Information-driven Recomposition of Quantum States (IRQS): A Phenomenological Model of Objective State Reduction in Open Quantum Systems with Proof-of-Concept Numerical Simulations
We present the IRQS hypothesis, a phenomenological extension of standard non-relativistic quantum mechanics and the Lindblad open-systems formalism. IRQS retains unitary and Lindblad evolution below a critical threshold and introduces an additional postulate of objective reduction: instantaneous Born-rule projection occurs when the local rate of growth of the entanglement entropy of a subsystem exceeds a universal constant. The model eliminates the external observer from the measurement postulate, provides a quantitative local criterion (structurally similar to, but mechanistically distinct from, GRW and Diósi–Penrose models), and yields falsifiable predictions distinguishing it from standard decoherence theory: step-like jumps in fringe visibility and in the second-order correlation function at calculable photon-number thresholds, as well as abrupt termination of coherence in trapped-ion and SPDC platforms. We derive the threshold-interaction estimate, discuss the epistemic status of each level of the model, and propose concrete experimental protocols for measuring the universal constant in existing ytterbium ion-trap and optical SPDC setups.
We present the IRQS hypothesis, a phenomenological extension of standard non-relativistic quantum mechanics and the Lindblad open-systems formalism. IRQS retains unitary and Lindblad evolution below a critical threshold and introduces an additional postulate of objective reduction: instantaneous Born-rule projection occurs when the local rate of growth of the entanglement entropy of a subsystem exceeds a universal constant. The model eliminates the external observer from the measurement postulate, provides a quantitative local criterion (structurally similar to, but mechanistically distinct from, GRW and Diósi–Penrose models), and yields falsifiable predictions distinguishing it from standard decoherence theory: step-like jumps in fringe visibility and in the second-order correlation function at calculable photon-number thresholds, as well as abrupt termination of coherence in trapped-ion and SPDC platforms. We derive the threshold-interaction estimate, discuss the epistemic status of each level of the model, and propose concrete experimental protocols for measuring the universal constant in existing ytterbium ion-trap and optical SPDC setups.
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∼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.
Abstract The quantum measurement problem arises from the coexistence of unitary Schr¨odinger evolution with the apparent nonunitary collapse of quantum states during observation. Despite extensive theoretical development, no consensus has been reached on a microscopic physical mechanism for state reduction within standard quantum theory. In this work, we present a complete dynamical theory of quantum measurement in which wavefunction collapse emerges from irreversible information transfer and entropy production in realistic system–detector–environment interactions. Starting from microscopic Hamiltonian models, we derive a stochastic nonlinear evolution equation for conditioned quantum states without introducing additional axioms or phenomenological parameters. We demonstrate that the effective collapse rate is uniquely determined by environmental entropy production and remains well-defined in thermal, non-Markovian, chaotic, and zero-temperature regimes. Using stochastic calculus and martingale theory, we establish the dynamical emergence of the Born probability rule and prove almost-sure convergence of measurement trajectories to definite outcomes. The theory exhibits robust many-body amplification, universal behavior in nonlinear detectors, and mathematical well-posedness in both finite- and infinite-dimensional settings. Compatibility with algebraic quantum field theory, renormalization theory, and stochastic semiclassical gravity is established, ensuring consistency with relativistic and high-energy physics. Extensive numerical simulations confirm analytical predictions, and a comprehensive experimental program is proposed, together with rigorous validation and replication protocols. Logical analysis demonstrates compatibility with Bell nonlocality, resolution of Wigner’s friend and Frauchiger–Renner paradoxes, and compliance with information-theoretic constraints. These results provide a unified physical explanation of quantum measurement as an emergent nonequilibrium process governed by universal thermodynamic and informational principles, integrating state reduction into the standard dynamical framework of physics.
We propose the Informational Geodesic Collapse Theory (IGCT), a stochastic extension of the projection postulate of quantum mechanics in which the rate of dynamical reduction of the state vector is not a universal parameter coupled solely to the system’s mass — as in Continuous Spontaneous Localization (CSL) and Ghirardi–Rimini–Weber (GRW) models — but a geometrically defined quantity, computed from the Ricci scalar curvature of the Bures–Uhlmann metric induced on the manifold of reduced states of a subsystem, weighted by its von Neumann entanglement entropy. The construction builds upon the already established formalism of the geometrization of quantum mechanics (projective Hilbert space as a Kähler manifold, unitary dynamics as a Hamiltonian flow) and grafts onto it a stochastic diffusion term whose coefficient — the informational curvature scalar KA(ψ) — vanishes identically for product states and grows with the degree of entanglement of the considered subsystem. We rigorously demonstrate (i) that the proposed stochastic equation preserves the norm of the state vector for any nonnegative and adapted choice of KA(ψt); (ii) that, in the limit where KA is held constant, the theory reduces exactly to the standard CSL model, inheriting its linear master equation and its proof of no superluminal signaling; (iii) that, for a two-level subsystem, the Bures metric is a space of constant scalar curvature (R = 24, isometric to a hemisphere of S 3 of radius 1/2), a result obtained by direct symbolic computation, from which it follows that KA is, in this case, strictly proportional to the entanglement entropy; and (iv), as a novel extension of this work, that for a three-level subsystem (qutrit) the scalar curvature of the isospectral leaf of the Bures metric — the flag manifold SU(3)/U(1)2 equipped with the induced metric — is not constant, having been exactly computed (via Lie algebra verified symbolically and numerically validated against the qubit case) at representative points of the eigenvalue space, with exact values between ≈ 191 and ≈ 3120 (in natural units) and a divergence as the state approaches the maximally mixed state. Complementarily, we perform a Monte Carlo stochastic simulation of Eq. (6) that numerically confirms, with excellent agreement with the analytical prediction e −2λKAt, that a highly entangled subsystem (Bell pair, KA = 24 ln 2) loses interference visibility at a rate about 330 times larger than a subsystem of identical mass and residual entanglement, numerically isolating the theory’s central phenomenological signature. Thus, the theory predicts an objective collapse rate that depends not only on mass but on the internal entanglement structure of the system — an experimentally distinguishable signature from GRW/CSL/Diósi–Penrose models, testable in optomechanical interferometry with controlled pre-entanglement. We honestly discuss the limitations of the proposal: the absence of superluminal signaling in the fully state-dependent regime remains conjectural, a relativistically covariant generalization is not constructed here, and the exact computation Informational Geodesic Collapse 2of R[gBures] for d ≥ 3 remains restricted, in this version, to the isospectral leaf (the full flag manifold of D(HA) in dimension 3, including the radial directions of the spectrum, has not been computed). The IGCT is resented as a mathematically well-posed and falsifiable research program, not as an established fact of nature.
We derive testable consequences of the hypothesis that quantum decoherence is subject to a global compression bound. Starting from the bounded compression condition, we show that simultaneous decoherence across multiple channels of a quantum system must satisfy a trade-off relation. We formulate this bound in terms of three representation-invariant measures—the purity loss rate, the dissipative entropy production rate, and the Kossakowski eigenvalue sum—ensuring that all predictions are independent of the non-unique Lindblad decomposition. We derive the bound from two independent physical principles: the finite quantum channel capacity of the environment as an information sink, and the thermodynamic cost of irreversible decoherence via the Landauer principle. For multi-qubit systems, we predict that the decoherence rate of maximally entangled (GHZ) states saturates for sufficiently large qubit number N, deviating from the linear scaling predicted by standard Lindblad theory. We identify the transition regime between weak and strong system–environment coupling as the natural domain where the bound becomes experimentally accessible, and propose concrete protocols using superconducting qubits, trapped ions, and mesoscopic systems. The predictions are falsifiable and independent of any specific interpretive framework for quantum mechanics.
Abstract This paper presents a novel interpretation of wavefunction collapse grounded in quantum information theory. We propose that collapse is not triggered by observation itself, but by a quantized increase in a system's informational entropy. Specifically, we introduce a threshold condition: collapse occurs only when the von Neumann entropy of the system exceeds a critical value, δIc, due to entanglement with the environment. This reframing allows wavefunction collapse to be understood as an objective, testable process driven by entropy flow, rather than subjective measurement. We formalize this framework using mathematical postulates and simulate its behavior in canonical quantum setups, including the double-slit experiment, spin measurement, and Schrödinger’s cat. The model not only aligns with known phenomena but also makes falsifiable predictions—suggesting that collapse is conditional and occurs only beyond an entropy threshold. This provides a new lens on the quantum measurement problem and opens experimental paths for validating information-induced collapse.