Universal Tension-Driven Lattice: A Deterministic Mechanical Resolution to the Double-Slit Measurement Problem via Non-Linear Vacuum Acoustics

WILLIAM OLIVER RUBIN

Published Mar 21, 2026• 0 citations

Abstract

The collapse of the wavefunction upon measurement remains the central ontological paradox of quantum mechanics. We present a deterministic, mechanical resolution to the measurement problem via the Universal Tension-Driven Lattice (UTDL). By modeling the vacuum as a non-linear elastic solid governed by a Duffing potential (F = −k₀u − αu³), we demonstrate that a quantum particle is a bi-modal acoustic structure: a high-amplitude, non-linear soliton core guided by a low-amplitude, linear pilot wave. Using a CUDA-accelerated 3D Finite Difference Time Domain (FDTD) simulation, we prove that standard linear detectors physically destroy interference by acting as broadband acoustic dampers, phase-scrambling the pilot wave. Conversely, we introduce a non-linear topological detector, threshold-gated via a first-order IIR temporal high-pass filter to the discrete breather frequency gap (ω > ωmax). Using a calibration pre-run to account for 3D geometric dispersion, we prove that path-measurement does not inherently destroy wave interference if the instrument’s impedance is analytically matched to the vacuum’s non-linear frequency band edge. Results are validated via Michelson visibility metrics and 3D time-averaged power projections.

DOI: 10.5281/zenodo.19154529

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