The Acosta Energy Conservation Law in TVS23: Cosmological Constant and Vacuum Energy Partition from Dodecahedral Geometry

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Autor principal: ACOSTA PADILLA, ALFREDO LUIS
Formato: Recurso digital
Publicado: Zenodo 2026
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author ACOSTA PADILLA, ALFREDO LUIS
author_facet ACOSTA PADILLA, ALFREDO LUIS
contents <p>We derive the Acosta Energy Conservation Law within the Structured Vacuum Theory TVS23, in which the universe is modelled as a finite dodecahedral elastic network V₂₃. Using Noether's theorem applied to the TVS23 Lagrangian — which has no explicit time dependence — we show that total energy partitions exactly into geometric confinement energy (fixed by the angular deficit δ = π/2 − 3·arctan(1/2) and the plastic constant ρ) and dynamic energy (matter, radiation, cosmological constant). The cosmological constant is derived from the channel structure: Λ = (4/23²)·2·137/R_H², giving 1.0996×10⁻⁵² m⁻² (observed: 1.100×10⁻⁵², error 0.03%). From this we derive Ω_Λ = 8α⁻¹/(3N²) = 8×137/(3×529) = 0.6906 (observed: 0.690, error 0.09%), and the exact ratio Ω_b/Ω_Λ = 0.0710. Cosmological redshift is not energy loss but internal transfer from electromagnetic radiation (E_CMB) to network curvature (E_Λ) via the 4 gravitational channels, closing a self-sustaining cycle. The universe is a closed system. Dark energy is not a substance — it is the elastic curvature of a finite dodecahedral lattice. Zero free parameters.</p>
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id zenodo_https___doi_org_10_5281_zenodo_19927632
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publishDate 2026
publisher Zenodo
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spellingShingle The Acosta Energy Conservation Law in TVS23: Cosmological Constant and Vacuum Energy Partition from Dodecahedral Geometry
ACOSTA PADILLA, ALFREDO LUIS
TVS23, Acosta conservation law, cosmological constant, dark energy, Noether theorem, dodecahedral vacuum, Omega_Lambda, vacuum energy partition, structured vacuum, cosmological redshift, channel geometry, A5 symmetry
Physical Sciences → Physics → Theoretical Physics Physical Sciences → Physics → Mathematical Physics Astrophysics → Cosmology and Nongalactic Astrophysics
<p>We derive the Acosta Energy Conservation Law within the Structured Vacuum Theory TVS23, in which the universe is modelled as a finite dodecahedral elastic network V₂₃. Using Noether's theorem applied to the TVS23 Lagrangian — which has no explicit time dependence — we show that total energy partitions exactly into geometric confinement energy (fixed by the angular deficit δ = π/2 − 3·arctan(1/2) and the plastic constant ρ) and dynamic energy (matter, radiation, cosmological constant). The cosmological constant is derived from the channel structure: Λ = (4/23²)·2·137/R_H², giving 1.0996×10⁻⁵² m⁻² (observed: 1.100×10⁻⁵², error 0.03%). From this we derive Ω_Λ = 8α⁻¹/(3N²) = 8×137/(3×529) = 0.6906 (observed: 0.690, error 0.09%), and the exact ratio Ω_b/Ω_Λ = 0.0710. Cosmological redshift is not energy loss but internal transfer from electromagnetic radiation (E_CMB) to network curvature (E_Λ) via the 4 gravitational channels, closing a self-sustaining cycle. The universe is a closed system. Dark energy is not a substance — it is the elastic curvature of a finite dodecahedral lattice. Zero free parameters.</p>
title The Acosta Energy Conservation Law in TVS23: Cosmological Constant and Vacuum Energy Partition from Dodecahedral Geometry
topic TVS23, Acosta conservation law, cosmological constant, dark energy, Noether theorem, dodecahedral vacuum, Omega_Lambda, vacuum energy partition, structured vacuum, cosmological redshift, channel geometry, A5 symmetry
Physical Sciences → Physics → Theoretical Physics Physical Sciences → Physics → Mathematical Physics Astrophysics → Cosmology and Nongalactic Astrophysics
url https://doi.org/10.5281/zenodo.19927632