Paper D: Calibration of Holosphere Thermodynamics Fixing Constants from Vacancy–Defect Dynamics
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2026
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| _version_ | 1866902124167692288 |
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| author | Sarnowski, Michael |
| author_facet | Sarnowski, Michael |
| contents | <p>Paper D is the calibration layer for Holosphere surface thermodynamics. It takes the surface-law and bookkeeping results from Papers A–C and fixes the three constants the reporting layer needs: (1) the entropy–area coefficient η, (2) the reduced coherence temperature Θ_coh, and (3) the per-defect energy scale ε₀. First, η is conditionally normalized to the Bekenstein–Hawking area law using an explicit “entropy microcell” scale a_eff (kept distinct from the structural lattice spacing). Second, Θ_coh is defined from the measurable variance of the bounded residual drift channel ε_k in the Paper B split Δ_k = \hat{B}_k + ε_k, so Θ_coh is directly testable whenever the bounded-drift contract holds. Third, ε₀ is anchored phenomenologically by mapping the dimensionless SU(2) closure constant γ = α/(2π) (Paper 49; kinematic baseline SU(2)≅S^3 from Paper T33) to an energy-per-defect scale ε₀ = γ m_e c^2. The paper is lane-disciplined: it does not introduce new simulations, does not identify ε₀ with gate thresholds or coherence cutoffs, and does not invoke macro diffusion identifications of γ (Paper 101 scope). The result is an auditable calibration module that externally anchors the Paper C surface first-law framework while keeping ε₀ as the primary falsifiability lever pending a derived multi-scale bridge.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18815631 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper D: Calibration of Holosphere Thermodynamics Fixing Constants from Vacancy–Defect Dynamics Sarnowski, Michael Holosphere thermodynamics; calibration; surface entropy; Bekenstein–Hawking area law; entropy microcell; vacancy surface law; flux–drift decomposition; bounded residual variance; effective temperature; SU(2) holonomy; S^3 kinematics; closure constant α/(2π); Schwinger term anchor; scale-bridge; auditability; lane discipline <p>Paper D is the calibration layer for Holosphere surface thermodynamics. It takes the surface-law and bookkeeping results from Papers A–C and fixes the three constants the reporting layer needs: (1) the entropy–area coefficient η, (2) the reduced coherence temperature Θ_coh, and (3) the per-defect energy scale ε₀. First, η is conditionally normalized to the Bekenstein–Hawking area law using an explicit “entropy microcell” scale a_eff (kept distinct from the structural lattice spacing). Second, Θ_coh is defined from the measurable variance of the bounded residual drift channel ε_k in the Paper B split Δ_k = \hat{B}_k + ε_k, so Θ_coh is directly testable whenever the bounded-drift contract holds. Third, ε₀ is anchored phenomenologically by mapping the dimensionless SU(2) closure constant γ = α/(2π) (Paper 49; kinematic baseline SU(2)≅S^3 from Paper T33) to an energy-per-defect scale ε₀ = γ m_e c^2. The paper is lane-disciplined: it does not introduce new simulations, does not identify ε₀ with gate thresholds or coherence cutoffs, and does not invoke macro diffusion identifications of γ (Paper 101 scope). The result is an auditable calibration module that externally anchors the Paper C surface first-law framework while keeping ε₀ as the primary falsifiability lever pending a derived multi-scale bridge.</p> |
| title | Paper D: Calibration of Holosphere Thermodynamics Fixing Constants from Vacancy–Defect Dynamics |
| topic | Holosphere thermodynamics; calibration; surface entropy; Bekenstein–Hawking area law; entropy microcell; vacancy surface law; flux–drift decomposition; bounded residual variance; effective temperature; SU(2) holonomy; S^3 kinematics; closure constant α/(2π); Schwinger term anchor; scale-bridge; auditability; lane discipline |
| url | https://doi.org/10.5281/zenodo.18815631 |