The possibility that the collapse of the wave function in quantum mechanics is real and ultimately connected to (classical) gravity has been debated for decades with main contributions by Diósi and Penrose (DP). In particular, Diósi proposed a noise-based dynamical reduction model, which captures the same order of magnitudes for the collapse time suggested by Penrose based on heuristic arguments. This is known in the literature as the DP model (Diósi–Penrose). A peculiarity of the DP model is the prediction of spontaneous heating of matter, which can be tested without the need for massive quantum superpositions. Notably, a very similar effect is predicted by recent theoretical approaches to gravity as a classical-only information channel. Here, we reconsider the current constraints on the DP model from spontaneous heating by analyzing experimental situations not properly considered before. We argue that the parameter-free version of the DP model is close to be ruled out by standard heat leak measurements at ultralow temperatures with a conclusive exclusion likely within reach with existing technology. This result would strengthen a recent claim of exclusion inferred by spontaneous x-ray emission experiments, which relies on the somewhat stronger assumption that the DP noise field is white up to x-ray frequencies.
The physical mechanism underlying quantum wave-function collapse remains a centralproblem in foundational physics. Objective collapse theories, notably the Penrose-Diósi(DP) model, propose that macroscopic superposition is destroyed by gravitational self-energy∆EG, predicting that collapse time τD = ℏ/∆EG scales strictly with mass. Recent experimental bounds from underground generalized acceleration experiments (AURIGA, Helouet al. 2017) have severely constrained the DP parameter space. We propose an entirelydistinct, falsifiable mechanism: Topological Representation Collapse. Within the DSM-861framework, wave-function collapse is triggered not by static gravity but by dynamic enstrophy strain exceeding the topological melting threshold Em = 695.74 eV. This establishes afalsifiable experimental demarcation line in the mesoscopic regime. We demonstrate fourspecific signatures: (1) Topology vs. Mass—decoherence depends on vorticity, not mass; (2)The Rotor Anomaly—a driven nanomechanical rotor will decohere faster than DP predictswhen rotational energy approaches 695.74 eV; (3) Protein Folding Dynamics—intrinsicallydisordered proteins generate enstrophy gradients that trigger a hard decoherence cutoff; (4)Rigid Mass Coherence—a perfectly rigid, non-rotating mass maintains coherence longer thanDP allows. All four predictions are falsifiable with next-generation mesoscopic superpositionexperiments.
The physical mechanism underlying quantum wave-function collapse remains a central problem in foundational physics. Objective collapse theories, notably the Penrose-Diósi (DP) model,propose that macroscopic superposition is destroyed by gravitational self-energy (∆EG), predicting that collapse scales strictly with mass.We propose an entirely distinct physical mechanism: Topological Representation Collapse.Within the Deterministic Spectral Manifold (DSM-861) framework, wave-function collapse istriggered not by static gravity, but by dynamic enstrophy strain exceeding a specific topologicalmelting threshold (Em ≈ 695.74 eV). This establishes a falsifiable experimental demarcationline in the mesoscopic regime. We demonstrate that highly strained, rapidly rotating, or topologically complex mesoscopic systems (such as driven nanomechanical rotors or rapidly foldingproteins) will undergo spontaneous decoherence significantly faster than predicted by gravityinduced models, while perfectly rigid macroscopic masses may maintain coherence longer.
This note presents a conceptual modification to the Diósi–Penrose (DP) objective collapse model. The note conjectures that the timescale of wave function collapse (
τ≈ℏ/EG) is influenced not only by the gravitational self-energy (
EG) but also by the asymmetry in the "dispositional thermodynamic capacities" (
S˙disp) of the superposed branches. The proposed modification introduces a multiplicative correction factor, expressed as
τ−1≈(EG/ℏ)⋅[1+f(ΔS˙disp)], ensuring the effect vanishes when branches are thermodynamically symmetric or when
EG approaches zero. This approach is distinctly framed against the existing dissipative-collapse literature (e.g., dissipative DP and CSL variants), as it relies on a between-branch difference rather than a global dissipative term to modulate the collapse rate. The document outlines two hard constraints for this theoretical framework: Degeneracy: Canonical DP tests inherently lack thermodynamic asymmetry (
ΔS˙disp=0), meaning the correction predicts nothing beyond bare DP unless thermal asymmetries (e.g., thermal gradients or substrate proximity) are deliberately engineered. Magnitude: The correction factor must be heavily suppressed below the raw thermal scale, as naive scaling with thermal energy across a mesoscale object's phonon modes would exceed
EG by many orders of magnitude. Finally, the note addresses current barriers to empirical testing. It acknowledges that the conjecture remains practically unfalsifiable at present because the methods required to engineer
ΔS˙disp=0 are degenerate with ordinary, non-gravitational decoherence effects, and no current experimental configuration isolates the proposed mechanism from these confounds. Keywords: Diósi-Penrose Model, Objective Wave Function Collapse, Quantum Decoherence, Gravitational Self-Energy, Dispositional Thermodynamic Capacity, Quantum Foundations, Spontaneous Collapse, Dissipative Collapse.
The Diósi-Penrose model states that the wave function collapse ending a quantum superposition occurs due to the instability of coexisting gravitational potentials created by distinct geometric conformations of the system in different states. The Heisenberg time-energy principle can be invoked to estimate the collapse time for the energy associated with this instability, the gravitational self-energy. This paper develops atomistic models to calculate the Diósi-Penrose collapse time. It applies them to a range of systems, from small molecules to large biological structures and macroscopic systems. An experiment is suggested to test the Diósi-Penrose hypothesis, and we critically examine the model, highlighting challenges from an atomistic perspective, such as gravitational self-energy saturation and limited extensivity.
The Diósi-Penrose (DP) objective collapse model faces a severe empirical crisis, as recent underground experiments have definitively ruled out spontaneous bremsstrahlung radiation predicted by its stochastic noise mechanism. In this paper, we resolve this radiation paradox by proposing "Geometric Yielding"—a deterministic spacetime phase transition. Operating within the weak-field limit, we posit that spatial superposition collapses instantaneously when its quantum expansion pressure exceeds the structural threshold of the local linearized metric (
Lc), dissipating energy into spacetime curvature without electromagnetic coupling. Crucially, to resolve the singularity of point-like collapse, we anchor the ultimate lower bound of this localization (
L0) in the discrete geometry of Loop Quantum Gravity(LQG). We propose that the collapse is stopped at the minimum volume eigenvalue of a spin network node, scaling with the Barbero-Immirzi parameter (
γ) and the Planck length (
ℓP). This fundamental reduction in spectral dimension establishes a deterministic sawtooth-like dynamical cycle (
τ). For macroscopic objects, this cycle frequency is infinitely rapid, trapping them in a classical state via a self-induced Quantum Zeno effect. As a definitive empirical signature, we predict that for a
106 AMU silicon nanosphere, this Geometric Yielding will manifest itself as a Heaviside step-like suppression of interference visibility at a critical superposition distance (
9.5μm), fundamentally distinguishing our model from the exponential decay predicted by continuous spontaneous localization (CSL) models.