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Testing Coherence Admissibility Bounds in Mesoscopic Interferometry: Experimental Implications of the Dodecahedron Linear String Field Hypothesis

Antonios Valamontes

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.15042.44484

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Theory of collapse of Manera in English

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Abstract The quantum-to-classical transition remains one of the most debated open problems in modern physics. While decoherence theory successfully explains the suppression of interference in many experimental regimes, a clear operational distinction between reversible decoherence and irreversible collapse is still lacking, especially in mesoscopic and macroscopic interferometric systems. In this work, we propose a phenomenological modification of the Schrödinger dynamics that introduces an entropy-dependent non-linear term driving an irreversible transition from quantum superpositions to classical states beyond a well-defined threshold. The model predicts finite collapse times that depend on experimentally accessible parameters and naturally suppresses any revival of coherence once the transition has occurred. The theory is explicitly falsifiable: if coherence is observed to revive beyond the predicted threshold (≈10⁶ effective degrees of freedom), the model is ruled out. We compare the predicted collapse times with the observed loss of coherence in a wide range of interferometric and mesoscopic experiments, including cavity QED, optomechanical systems, superconducting circuits, and molecular interferometry. In all analyzed regimes, the model reproduces the observed orders of magnitude of the characteristic decoherence or collapse times. Finally, we discuss experimental scenarios—particularly involving large molecules such as porphyrins—where the model can be directly tested and potentially distinguished from standard decoherence-only descriptions.

•Feb 6, 2026•0 citations
We present Primordial Field Theory (TCP ⊙), a non-local effective field theory where a fundamental complex scalar field Ψ(x) couples to Standard Model fields through an observer coherence functional C[Ψ](x). The theory is characterized by a Lagrangian with global U(1) symmetry, sixth-order potential allowing first-order phase transitions, and a retarded, causally propagating coherence functional. TCP reduces to the Standard Model in the limit of vanishing observer coherence (C[Ψ] → 0), introduces O(10^-3) corrections to quantum measurement probabilities dependent on neurophysiological coherence states, and predicts falsifiable deviations in delayed-choice interferometry (ΔV ~ 4 × 10^-3), Bell tests (ΔS ~ 5 × 10^-3), and molecular decoherence (ratio ~ 1.03). The coupling constant κ ~ 10^-9 J/m³ is consistent with cosmological vacuum energy density. All predictions are testable with current experimental technology using photon interferometry, entangled photon sources, and molecular matter-wave interferometry available in standard quantum optics laboratories. Version 3.2 strengthens the theoretical foundations by providing a systematic symmetry-constraint justification for the observer coherence functional C[Ψ], elevating it from a phenomenological ansatz to the canonical minimal representative of the admissible class of U(1)-covariant causal functionals.
Abstract The quantum-to-classical transition remains one of the most debated open problems in modern physics. While decoherence theory successfully explains the suppression of interference in many experimental regimes, a clear operational distinction between reversible decoherence and irreversible collapse is still lacking, especially in mesoscopic and macroscopic interferometric systems. In this work, we propose a phenomenological modification of the Schrödinger dynamics that introduces an entropy-dependent non-linear term driving an irreversible transition from quantum superpositions to classical states beyond a well-defined threshold. The model predicts finite collapse times that depend on experimentally accessible parameters and naturally suppresses any revival of coherence once the transition has occurred. The theory is explicitly falsifiable: if coherence is observed to revive beyond the predicted threshold (≈10⁶ effective degrees of freedom), the model is ruled out. We compare the predicted collapse times with the observed loss of coherence in a wide range of interferometric and mesoscopic experiments, including cavity QED, optomechanical systems, superconducting circuits, and molecular interferometry. In all analyzed regimes, the model reproduces the observed orders of magnitude of the characteristic decoherence or collapse times. Finally, we discuss experimental scenarios—particularly involving large molecules such as porphyrins—where the model can be directly tested and potentially distinguished from standard decoherence-only descriptions.