| _version_ | 1866902095172468736 |
|---|---|
| author | Beaupain, Michael John |
| author_facet | Beaupain, Michael John |
| contents | <div class="flex-1 flex flex-col px-4 max-w-3xl mx-auto w-full pt-1"> <div> <div class="group"> <div class="group relative relative pb-3"> <div class="font-claude-response relative leading-[1.65rem] [&_pre>div]:bg-bg-000/50 [&_pre>div]:border-0.5 [&_pre>div]:border-border-400 [&_.ignore-pre-bg>div]:bg-transparent [&_.standard-markdown_:is(p,blockquote,h1,h2,h3,h4,h5,h6)]:pl-2 [&_.standard-markdown_:is(p,blockquote,ul,ol,h1,h2,h3,h4,h5,h6)]:pr-8 [&_.progressive-markdown_:is(p,blockquote,h1,h2,h3,h4,h5,h6)]:pl-2 [&_.progressive-markdown_:is(p,blockquote,ul,ol,h1,h2,h3,h4,h5,h6)]:pr-8"> <div class="mt-4"> <div class="grid grid-rows-[auto_auto] min-w-0"> <div class="row-start-2 col-start-1 relative grid isolate min-w-0"> <div class="row-start-1 col-start-1 relative z-[2] min-w-0"> <div class="standard-markdown grid-cols-1 grid [&_>_*]:min-w-0 gap-3 standard-markdown"> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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 class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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 class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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 class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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 class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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. The accompanying Readout Projection Principle formalises the dimensional reduction: a quantity carried by full three-mode support, observed through the 1D light readout, inherits the N_modes-th root of the binary representational scaling (factor 2^{1/3} under axiom A3). This provides a unified interpretation of the two-fabric mismatch and related observational effects as consequences of projection through the light fabric.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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. A formal hybrid damping envelope section derives the zero-parameter damping function from cadence-kernel decay and spectral-gap scaling.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19535277 |
| 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 <div class="flex-1 flex flex-col px-4 max-w-3xl mx-auto w-full pt-1"> <div> <div class="group"> <div class="group relative relative pb-3"> <div class="font-claude-response relative leading-[1.65rem] [&_pre>div]:bg-bg-000/50 [&_pre>div]:border-0.5 [&_pre>div]:border-border-400 [&_.ignore-pre-bg>div]:bg-transparent [&_.standard-markdown_:is(p,blockquote,h1,h2,h3,h4,h5,h6)]:pl-2 [&_.standard-markdown_:is(p,blockquote,ul,ol,h1,h2,h3,h4,h5,h6)]:pr-8 [&_.progressive-markdown_:is(p,blockquote,h1,h2,h3,h4,h5,h6)]:pl-2 [&_.progressive-markdown_:is(p,blockquote,ul,ol,h1,h2,h3,h4,h5,h6)]:pr-8"> <div class="mt-4"> <div class="grid grid-rows-[auto_auto] min-w-0"> <div class="row-start-2 col-start-1 relative grid isolate min-w-0"> <div class="row-start-1 col-start-1 relative z-[2] min-w-0"> <div class="standard-markdown grid-cols-1 grid [&_>_*]:min-w-0 gap-3 standard-markdown"> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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 class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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 class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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 class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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 class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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. The accompanying Readout Projection Principle formalises the dimensional reduction: a quantity carried by full three-mode support, observed through the 1D light readout, inherits the N_modes-th root of the binary representational scaling (factor 2^{1/3} under axiom A3). This provides a unified interpretation of the two-fabric mismatch and related observational effects as consequences of projection through the light fabric.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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. A formal hybrid damping envelope section derives the zero-parameter damping function from cadence-kernel decay and spectral-gap scaling.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">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> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> |
| 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.19535277 |