GOD Programme VII Thermodynamics from M The Three Laws, the Arrow of Time, and the Bose-Einstein-Torrado Condensate
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2026
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| _version_ | 1866901274333544448 |
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| author | Torrado-Cano, Francisco |
| author_facet | Torrado-Cano, Francisco |
| contents | <p>The Grand Unfolding—the progressive unfolding of the Torrado manifold<br>M from its fully folded initial state—is not only the cosmological model of the<br>GOD Programme: it is the geometric foundation of thermodynamics. This<br>article shows that the three laws of thermodynamics, the arrow of time, and the<br>Bose-Einstein-Torrado condensate are five consequences of a single structure:<br>the projection Π : M → Mobs acting on an infinite-dimensional manifold.<br>The first law is the conservation of the dimensional weight of the visible<br>sector of M: W4 =<br>P4<br>n=1 n · C(n) = 437/420, an exact algebra invariant (✓).<br>The second law is the irreversibility of Π: entropy grows monotonically as<br>the Grand Unfolding activates new folds, up to a finite maximum determined<br>by Wtotal (△). The third law is the geometric impossibility of inverting Π (✓).</p> <p>The arrow of time has a double origin: the non-invertibility of IFS contrac-<br>tions and the non-injectivity of Π (✓); its connection to the breaking of Jacobi</p> <p>symmetry in ZM(t) is motivated by the identification of the scale parameter<br>with the Torrado Group flow (Art. III, §3.7) but requires formal closure (△).</p> <p>CPT asymmetry emerges from the unitarity of S(M) and the Lorentzian char-<br>acter of K3 (✓). The Bose-Einstein-Torrado condensate is the state where all</p> <p>bosonic projections collapse to the base mode ψ0, with exact critical temper-<br>ature Tc(Ki) ∝ λ1(dH) · C(dH) (✓).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19866599 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | GOD Programme VII Thermodynamics from M The Three Laws, the Arrow of Time, and the Bose-Einstein-Torrado Condensate Torrado-Cano, Francisco enrollment tensor, Einstein-Torrado equations, Maxwell equations, mass-energy equivalence, wave-particle duality, Torrado bracket, enrollment principle, uncertainty principle, GOD programme. <p>The Grand Unfolding—the progressive unfolding of the Torrado manifold<br>M from its fully folded initial state—is not only the cosmological model of the<br>GOD Programme: it is the geometric foundation of thermodynamics. This<br>article shows that the three laws of thermodynamics, the arrow of time, and the<br>Bose-Einstein-Torrado condensate are five consequences of a single structure:<br>the projection Π : M → Mobs acting on an infinite-dimensional manifold.<br>The first law is the conservation of the dimensional weight of the visible<br>sector of M: W4 =<br>P4<br>n=1 n · C(n) = 437/420, an exact algebra invariant (✓).<br>The second law is the irreversibility of Π: entropy grows monotonically as<br>the Grand Unfolding activates new folds, up to a finite maximum determined<br>by Wtotal (△). The third law is the geometric impossibility of inverting Π (✓).</p> <p>The arrow of time has a double origin: the non-invertibility of IFS contrac-<br>tions and the non-injectivity of Π (✓); its connection to the breaking of Jacobi</p> <p>symmetry in ZM(t) is motivated by the identification of the scale parameter<br>with the Torrado Group flow (Art. III, §3.7) but requires formal closure (△).</p> <p>CPT asymmetry emerges from the unitarity of S(M) and the Lorentzian char-<br>acter of K3 (✓). The Bose-Einstein-Torrado condensate is the state where all</p> <p>bosonic projections collapse to the base mode ψ0, with exact critical temper-<br>ature Tc(Ki) ∝ λ1(dH) · C(dH) (✓).</p> |
| title | GOD Programme VII Thermodynamics from M The Three Laws, the Arrow of Time, and the Bose-Einstein-Torrado Condensate |
| topic | enrollment tensor, Einstein-Torrado equations, Maxwell equations, mass-energy equivalence, wave-particle duality, Torrado bracket, enrollment principle, uncertainty principle, GOD programme. |
| url | https://doi.org/10.5281/zenodo.19866599 |