The quantum Zeno effect (QZE) predicts that frequent measurement of an unstable quantum system suppresses its decay by repeatedly collapsing the wavefunction back to the undecayed state. However, experimentally confirmed results show that the QZE is fundamentally unattainable for radioactive or radiative decay, because the measurement rates required would destroy the system. We identify a distinct but phenomenologically analogous mechanism within the Stochastic Rupture (SR) framework: informational isolation. In SR, collapse occurs when the local von Neumann entropy approaches the Bousso-bounded informational capacity, SvN → η IBousso. A system that is informationally isolated from its environment — such as a single atom in vacuum, or a system inside a Casimir cavity with suppressed vacuum modes — has a reduced local saturation fraction I, and therefore a suppressed collapse rate. This is decay suppression without measurement, without observer, and without the destructive back-action that kills the standard QZE for radioactive systems. Unlike CSL and Diósi–Penrose, which predict measurable heating of diffuse cosmological matter at rates incompatible with Lyman-α forest and CMB temperature constraints, the SR mechanism is structurally silent in low-saturation environments: the collapse rate vanishes identically when I ≪ 1, independently of particle number or system mass. Informational isolation is thus not merely an analogue of the quantum Zeno effect — it is the same threshold geometry that resolves the cosmological heating problem of competing collapse models, and constitutes a necessary condition for any objective collapse theory to survive cosmological scrutiny. We derive the SR prediction for the suppression factor as a function of environmental mode density and identify two distinct regimes. In the low-saturation regime (I ≪ 1) accessible to current cavity QED, SR reduces exactly to Purcell physics and is not experimentally distinguishable from standard quantum optics. The genuinely SR-specific signature emerges only in the high-saturation regime (I → η), where the runaway factor (1 − I/η)−1 amplifies environmental modulation nonlinearly. This regime is accessible only at macroscopic mass scales (~109 –1010 amu, the MAQRO regime), where the SR discriminator combines with the σ x −2 scaling signature distinguishing SR from CSL and DP. The Casimir-cavity proposal is therefore reframed as a conceptual benchmark rather than a near-term experiment.
The quantum Zeno effect (QZE) predicts that frequent measurement of an unstable quantum system suppresses its decay by repeatedly collapsing the wavefunction back to the undecayed state. However, experimentally confirmed results show that the QZE is fundamentally unattainable for radioactive or radiative decay, because the measurement rates required would destroy the system. We identify a distinct but phenomenologically analogous mechanism within the Stochastic Rupture (SR) framework: informational isolation. In SR, collapse occurs when the local von Neumann entropy approaches the Bousso-bounded informational capacity, SvN → η IBousso. A system that is informationally isolated from its environment — such as a single atom in vacuum, or a system inside a Casimir cavity with suppressed vacuum modes — has a reduced local saturation fraction I, and therefore a suppressed collapse rate. This is decay suppression without measurement, without observer, and without the destructive back-action that kills the standard QZE for radioactive systems. Unlike CSL and Diósi–Penrose, which predict measurable heating of diffuse cosmological matter at rates incompatible with Lyman-α forest and CMB temperature constraints, the SR mechanism is structurally silent in low-saturation environments: the collapse rate vanishes identically when I ≪ 1, independently of particle number or system mass. Informational isolation is thus not merely an analogue of the quantum Zeno effect — it is the same threshold geometry that resolves the cosmological heating problem of competing collapse models, and constitutes a necessary condition for any objective collapse theory to survive cosmological scrutiny. We derive the SR prediction for the suppression factor as a function of environmental mode density and identify two distinct regimes. In the low-saturation regime (I ≪ 1) accessible to current cavity QED, SR reduces exactly to Purcell physics and is not experimentally distinguishable from standard quantum optics. The genuinely SR-specific signature emerges only in the high-saturation regime (I → η), where the runaway factor (1 − I/η)−1 amplifies environmental modulation nonlinearly. This regime is accessible only at macroscopic mass scales (~109 –1010 amu, the MAQRO regime), where the SR discriminator combines with the σ x −2 scaling signature distinguishing SR from CSL and DP. The Casimir-cavity proposal is therefore reframed as a conceptual benchmark rather than a near-term experiment.
Stochastic Rupture (SR) proposes that objective wavefunction collapse is triggered when local von Neumann entropy saturates a fraction eta of the holographic Bousso bound on causal-diamond surfaces. The SR network is concretely realized as a simple cubic lattice — square holographic sheets stacked at Planck-scale intervals — whose exact Laplacian spectrum derives the dimensional flow d s: 2 ( UV, holographic ) to 3 ( stacking ) to 4 ( Lorentzian, open ) without free parameters. The framework has two logically independent sectors. The collapse sector is self-contained and makes parameter-free falsifiable predictions. The general SR decoherence rate Gamma SR = Gm squared /(4 h bar sigma x squared ) produces a sigma x to the minus 2 scaling that discriminates SR from CSL (sigma x to the minus 3) and Diósi–Penrose (flat), independently of any free parameters; the definitive test is at MAQRO (10 to the 9–10 to the 10 amu). For GHZ/Bell states on NISQ hardware, the SR-native prediction is tau Bell / tau GHZ is similar to N squared, with a finite-size correction: reliable collapse onset at N stable is approximately equal to 1.25/(1 minus eta ) rather than the theoretical threshold 1/(1 minus eta ). The geometric sector — Newton's law, Einstein equations, spin-2 graviton — is conditional on the IR limit d s to 4 and is presented explicitly as such. Two new structural results reduce the number of free parameters. The bond-percolation threshold of the simple cubic lattice, p c = 0.2488, matches the cosmological structure-suppression parameter e 0 = 0.249 plus or minus 0.035 to within 0.1 %, linking the connectivity transition of the SR network to the S8 tension without a free fit. The restoration rate lambda q, previously unconstrained, is shown to satisfy lambda q/ gamma 0 is approximately equal to 1/ the square root of pi through a three-step geometric argument: vibrating holographic sheets drive saturation fluctuations to the 2D square interface critical point p c=1/2; Bernoulli variance at criticality gives sigma = the square root of 3 /2; three independent propagation channels in 3D then fix lambda q/ gamma 0 = C/ the square root of pi with C is approximately equal to 0.995. The remaining open step — showing the SR interface dynamics belongs to the Model A universality class with additive noise — reduces to a single one-loop RG calculation. The framework makes fourteen falsifiable predictions spanning NISQ processors, MAQRO, LISA, and Euclid, explicitly distinguishing derived results from calibrated parameters and open problems.
This paper examines information stability and collapse across physical scales within the Representational Sufficiency Principle (RSP) framework established in "On the Foundations of Informational Physics" (Kozyra, 2026, Zenodo DOI: 10.5281/zenodo.17783127). I propose that collapse occurs when the minimal algorithmic description length of a state exceeds the maximal representational capacity of the bulk geometry. The criterion is K(ψ) > SBek, where K(ψ) denotes Kolmogorov complexity and SBek = Ac3/4Gℏ represents the holographic entropy bound. This renders collapse geometry-dependent, scale-dependent, and observer-independent. The framework preserves global unitarity through complexity redistribution and requires no modification to quantum mechanics. Three testable predictions follow: (1) calculable mesoscopic thresholds where coherence vanishes independent of environmental decoherence, (2) geometry-dependent collapse rates varying with gravitational potential, and (3) no requirement for non-unitary dynamics. The collapse threshold can be approached not only through particle mass but through controlled entanglement with auxiliary photonic degrees of freedom. This protocol may enable near-term experimental testing using levitated nanoparticles coupled to high-Q microwave cavities, with a calculable prediction for the critical photon number at which interference visibility should decrease independent of environmental decoherence. The criterion applies across scales: protein folding exhibits one-dimensional sequence information projecting onto three-dimensional geometry under configurational constraints; quantum measurement shows superposition collapse when representational capacity saturates; cosmological cycles preserve structural ordering through minimal encoding. The common mechanism is geometric constraint on representational capacity. A probabilistic analysis further demonstrates that life emergence under unbiased initial conditions is effectively impossible in a single cycle, and that cyclic informational heredity is structurally necessary to render it non-negligible — converting the classical improbability argument for design into an affirmative case for cosmic heredity. The framework connects measurement to established bounds from holographic entropy and algorithmic information theory. A unified variational derivation of these results alongside the Einstein field equations is developed in the companion paper "On the Unification of Informational Physics" (Kozyra, 2026, Zenodo DOI: 10.5281/zenodo.18666908).
The persistence of quantum coherence in warm, wet biological systems remains an open puzzle. The Stochastic Rupture (SR) framework proposes that wavefunction collapse is triggered not by environmental noise directly, but by the saturation of local informational capacity, as bounded by the Bekenstein-Bousso limit. We apply this principle to enzyme catalysis, proposing that the protein scaffold maintains a low local informational saturation fraction (χ ≪ η) by suppressing modes that leak ”which-path” information, while dissipating internal entropy through a phonon sink. This non-equilibrium steady state permits quantum tunnelling at physiological temperatures. The framework makes a single, falsifiable prediction: a Mass Ceiling (Mcrit) for quantum-coherent enzymes. Beyond this limit, the protein’s own configurational entropy saturates its Bekenstein bound, rendering tunnelling impossible irrespective of environmental shielding. We estimate Mcrit ∼ 102–103 kDa and propose a simple bioinformatic test using the Protein Data Bank to verify the predicted abrupt mass cutoff.
Objective collapse models, such as the Diósi–Penrose (DP) model, propose that gravityinduces the loss of coherence in spatial superpositions. In an earlier Bekenstein-thresholdrealization of the Stochastic Rupture framework (Zambuzi, 2026), collapse is triggered whenthe von Neumann entropy reaches a fraction η of an effective maximum informational limitImax of the system. Although the Bekenstein bound provides a natural theoretical ceilingfor this limit, the true effective informational capacity of nature that may trigger collapse,here denoted Inature, remains an open empirical question. In this paper, we show that thefunctional dependence of the collapse time on the wavepacket width, τ ∝ σ2x , provides adistinctive experimental signature of that earlier realization. We propose an optomechanicalinterferometry experiment that uses controlled variation of σx not only to distinguish thisσx-dependent law from the asymptotic DP prediction, but also to constrain the effectivecombination ηInature. In this way, the interferometer becomes a macroscopic probe of theinformational threshold entering the collapse dynamics.
We propose a model of objective wave-function collapse in which reduction is triggered not by a fixed rate or by gravitational self-energy alone, but by the approach of the reduced von Neu- mann entropy SvN toward a fraction η of the Bekenstein bound IBek applicable to the system. Dynamics are governed by a Lindblad master equation with a position-based collapse operator in- herited from Continuous Spontaneous Localization (CSL), supplemented by a feedback function F(SvN /ηIBek) = (1 − SvN /ηIBek) −1 that diverges as the system approaches informational satura- tion. The model recovers the Di´osi Penrose (DP) timescale in the limit SvN ≪ ηIBek, resolves a divergence present in the predecessor “Stochastic Rupture” model for d ≫ σx, and makes a qualita- tively new prediction absent from both DP and CSL: systems with high entanglement entropy but no spatial superposition should undergo collapse on timescales of order τ ∼ γ −1 0 (1 − η), potentially as short as 10−8 s for macroscopic entangled systems. We identify explicitly every postulate and every regime of approximation.
The collapse of the wave function remains one of the deepest puzzles in quantum mechanics. The Schrödinger equation is unitary and time-reversal symmetric, yet measurement requires an additional postulate that is neither—and we have no physical explanation for why. Existing interpretations either deny that collapse is real (Many-Worlds), treat it as purely subjective (QBism), or add stochastic noise by hand without deriving it from fundamental principles (GRW, CSL). We demonstrate that collapse is a real physical process requiring fundamentally irreversible dynamics. No purely unitary, time-symmetric theory can account for the objective suppression of macroscopic superpositions—irreversibility must be built into the dynamics from the start. We introduce a minimal extension of quantum mechanics through coupling to a universal scalar field (the I-field) governed by an explicit time-asymmetric field equation. Collapse emerges objectively through deterministic dissipative dynamics, with no reference to observers, measurement devices, or stochastic noise. By integrating out the I-field degrees of freedom, we derive effective Lindblad dynamics for quantum systems. The collapse rate scales quadratically with system mass, ensuring microscopic quantum coherence remains intact while macroscopic superpositions are dynamically suppressed. Unlike stochastic collapse models (GRW/CSL), the mechanism is deterministic and produces no spontaneous heating. Unlike gravitational collapse proposals (Diósi-Penrose), it provides explicit field equations rather than heuristic arguments. Unlike environmental decoherence, the irreversibility is fundamental rather than effective. The theory respects relativistic causality and makes testable predictions for current and near-future experiments in matter-wave interferometry, optomechanical systems, and molecular interferometry. Observation of mass-dependent decoherence without accompanying stochastic heating would provide strong evidence for the I-field mechanism. The framework establishes irreversibility as a fundamental interaction rather than an emergent phenomenon, providing a unified physical origin for both wave function collapse and the quantum arrow of time.