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| Autor principal: | |
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| Formato: | Recurso digital |
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Zenodo
2026
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| Acesso em linha: | https://doi.org/10.5281/zenodo.19323563 |
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Sumário:
- <p>Abstract<br>We formalize the computational rules of the rendering algebra R12 ∼= M3(C) ⊗<br>M4(C) that generate all Array Cosmology predictions. Four computational tools determine the numerical value of any AC observable: (1) a representation assignment theorem classifying observables into six exhaustive types, each with a uniquely determined Landauer denominator; (2) a Casimir–dimension duality distinguishing<br>the confined sector (Casimir eigenvalue) from the unconfined sector (dimension ratio); (3) a Landauer linearity principle proving that single-erasure observables are exactly linear in the rendering friction Z; and (4) a representation-theoretic derivation of the lepton mass coefficient f(1) = 5 from dim(su(4))/ dim(∧2C4) = 5/2.<br>Four structural verification tools establish the internal consistency of the framework: (5) the product structure Z = (π−3) ln 2 derived from sequential conditional probability; (6) the uniqueness of the M3 ⊗ M4 decomposition from the two-factor<br>theorem; (7) a completeness check showing all </p>