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.
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.
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.
We explore, within the Stochastic Rupture (SR) framework, a tentative geometric reading of quantum tunnelling. The picture is simple: a barrier may be understood as a region of accumulating information, and a particle's wavefunction may traverse it while the information there has not yet saturated before the barrier has, in a sense, nished crystallising into a fully classical object. Classical realisation (collapse) is identied with the local informational saturation χ → η already central to SR. We note that this picture reproduces, qualitatively, the Hartman eect (the saturation of tunnelling time with barrier width), and that it suggests a falsiable signature: the tunnelling rate would depend not only on the classical barrier parameters (V0, L) but on the informational density of the barrier material, plausibly its electronic density of states D(EF ). We are explicit throughout that this is exploratory: the central coupling that would set the magnitude of the eect is not derived, only its direction is proposed, and the underlying images are oered as intuition rather than as established mechanism. No claim of derivation is made.
We propose a model in which proper time emerges from a finite local informationsampling capacity and wave-function collapse occurs when the informational content ofa quantum branch approaches the Bekenstein bound. Combining insights from entropicgravity, holographic entropy limits, and objective collapse models, we suggest that collapsecorresponds to stochastic pruning of branches approaching saturation of local informationcapacity. The collapse rate is derived from the gravitational self-energy of spatially separated branches, yielding a dimensionally consistent scaling relation with quadratic massdependence consistent with the Diósi–Penrose framework. The model predicts anomalousdecoherence in massive spatial superpositions and provides experimentally testable thresholds relevant to next-generation interferometers. This framework offers a unified perspectiverelating emergent time, collapse dynamics, and gravitational information boundsNote: Bekenstein bound proposed as suggestion of pruning trigger, not definitive mechanism. Other informational thresholds possible.
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.
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.
Biological systems display phenomena—particularly in enzymatic catalysis, excitonic coherence, and protein folding—that appear to exploit selective stabilisation of microstates beyond what standard quantum mechanics typically predicts for warm, noisy environments. We propose that these deviations can be interpreted as signatures of an informational reservoir: a hidden, aperiodic layer of structured information accessible only to sufficiently complex biological systems. Standard quantum mechanics then emerges as a limiting, coarse‑grained description in which the reservoir term vanishes. The proposed reservoir is not reducible to any finite set of underlying parameters; instead, it functions as a high‑complexity information landscape that can be “read” only by finely organised biomolecular architectures. We outline empirically testable predictions and discuss implications for biological stability, functional directionality, and the physical foundations of living systems.