine (LFIS–24) to cosmological scales, horizon structure, and observable routing behavior.</p> |
| title | LFIS–25: Generators, Routing Fabric, and Representational Cascade |
| topic | Light Frame Cadence Theory; LFCT; cadence geometry; contract sphere; three-mode framework; TD TS TR modes; wrapping map; routing fabric; horizon structure; generator framework; representational cascade; structural cosmology; geometric physics; non-parameterized theory; foundational physics |
| url | https://doi.org/10.5281/zenodo.19430744 |