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Bounding Non-Thermal Mechanical Transients during Macroscopic Decoherence: A Levitated Optomechanics Protocol

Riam Daou

Published Apr 25, 2026• 0 citations
Publisher

Abstract

Theoretical frameworks proposing that quantum information possesses intrinsic physicalmass—such as the Mass-Energy-Information Equivalence Principle (MEIEP)—lack a falsifiable,non-thermal experimental signature at the moment of wave function collapse. Wepropose a rigorous, closed-system optomechanical protocol to bound the existence of nonthermalmechanical transients during controlled macroscopic decoherence. Extending theLandauer limit to highly entangled synthetic systems, we establish parametric scaling boundsfor this mass-equivalent defect: ΔM(N) ≈ N · (3.18×10−38 kg). Utilizing an optically levitatednanodiamond containing a dense network of Nitrogen-Vacancy (NV) centers, we mapa hardware roadmap from current near-term entanglement limits (N ∼ 104) to the macroscopicthreshold (N ≥ 1015), bringing the theoretical signature (ΔM ≥ 3.18 × 10−23 kg)within the yoctogram resolution limit of future feedback-cooled sensors. We provide a quantitativethermodynamic error budget, isolating the informational mass drop from the hermeticseal paradox—where trapped Landauer heat classically enforces ΔM = 0—to probe for ananomalous mass deficit. A Continuous-Discrete Extended Kalman Filter (EKF) pipelineextracts the signal from optical phase noise. This protocol establishes a hardware-readytheoretical probe to bound the mechanical properties of quantum information erasure.

DOI
10.5281/zenodo.19760878

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Theoretical frameworks proposing that quantum information possesses intrinsic physicalmass—such as the Mass-Energy-Information Equivalence Principle (MEIEP)—lack a falsifiable,non-thermal experimental signature at the moment of wave function collapse. Wepropose a rigorous, closed-system optomechanical protocol to bound the existence of nonthermalmechanical transients during controlled macroscopic decoherence. Extending theLandauer limit to highly entangled synthetic systems, we establish parametric scaling boundsfor this mass-equivalent defect: ΔM(N) ≈ N · (3.18×10−38 kg). Utilizing an optically levitatednanodiamond containing a dense network of Nitrogen-Vacancy (NV) centers, we mapa hardware roadmap from current near-term entanglement limits (N ∼ 104) to the macroscopicthreshold (N ≥ 1015), bringing the theoretical signature (ΔM ≥ 3.18 × 10−23 kg)within the yoctogram resolution limit of future feedback-cooled sensors. We provide a quantitativethermodynamic error budget, isolating the informational mass drop from the hermeticseal paradox—where trapped Landauer heat classically enforces ΔM = 0—to probe for ananomalous mass deficit. A Continuous-Discrete Extended Kalman Filter (EKF) pipelineextracts the signal from optical phase noise. This protocol establishes a hardware-readytheoretical probe to bound the mechanical properties of quantum information erasure.
This paper presents a rigorous information-theoretic framework for analyzing quantum decoherence and the mechanism of inertial rest mass generation within open quantum systems. We model spacetime as a primary non-local informational continuum of pure states, structurally regulated by an intrinsic Planck-scale decoherence mechanism operating as a stochastic microstate filter. The transition to a discrete macroscopic reality is formalized via a linear, regularized quantum master equation in the Lindblad form, which successfully eliminates unphysical divergences at the informational saturation limit. We demonstrate that the emergence of inertial rest mass and macroscopic classical inertia is a direct thermodynamic consequence of the cumulative quantized algorithmic information deficit (DbD_bDb​), acting as an information debt quantified in Shannon bits. In accordance with Landauer's principle, this debt enforces a specific thermodynamic heat penalty during state reconfiguration against the invariant Planck temperature of the vacuum substrate. Furthermore, the Cosmic Neutrino Background (CNB) is established as a fundamental physical substrate responsible for global phase synchronization and continuous local entropy calibration via the maximum Quantum Zeno Effect.
The transition from the quantum to the classical realm remains one of the most profound open questions in physics. While quantum theory predicts the existence of macroscopic superpositions, their apparent absence in the everyday world is attributed either to environmental decoherence or to an intrinsic mechanism for wave-function collapse. This work presents a quantitative and experimentally grounded framework for distinguishing these possibilities. We propose a levitated optomechanical platform capable of generating controllable Schrodinger-cat states in the center of mass motion of a dielectric nanosphere. A comprehensive master equation incorporates gas collisions, black-body radiation, and photon-recoil noise, establishing a calibrated environmental baseline. The Continuous Spontaneous Localization (CSL) model is embedded within the same framework, predicting a characteristic saturation of the decoherence rate with superposition size and a quadratic scaling with mass. A Bayesian inference protocol is outlined to discriminate collapse induced excess decoherence from environmental noise. Together these elements provide a concrete experimental blueprint for a decisive test of quantum linearity, either revealing new physics beyond standard quantum mechanics or setting the most stringent bounds to date on objective-collapse parameters.
This paper proposes a deterministic, mechanical solution to the wave-particle duality paradox by establishing a direct link between mass-energy-information equivalence and the quantum-classical transition. We argue that wave-function collapse is not triggered by an abstract, non-physical “conscious observer,” nor does it require multi-dimensional geometric scaffolding. Instead, the transition from a non-local probabilistic wave state to a localized classical coordinate is a quantitative mass-aggregation problem. Utilizing Landauer’s Principle and the Mass-Energy-Information Equivalence Principle, we demonstrate that macroscopic measurement apparatuses inevitably flood a near-massless quantum system with megabyte-to-gigabyte payloads of physical informational mass. This data influx acts as a mechanical anvil, tipping the scale past a specific decoherence threshold and forcing a localized physical state. Finally, we assert that wave collapse is merely a limitation of current technology rather than an immutable law of nature—a conclusion already being validated by contemporary Quantum Nondemolition (QND) and Weak Measurement techniques.
The quantum measurement problem has persisted largely because standard formalisms require the insertion of an external observer to collapse the wavefunction. This leaves physics without a kinematic mechanism for the actual transition from a continuous superposition to a discrete outcome. We propose here that wavefunction collapse functions as a deterministic thermodynamic phase transition, forced via the finite processing memory of the spatial vacuum. Operating within the Symbiotic Infodynamic Equilibrium (SIE) framework, we model the macroscopic vacuum as a discrete, finite-capacity Face-Centered Cubic (FCC) relational graph. A quantum superposition is evaluated here as an unformatted data-routing state distributed across this lattice. We show that maintaining this coherent spatial distribution imposes a linear infodynamic memory burden on the substrate. As the spatial extent or the mass of the superposed system increases, this informational burden intersects with the intrinsic holographic capacity of the localized state. Setting this microscopic capacity (S_cap proportional to M^-2) equal to the macroscopic Bekenstein-Hawking entropy (S_BH proportional to M^2) derives a first-principles boundary for quantum behavior (M_cut = m_P / sqrt(2)). We structurally redefine observation not as a conscious act of measurement, but as an entanglement-driven mass transfer. When a microscopic system interacts with a macroscopic apparatus, the aggregate mass penalty breaches the local bandwidth limit of the vacuum, thereby forcing a deterministic formatting of the state. This infodynamic bandwidth saturation yields explicit spatial (delta x_max proportional to M^-3) and temporal limits for objective reduction, while predicting a falsifiable discrete Landauer thermal purge detectable via macroscopic optomechanical interferometry.
Laboratory-based experimental tests remain a central challenge in the study of the quantum-gravity interface. We present a quantitative, experimentally testable prediction for gravitationally induced quantum decoherence of spatial superpositions in levitated optomechanical systems. Starting from two independently well-tested physical elements—the quantum nature of material energy-momentum fluctuations (established in particle physics) and the linear response kernel of classical geometry (derived from the weak-field limit of general relativity and verified by gravitational-wave observations)—and supplementing them with a minimal extension postulate for superposition states, we obtain a rigid scaling law for the gravitational decoherence rate: \Gamma \sim G M^2 d^2 / (\hbar L^3) \cdot \Phi(l_*/L), where M is the mass of the object, d the spatial separation of the superposition branches, L the characteristic linear dimension, and \Phi a dimensionless function encoding the unknown ultraviolet cutoff scale l_* of the effective geometric noise. The structural form \Gamma \propto M^2 d^2 / L^3 contains no free adjustable parameters; the overall amplitude is set by the choice of l_*. Identifying l_* with the Planck length \ell_P = \sqrt{\hbar G / c^3}—the only known scale bridging quantum theory and gravity—yields \Phi \sim \mathcal{O}(1) and a specific numerical target. For current levitated nanoparticle experiments (M \sim 10^{-14}\,\text{kg}, d \sim 10^{-7}\,\text{m}, L \sim 10^{-6}\,\text{m}), this Planck-scale hypothesis predicts a decoherence rate of order 1\,\text{Hz}, placing it within the foreseeable sensitivity window of next-generation optomechanical setups. We discuss the exclusive physical signatures distinguishing this mechanism from environmental decoherence channels and outline explicit falsification conditions, providing experimental groups with a concrete target to probe the quantum-gravity interface in the laboratory.
The precise physical nature of information remains an open wound on the side of modern physics. While often treated as an abstract mathematical quantity, recent developments in the Mass-Energy-Information Equivalence Principle argue for a more material interpretation: that information carries finite mass. Parallel to this, the field of quantum biology has long wrestled with the possibility of macroscopic coherent states within living systems, most notably through the Orchestrated Objective Reduction hypothesis. This article offers a perspective that attempts to weld these two speculative frameworks into a single, testable prediction. We explore the speculative hypothesis that if biological systems indeed sustain macroscopic quantum coherence, their eventual decoherence must—according to information conservation principles—result in a physical massdefect. Unlike thermal dissipation, which is diffusive and slow, this ”information crash” should theoretically release a sharp, gravitationally detectable transient. Here, we outline the constraints of such an event and propose a conceptual protocol using near-field atom interferometry to isolate this signal from the thermal background. The goal of this perspective is to move the debate on biological information from philosophy into the realm of falsifiable experimental physics.