Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Phenomenological Threshold Broadening in Action-Dependent Quantum Collapse Dynamics

Luis Ratia

Published Apr 8, 2026• 0 citations
Publisher

Abstract

This work proposes a phenomenological extension to standard open quantum system dynamics in which the effective decoherence rate depends nonlinearly on the accumulated interaction action exchanged between a quantum system and its environment. Motivated by the hypothesis that quantum state reduction may involve a critical interaction scale of order Planck’s reduced constant, a threshold-activated decoherence ansatz is introduced that produces non-exponential suppression of coherence. Under finite-width stochastic broadening, the model yields sigmoidal-like transition behavior near the critical action scale. The framework is not presented as a fundamental derivation of wave function collapse, but rather as an exploratory phenomenological model intended to investigate whether threshold-based nonlinear decoherence may offer experimentally distinguishable predictions from conventional exponential decoherence. Analytical solutions, physical interpretation, and experimental implications are discussed.

DOI
10.5281/zenodo.19476925

Related papers

Dynamics of Quantum State Reduction via Critical Interaction Action Threshold: A Threshold-Activated Collapse Framework

Luis Ratia

We propose a threshold-based physical framework for quantum state reduction in which wave function collapse occurs when the accumulated interaction action between a quantum system and a measurement environment exceeds a critical threshold of order Planck's reduced constant ($A_{c}\sim\hbar$). The model introduces a nonlinear collapse boundary governed by invariant accumulated interaction action, predicting a sigmoidal collapse law. We demonstrate compatibility with Born-rule statistics and show that the Diósi-Penrose gravitational collapse timescale emerges as a special case in the static gravitational Hamiltonian limit. The theory predicts experimentally distinguishable deviations from exponential decoherence.

•Apr 10, 2026•0 citations

Energy-Action Threshold Model for Wave Function Collapse: A Nonlinear Dynamical Framework with Experimental Signatures.

Luis Ratia

We propose a phenomenological model for wave function collapse based on accumulated interaction action ($A$) between a quantum system and its environment. Collapse occurs when the action reaches a critical threshold of order $\hbar$, producing a nonlinear sigmoidal transition in coherence. The framework extends open quantum system dynamics and predicts measurable deviations from standard exponential decoherence, such as a "logistic shoulder" in visibility curves. The model is testable in interferometric setups and provides a physically interpretable mechanism for quantum state reduction.

•Apr 11, 2026•0 citations

Dynamics of Wave Packet Reduction via Ratia's Critical Action Threshold

Luis Ratia

This work proposes a physical mechanism for wave function collapse based on a critical action exchange threshold (A_c ≈ ħ). Unlike standard environmental decoherence models, this approach postulates a dynamic phase transition governed by the coupling energy g. Numerical simulations confirm a sigmoidal decay of interference visibility, providing a phenomenological basis for the measurement problem.

•Apr 4, 2026•0 citations

Theory of collapse of Manera in English

Giuseppe Manera

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

An Energy Dissipation Threshold Model for Wave Function Collapse in Open Quantum Systems

Luis Ratia

Abstract: The transition from a quantum superposition to a definite classical state remains one of the foundational challenges in physics. We propose a dynamical, objective reduction model where wave function collapse is driven by the exchange and dissipation of energy (Δ�dis) between a quantum system and an observer/environment. Replacing the abstract notion of "measurement" with a physical dissipation threshold (Δ�dis⋅�collapse≥ℏ/2), we demonstrate that phase coherence decay is directly coupled to energy flux. The model is integrated with the Lindblad Master Equation and Stochastic Schrödinger Equations, incorporating Planck's quantum of action (�=ℎ�) as a discrete condition for state reduction. Numerical evaluations for an isolated electron and a C60 fullerene molecule confirm that the model naturally predicts macro-localization while preserving micro-scale quantum superposition, offering a thermodynamically consistent boundary for the quantum-classical transition.

•Sep 2, 2026•0 citations

Energy Dissipation Threshold Model for Wave Function Collapse in Open Quantum Systems

Luis Ratia

The transition from a quantum superposition to a definite classical state remains one of the foundational challenges in physics. We propose a dynamical, objective reduction model where wave function collapse is driven by the exchange and dissipation of energy (∆Edis) between a quantum system and an environment/apparatus. Replacing the abstract notion of "measurement" with a physical dissipation threshold (∆Edis · τcollapse ≥ ℏ/2), we demonstrate that phase coherence decay is directly coupled to environmental energy flux. The model is integrated with the Lindblad Master Equation and Stochastic Schrödinger Equations, incorporating Planck’s quantum of action (E = hν) as a discrete condition for state reduction. Numerical evaluations for an isolated electron, a fullerene (C60) molecule, and photoelectric emission confirm that the model naturally predicts macro-localization while preserving micro-scale quantum superposition, offering a thermodynamically consistent boundary for the quantum-classical transition.

•Aug 10, 2026•0 citations
This work proposes a phenomenological extension to standard open quantum system dynamics in which the effective decoherence rate depends nonlinearly on the accumulated interaction action exchanged between a quantum system and its environment. Motivated by the hypothesis that quantum state reduction may involve a critical interaction scale of order Planck’s reduced constant, a threshold-activated decoherence ansatz is introduced that produces non-exponential suppression of coherence. Under finite-width stochastic broadening, the model yields sigmoidal-like transition behavior near the critical action scale. The framework is not presented as a fundamental derivation of wave function collapse, but rather as an exploratory phenomenological model intended to investigate whether threshold-based nonlinear decoherence may offer experimentally distinguishable predictions from conventional exponential decoherence. Analytical solutions, physical interpretation, and experimental implications are discussed.
We propose a threshold-based physical framework for quantum state reduction in which wave function collapse occurs when the accumulated interaction action between a quantum system and a measurement environment exceeds a critical threshold of order Planck's reduced constant (Ac∼ℏA_{c}\sim\hbarAc​∼ℏ). The model introduces a nonlinear collapse boundary governed by invariant accumulated interaction action, predicting a sigmoidal collapse law. We demonstrate compatibility with Born-rule statistics and show that the Diósi-Penrose gravitational collapse timescale emerges as a special case in the static gravitational Hamiltonian limit. The theory predicts experimentally distinguishable deviations from exponential decoherence.
We propose a phenomenological model for wave function collapse based on accumulated interaction action (AAA) between a quantum system and its environment. Collapse occurs when the action reaches a critical threshold of order ℏ\hbarℏ, producing a nonlinear sigmoidal transition in coherence. The framework extends open quantum system dynamics and predicts measurable deviations from standard exponential decoherence, such as a "logistic shoulder" in visibility curves. The model is testable in interferometric setups and provides a physically interpretable mechanism for quantum state reduction.
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.
Abstract: The transition from a quantum superposition to a definite classical state remains one of the foundational challenges in physics. We propose a dynamical, objective reduction model where wave function collapse is driven by the exchange and dissipation of energy (Δ�dis) between a quantum system and an observer/environment. Replacing the abstract notion of "measurement" with a physical dissipation threshold (Δ�dis⋅�collapse≥ℏ/2), we demonstrate that phase coherence decay is directly coupled to energy flux. The model is integrated with the Lindblad Master Equation and Stochastic Schrödinger Equations, incorporating Planck's quantum of action (�=ℎ�) as a discrete condition for state reduction. Numerical evaluations for an isolated electron and a C60 fullerene molecule confirm that the model naturally predicts macro-localization while preserving micro-scale quantum superposition, offering a thermodynamically consistent boundary for the quantum-classical transition.
The transition from a quantum superposition to a definite classical state remains one of the foundational challenges in physics. We propose a dynamical, objective reduction model where wave function collapse is driven by the exchange and dissipation of energy (∆Edis) between a quantum system and an environment/apparatus. Replacing the abstract notion of "measurement" with a physical dissipation threshold (∆Edis · τcollapse ≥ ℏ/2), we demonstrate that phase coherence decay is directly coupled to environmental energy flux. The model is integrated with the Lindblad Master Equation and Stochastic Schrödinger Equations, incorporating Planck’s quantum of action (E = hν) as a discrete condition for state reduction. Numerical evaluations for an isolated electron, a fullerene (C60) molecule, and photoelectric emission confirm that the model naturally predicts macro-localization while preserving micro-scale quantum superposition, offering a thermodynamically consistent boundary for the quantum-classical transition.