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| Language: | English |
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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19039669 |
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| author | Yücel, Ali Caner |
| author_facet | Yücel, Ali Caner |
| contents | <p><span>We present the canonical kernel paper of the finite-capacity latency–erasure theory (FCLET), designed to freeze the common mathematical backbone underlying its weak-field, cosmological, perturbative, wave-propagation, thermodynamic, strong-field, laboratory, and microphysical sectors. Earlier FCLET manuscripts developed these sectors in substantial detail, but the program now requires a single notation-stable, theorem-oriented reference document that states the shared variables, recovery limits, source hierarchy, admissibility conditions, descendant maps, and branch logic in one place. The present manuscript provides that reference.</span></p> <p><span>The purpose of this paper is not to replace the sectoral papers, but to prevent cross-paper ambiguity. We define the canonical latency variable, the bounded load map, the proper-time law, the source decomposition, the effective parameter vector, the recovery branch, the strong-field saturation branch, and the microphysical-to-macroscopic reduction map. We then formulate the core admissibility conditions—kinetic positivity, bounded load, recovery continuity, screened weak-field regularity, perturbative stability, radiative cleanliness, thermodynamic non-negativity, and strong-field matching discipline—and collect them into a theorem-style consistency sheet. We also define the precise meaning of trivial survival, nontrivial survival, exclusion, and cross-sector failure.</span></p> <p><span>This manuscript is intentionally critic-facing. It is written to answer the strongest structural objection to a large research program: that too many sectoral papers may create the appearance of unity without a frozen mathematical core. The present work removes that objection by providing one canonical kernel, one parameter dictionary, one admissibility architecture, and one branch taxonomy for the entire FCLET corpus.</span></p> <p><strong><span>Keywords:</span></strong><span> effective theory, canonical variables, admissibility, recovery limit, source hierarchy, modified gravity, finite-capacity universe, theorem sheet, branch structure, FCLET</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19039669 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Canonical Kernel and Theorem Sheet of the Finite-Capacity Latency–Erasure Theory Unified Variables, Recovery Limits, Source Hierarchy, Admissibility Conditions, and Cross-Sector Consistency for a Multi-Regime Effective Physical Program Yücel, Ali Caner effective theory, canonical variables, admissibility, recovery limit, source hierarchy, modified gravity, finite-capacity universe, theorem sheet, branch structure, FCLET <p><span>We present the canonical kernel paper of the finite-capacity latency–erasure theory (FCLET), designed to freeze the common mathematical backbone underlying its weak-field, cosmological, perturbative, wave-propagation, thermodynamic, strong-field, laboratory, and microphysical sectors. Earlier FCLET manuscripts developed these sectors in substantial detail, but the program now requires a single notation-stable, theorem-oriented reference document that states the shared variables, recovery limits, source hierarchy, admissibility conditions, descendant maps, and branch logic in one place. The present manuscript provides that reference.</span></p> <p><span>The purpose of this paper is not to replace the sectoral papers, but to prevent cross-paper ambiguity. We define the canonical latency variable, the bounded load map, the proper-time law, the source decomposition, the effective parameter vector, the recovery branch, the strong-field saturation branch, and the microphysical-to-macroscopic reduction map. We then formulate the core admissibility conditions—kinetic positivity, bounded load, recovery continuity, screened weak-field regularity, perturbative stability, radiative cleanliness, thermodynamic non-negativity, and strong-field matching discipline—and collect them into a theorem-style consistency sheet. We also define the precise meaning of trivial survival, nontrivial survival, exclusion, and cross-sector failure.</span></p> <p><span>This manuscript is intentionally critic-facing. It is written to answer the strongest structural objection to a large research program: that too many sectoral papers may create the appearance of unity without a frozen mathematical core. The present work removes that objection by providing one canonical kernel, one parameter dictionary, one admissibility architecture, and one branch taxonomy for the entire FCLET corpus.</span></p> <p><strong><span>Keywords:</span></strong><span> effective theory, canonical variables, admissibility, recovery limit, source hierarchy, modified gravity, finite-capacity universe, theorem sheet, branch structure, FCLET</span></p> |
| title | Canonical Kernel and Theorem Sheet of the Finite-Capacity Latency–Erasure Theory Unified Variables, Recovery Limits, Source Hierarchy, Admissibility Conditions, and Cross-Sector Consistency for a Multi-Regime Effective Physical Program |
| topic | effective theory, canonical variables, admissibility, recovery limit, source hierarchy, modified gravity, finite-capacity universe, theorem sheet, branch structure, FCLET |
| url | https://doi.org/10.5281/zenodo.19039669 |