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2025
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| Online Access: | https://doi.org/10.5281/zenodo.16624236 |
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| author | Greenleaf, Arie |
| author_facet | Greenleaf, Arie |
| contents | <p>Two flagship puzzles—wave-function collapse and black-hole information loss—trace to a single oversight: every physical system maintains coherence only within a finite temporal window τ. Coarse-graining the path integral over sub-τ intervals injects a universal Lindblad term Γ = γ_E + 1/τ. The result is a harmonic-mean collapse law—now supported by early picosecond-interferometry data—that predicts a detector-tunable visibility plateau. Embedding τ in Schwarzschild geometry shows that an infalling clock keeps its local τ while an exterior observer’s τ → ∞ at the horizon; the dimensionless ratio χ ≡ (H₀ τ)^−1 therefore vanishes there, driving Pattern–Temporal Synergy to zero and reproducing the Page curve and Bekenstein–Hawking entropy without firewalls, islands, or ER = EPR. The framework yields three decisive tests: (i) τ-engineering collapses in tabletop optics, (ii) a χ-driven late-time drift in Hawking spectra, and (iii) an ℓ-dependent excess damping χ ℓ⁄2 in black-hole ring-downs detectable by LISA. One parameter, one mechanism—two paradoxes resolved.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16624236 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Temporal-Coherence Loss Unifies Quantum Measurement and Black-Hole Information Greenleaf, Arie <p>Two flagship puzzles—wave-function collapse and black-hole information loss—trace to a single oversight: every physical system maintains coherence only within a finite temporal window τ. Coarse-graining the path integral over sub-τ intervals injects a universal Lindblad term Γ = γ_E + 1/τ. The result is a harmonic-mean collapse law—now supported by early picosecond-interferometry data—that predicts a detector-tunable visibility plateau. Embedding τ in Schwarzschild geometry shows that an infalling clock keeps its local τ while an exterior observer’s τ → ∞ at the horizon; the dimensionless ratio χ ≡ (H₀ τ)^−1 therefore vanishes there, driving Pattern–Temporal Synergy to zero and reproducing the Page curve and Bekenstein–Hawking entropy without firewalls, islands, or ER = EPR. The framework yields three decisive tests: (i) τ-engineering collapses in tabletop optics, (ii) a χ-driven late-time drift in Hawking spectra, and (iii) an ℓ-dependent excess damping χ ℓ⁄2 in black-hole ring-downs detectable by LISA. One parameter, one mechanism—two paradoxes resolved.</p> |
| title | Temporal-Coherence Loss Unifies Quantum Measurement and Black-Hole Information |
| url | https://doi.org/10.5281/zenodo.16624236 |