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2025
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| Online Access: | https://doi.org/10.5281/zenodo.16740342 |
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| author | Greenleaf, Arie |
| author_facet | Greenleaf, Arie |
| contents | <p>Wave-function collapse in the laboratory and the black-hole information puzzle share a hidden ingredient: every physical system can sustain phase-coherent relations only within a finite temporal window τ. Integrating out path-integral histories shorter than τ generically adds a universal Lindblad term</p> <p>\Gamma=\gamma_E+1/\tau,</p> <p>yielding the harmonic-mean collapse law that recent picosecond-scale interferometry is beginning to probe. Carrying the same τ into a Schwarzschild background shows that an infalling clock retains its local window while the exterior observer’s window is red-shifted to infinity at the horizon. The resulting dimensionless control parameter</p> <p>\chi \equiv (H_0 \tau)^{-1}</p> <p>therefore tends to zero for the outside observer, driving the cross-horizon Pattern–Temporal Synergy to vanish and reproducing the Page curve and Bekenstein–Hawking entropy without recourse to firewalls, islands, or ER = EPR identifications. Numerical lattice simulations of the theory independently confirm a universal critical point at χ_c ≈ 0.03, strengthening the case that this is a fundamental constant.</p> <p>The single parameter χ makes three falsifiable predictions:</p> <p>1. τ-engineering collapse tests in tabletop optics should trace the full harmonic-mean curve as detector jitter is swept from ≈500 ps to < 5 ps.</p> <p>2. A χ-dependent late-time drift in Hawking spectra should emerge as black-hole mass decreases.</p> <p>3. Black-hole ring-down modes acquire an excess damping (\chi\,\ell)/2 that the Laser Interferometer Space Antenna (LISA) can measure for high-multipole overtones.</p> <p>One mechanism, one parameter—two long-standing paradoxes placed within experimental reach.</p> <p> </p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16740342 |
| institution | Zenodo |
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| publishDate | 2025 |
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| spellingShingle | Temporal-Coherence Loss Unifies Quantum Measurement and Black-Hole Information Greenleaf, Arie <p>Wave-function collapse in the laboratory and the black-hole information puzzle share a hidden ingredient: every physical system can sustain phase-coherent relations only within a finite temporal window τ. Integrating out path-integral histories shorter than τ generically adds a universal Lindblad term</p> <p>\Gamma=\gamma_E+1/\tau,</p> <p>yielding the harmonic-mean collapse law that recent picosecond-scale interferometry is beginning to probe. Carrying the same τ into a Schwarzschild background shows that an infalling clock retains its local window while the exterior observer’s window is red-shifted to infinity at the horizon. The resulting dimensionless control parameter</p> <p>\chi \equiv (H_0 \tau)^{-1}</p> <p>therefore tends to zero for the outside observer, driving the cross-horizon Pattern–Temporal Synergy to vanish and reproducing the Page curve and Bekenstein–Hawking entropy without recourse to firewalls, islands, or ER = EPR identifications. Numerical lattice simulations of the theory independently confirm a universal critical point at χ_c ≈ 0.03, strengthening the case that this is a fundamental constant.</p> <p>The single parameter χ makes three falsifiable predictions:</p> <p>1. τ-engineering collapse tests in tabletop optics should trace the full harmonic-mean curve as detector jitter is swept from ≈500 ps to < 5 ps.</p> <p>2. A χ-dependent late-time drift in Hawking spectra should emerge as black-hole mass decreases.</p> <p>3. Black-hole ring-down modes acquire an excess damping (\chi\,\ell)/2 that the Laser Interferometer Space Antenna (LISA) can measure for high-multipole overtones.</p> <p>One mechanism, one parameter—two long-standing paradoxes placed within experimental reach.</p> <p> </p> <p> </p> |
| title | Temporal-Coherence Loss Unifies Quantum Measurement and Black-Hole Information |
| url | https://doi.org/10.5281/zenodo.16740342 |