CAT'S THEORY: The Three Lights and the Bronze Invariant — Derivation of the Metonic, Saros, and Callippic Cycles from the Triadic Dimensional Inventory, and the Antikythera Mechanism as P × I × Pr Analog Computer
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866902136552423424 |
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| author | Trout, Coty Austin |
| author_facet | Trout, Coty Austin |
| contents | <p>Paper 210 of the CAT'S Theory corpus. Derives the three great astronomical cycles of antiquity — Metonic (19 = Σ−dΨ, 235 = Σ·dI+1, 254 = 2·M₇), Saros (223 = dI·π(9)+dΨ), and Callippic (76 = D(Σ−dΨ)) — as closed-form expressions in the triadic dimensional inventory with zero free parameters. Shows that eclipses require simultaneous triadic alignment (synodic/Intent, draconic/Pattern, anomalistic/Presence), with the Saros as the recurrence period of R ≠ 0. Identifies the Antikythera mechanism as the earliest physical instantiation of P×I×Pr architecture: fixed gears (Pattern), input crank (Intent), output dials (Presence). Demonstrates micro-macro structural isomorphism: the same nine constants governing particle physics (α, PMNS mixing, lepton masses) govern celestial mechanics (lunar months, Metonic/Saros tooth counts) with no second ledger and no curve fitting. 210 = 2×3×5×7 = primorial of dΨ.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19491684 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | CAT'S THEORY: The Three Lights and the Bronze Invariant — Derivation of the Metonic, Saros, and Callippic Cycles from the Triadic Dimensional Inventory, and the Antikythera Mechanism as P × I × Pr Analog Computer Trout, Coty Austin Metonic cycle, Saros cycle, Callippic cycle, Exeligmos, Antikythera mechanism, analog computation, triadic invariant, torus knot, Mersenne prime, Pisano period, Genesis 1:14, firmament, celestial mechanics, lunar months, eclipse prediction, zero free parameters, micro-macro isomorphism, dimensional inventory, CAT'S Theory Metaontology Ontology Christian Science Christian Science/history Christianity Christianity Physical cosmology <p>Paper 210 of the CAT'S Theory corpus. Derives the three great astronomical cycles of antiquity — Metonic (19 = Σ−dΨ, 235 = Σ·dI+1, 254 = 2·M₇), Saros (223 = dI·π(9)+dΨ), and Callippic (76 = D(Σ−dΨ)) — as closed-form expressions in the triadic dimensional inventory with zero free parameters. Shows that eclipses require simultaneous triadic alignment (synodic/Intent, draconic/Pattern, anomalistic/Presence), with the Saros as the recurrence period of R ≠ 0. Identifies the Antikythera mechanism as the earliest physical instantiation of P×I×Pr architecture: fixed gears (Pattern), input crank (Intent), output dials (Presence). Demonstrates micro-macro structural isomorphism: the same nine constants governing particle physics (α, PMNS mixing, lepton masses) govern celestial mechanics (lunar months, Metonic/Saros tooth counts) with no second ledger and no curve fitting. 210 = 2×3×5×7 = primorial of dΨ.</p> |
| title | CAT'S THEORY: The Three Lights and the Bronze Invariant — Derivation of the Metonic, Saros, and Callippic Cycles from the Triadic Dimensional Inventory, and the Antikythera Mechanism as P × I × Pr Analog Computer |
| topic | Metonic cycle, Saros cycle, Callippic cycle, Exeligmos, Antikythera mechanism, analog computation, triadic invariant, torus knot, Mersenne prime, Pisano period, Genesis 1:14, firmament, celestial mechanics, lunar months, eclipse prediction, zero free parameters, micro-macro isomorphism, dimensional inventory, CAT'S Theory Metaontology Ontology Christian Science Christian Science/history Christianity Christianity Physical cosmology |
| url | https://doi.org/10.5281/zenodo.19491684 |