Paper 10: Uncertainty from Coherence: Deriving the Heisenberg Principle from Lattice Phase Constraints in the Holosphere Model
Year: 2025
Type: article
Abstract: Paper 10 shows that the Heisenberg position–momentum uncertainty relation can come from ordinary mechanics in a discrete, rotating coherence lattice. A “particle” is treated as a vacancy defect that can only move by handoff along links whose phase mismatch stays inside an admissible band. Localizing a defect forces steep phase gradients across its support, which increases phase-mismatch bandwidth and therefore momentum dispersion. From this admissibility rule plus classical strain-energy minimization, the paper derives a structural bound of the form Δx·Δp ≳ ħ_eff, with ħ_eff identified as a coherence action scale set by the phase-tension response T and the minimum coherence-preserving handoff increment a·ε_coh (ħ_eff = T a ε_coh). The paper then models measurement and decoherence as corridor connectivity failure under controlled mismatch noise injection. In 1D corridors the survival threshold follows an exact analytic extreme-value law, and simulations match the analytic prediction to numerical precision. In 2D corridors collapse becomes a bond-percolation transition of admissible edges, with finite-size scaling and thermodynamic extrapolation consistent with the classical percolation limit. Together, the results provide falsifiable signatures—thresholded visibility loss and width-dependent stability scaling—derived without operator postulates.
Author: Sarnowski, Michael
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949835237
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