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Daou_Gravitational_Decoherence_Proposal_v1.0.pdf

Riam Daou

Published Jan 8, 2026• 0 citations
Publisher

Abstract

We propose a novel experimental protocol to test the conservation of quantum information inmacroscopic biological systems. While standard biological decoherence is modeled as a thermodynamicentropy increase, recent developments in the Orch-OR model and Fr¨ohlich Condensatedynamics suggest that complex biological systems may maintain high-temperature quantum coherencevia topological isolation in microtubule structures. Utilizing the Mass-Energy-InformationEquivalence Principle (Landauer’s Limit), we calculate that the sudden decoherence of a criticallyentangled biological state (N ≈ 1027 qubits) releases a transient pulse of energy with a gravitationalmass equivalent of ∼ 30 ng. We distinguish this ”Information Shockwave” from thermal dissipationby calculating their respective timescales and magnitudes. We present a Near-Field Interferometricdesign (r < 3mm) capable of detecting this anomaly and define a rigorous falsifiability condition todistinguish quantum information conservation from classical heat loss. Update: The rigorous mathematical derivation of this hypothesis, including the stress-energy tensor analysis, has been published here: https://zenodo.org/records/18650313?token=eyJhbGciOiJIUzUxMiJ9.eyJpZCI6IjhiMmZkMDdlLWE2ZTUtNGExOS04NDdlLWJiMDYwZDVkNDY1OSIsImRhdGEiOnt9LCJyYW5kb20iOiI2M2JhNDBiZDRhNzdkYzhkZjY2YzgyZTU4MDAzMmRjZSJ9.0Fm7qAV0W0GRSbcdCfhsNQogxA0BiYnZMlUp86WTxbj0vNlkPothHL_HKTgDbz5H3ECGTTcJ4ZF1GgbaLwS-Lw

DOI
10.5281/zenodo.18186400

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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.
We present a rigorous derivation of the gravitational field dynamics resulting from the decoherence ofa macroscopic biological quantum state. Operating under the Mass-Energy-Information EquivalencePrinciple, we model the biological system not as a classical assembly of particles, but as a reservoirof bound information mass governed by a specific Equation of State (EOS). We demonstrate thatthe decoherence event—interpreted here as a thermodynamic phase transition from a zero-pressure“information fluid” to a relativistic radiation fluid—induces a discontinuity in the system’s stressenergytensor Tμν. Solving the linearized Einstein Field Equations for this transition, we find thatthe resulting “pressure shock” acts as a source term for a distinct, high-frequency gravitationalpulse. This result implies that the conservation of information necessitates a gravitational signaturedistinct from classical thermal decay, providing a falsifiable prediction for the detection of non-localbiological states via near-field atom interferometry.
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.
The preservation of quantum coherence in macroscopic biological environments at 300 K remains a primary challenge in open quantum systems, traditionally prohibited by the rapid thermalization dictates of the Lindblad master equation. We propose that the specific irrational scaling of the 13-protofilament biological microtubule circumvents this limit through a purely geometric isolation mechanism. By modeling the traversing quasiparticle (a Fröhlich polaron) within a ϕ-scaled chiral cylindrical lattice, we derive a rigorously constrained momentum-space topology governed by Valley-Orbit coupling. The structural Fibonacci sequence {5, 8, 13} acts as an effective non-Abelian gauge field, forcing the valley isospin to accumulate a quantized topological Berry phase of π/5. Utilizing a Jacobi-Anger expansion, we demonstrate that this C5 chiral holonomy acts as a spatial Bessel-function filter against the Super-Ohmic biological thermal bath, effectively zeroing the dissipator term (D[ρ] = 0) for low-frequency acoustic modes. Furthermore, the spatial parity-breaking of the 25-nanometer lattice induces a Harrison curvature-driven topological mass gap (Mtopo = Δβ(a/RMT )2 cos(π/5)σz), which structurally shields the system from high-frequency optical phonons. Utilizing Hierarchical Equations of Motion (HEOM) cavity dynamics, we show this geometry forces coherent non-Markovian information backflow, bounding the local Von Neumann entropy to an oscillating plateau (⟨dS/dt⟩ ≈ 0). Finally, we propose a strictly falsifiable test: substituting the local hydration layer with Deuterium Oxide (D2O) will spike the Fröhlich coupling constant, inducing polaron self-trapping. This mass-driven localization breaks the 2kF Fermi surface nesting, triggering a spontaneous Peierls transition that shatters the π/5 invariant and induces instantaneous, predictable catastrophic decoherence.
This work presents numerical and theoretical evidence for a testable regime in which semiclassical Schrödinger–Newton dynamics predict a state-dependent gravitational self-interaction in mesoscopic quantum systems. Using large-scale Split-Step Fourier Method (SSFM) simulations, we identify a mass window (≈10⁻¹¹–10⁻¹⁰ kg) where quantum coherence and gravitational self-interaction coexist without immediate decoherence. In this regime, the gravitational self-energy depends smoothly on the spatial structure of the quantum state, leading to a differential phase evolution between superposition states with identical external potentials but different mass-density distributions. The predicted phase signal scales as m² and reaches experimentally relevant magnitudes (Δφ ≈ 10⁻³ rad) for millisecond evolution times, making the effect accessible to next-generation matter-wave and optomechanical interferometry. The work systematically validates the numerical approach, demonstrates energy conservation and convergence of the nonlinear dynamics, identifies a stable “breathing-mode” regime near 10⁻¹⁰ kg, and isolates the gravitational origin of the effect via null tests with the Schrödinger–Newton term removed. This preprint makes no claim regarding spacetime engineering, geometry manipulation, or violations of the equivalence principle. It is explicitly framed as a falsifiable test of semiclassical gravity in a previously inaccessible experimental regime. Confirmation or null detection would provide strong constraints on Schrödinger–Newton–type models and inform the ongoing search for the correct quantum–gravity interface.
This study establishes a rigorous quantitative boundary between engineered quantum systems and biological matter, defined by the thermodynamic cost of information protection. By benchmarking the 2025 Google “Willow” superconducting processor—which requires cryogenic isolation (20 mK) and active error correction to achieve a logical coherence time of 291 μs—against the biological requirement of 25 ms at 310 K, we identify a protection deficit of approximately 101210^{12}1012. We demonstrate that standard gravitational collapse models (Orch OR) are falsified by radiative constraints (R0R_0R0​ limits) from underground experiments. Consequently, we propose and validate a hybrid architecture: nuclear spin memory (Posner molecules) stabilized by cytoskeletal chaperones, linked by chiral spintronic wires (microtubules), and read out via spin-gated ion channels. This model satisfies all physical constraints and is corroborated by recent experimental evidence of lithium isotope fractionation in calcium phosphate chemistry.