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Main Author: Zermeno, Ernest Darell
Format: Recurso digital
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Published: Zenodo 2025
Online Access:https://doi.org/10.5281/zenodo.15725396
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author Zermeno, Ernest Darell
author_facet Zermeno, Ernest Darell
contents <p>Wave-function collapse remains one of the most elusive aspects of quantum mechanics. While decoherence accounts for the disappearance of interference patterns, it fails to explain why only one outcome is realized in a measurement. In this work, we propose an objective collapse mechanism triggered by gravitational self-energy differences between structurally misaligned quantum states.</p> <p>We introduce a single structural parameter, theta (θ), that quantifies the misalignment across spin, phase, orbital and spatial degrees of freedom. From first-principles spinor overlaps, we derive a universal suppression function: f(θ) = cos²(θ/2). When two mass configurations are misaligned, their suppressed gravitational interaction generates a self-energy gap ΔE_G, which drives collapse after a time τ = ħ / ΔE_G.</p> <p>For micron-scale clusters in OTIMA interferometers (mass ~10⁻¹⁹ kg, separation ~100 nm), our model predicts a collapse time of approximately 50 seconds—drastically different from the predictions of GRW and Diósi–Penrose models. The collapse timescale depends directly on θ, which can be tuned in situ via radio-frequency control. This makes the model experimentally testable with existing technology.</p> <p>We also provide a one-page Supplementary Material document deriving the gravitational energy gap in full from the underlying mass distributions and structural overlap. This work bridges quantum measurement and gravity with no free parameters, offering a falsifiable framework for gravitationally induced collapse.</p>
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publishDate 2025
publisher Zenodo
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spellingShingle Structural Misalignment Triggers Gravitational Wave-Function Collapse
Zermeno, Ernest Darell
<p>Wave-function collapse remains one of the most elusive aspects of quantum mechanics. While decoherence accounts for the disappearance of interference patterns, it fails to explain why only one outcome is realized in a measurement. In this work, we propose an objective collapse mechanism triggered by gravitational self-energy differences between structurally misaligned quantum states.</p> <p>We introduce a single structural parameter, theta (θ), that quantifies the misalignment across spin, phase, orbital and spatial degrees of freedom. From first-principles spinor overlaps, we derive a universal suppression function: f(θ) = cos²(θ/2). When two mass configurations are misaligned, their suppressed gravitational interaction generates a self-energy gap ΔE_G, which drives collapse after a time τ = ħ / ΔE_G.</p> <p>For micron-scale clusters in OTIMA interferometers (mass ~10⁻¹⁹ kg, separation ~100 nm), our model predicts a collapse time of approximately 50 seconds—drastically different from the predictions of GRW and Diósi–Penrose models. The collapse timescale depends directly on θ, which can be tuned in situ via radio-frequency control. This makes the model experimentally testable with existing technology.</p> <p>We also provide a one-page Supplementary Material document deriving the gravitational energy gap in full from the underlying mass distributions and structural overlap. This work bridges quantum measurement and gravity with no free parameters, offering a falsifiable framework for gravitationally induced collapse.</p>
title Structural Misalignment Triggers Gravitational Wave-Function Collapse
url https://doi.org/10.5281/zenodo.15725396