The primary objective of the experiment is to reliably identify the critical threshold at which quantum coherence collapses. Detecting this threshold is fundamental: it marks the birth of the arrow of time and the transition from unitary quantum dynamics to irreversible dissipation. In the proposed protocol, the threshold is determined by measuring the interference fringe contrast V while systematically varying the microsphere mass; its value (Dcrit = 2,863 µm, Mcrit = 27,04 pg) provides a clear boundary between the “quiet zone” (coherence preserved) and the regime of plastic flow of the vacuum (irreversible coherence loss). Without a robust determination of this threshold, any tests for irreversibility or control of the arrow of time are physically meaningless. An experimental protocol is proposed for direct laboratory testing of the hypothesis of a fundamental yield limit of the physical vacuum — a critical value of gravitational self-energy E_max ≈ 2.05 × 10⁻³² J at which the reversible elastic deformation of the vacuum (GR metric) transitions to irreversible plastic flow. The protocol is based on measurements of the free oscillation ringdown of the center of mass of levitated fused silica (SiO₂) microspheres in a diamagnetic trap at cryogenic temperatures. A precision scanning grid of eight steps is constructed in the diameter range 1.0–5.0 µm with a critical point D_crit = 2.863 µm and critical mass M_crit = 27.04 pg. The key prediction is a slope kink in the contrast function V(M) at the threshold point, experimentally distinguishable from the smooth monotonic decay predicted by the Penrose– Diósi and GRW/CSL models. Below the threshold — a flat zone of silence (V = 1); above — decay of V according to the law exp(−x(x − 1)), where x = E_G/E_max. At the threshold point V = 1 (flow is just beginning), while Penrose gives V = 1/e ≈ 0.37. Distinguishable. The exponent 1/3 in the formula for E_max is not a fitting parameter. It is uniquely determined by the dimensionality of space and does not yield a macroscopic, experimentally accessible threshold for any other value of d. The central goal of the protocol is to investigate the birth of the arrow of time at the transition point. The protocol consists of two parts: a bottom-up pass (birth of the arrow) and a top-down pass (test of irreversibility). An additional test — rotation of the sphere at the moment of threshold crossing — examines the connection between parity and the direction of the arrow (TP-invariance). The window for controlling the direction is the interval from M_crit to 1.4 × M_crit, where dissipation is already underway but the flux is weak and the direction has not yet frozen. The model is falsifiable by three independent criteria: • A flat zone of silence at small D. • V ≈ 1 at the threshold point. • Quadratic decay above the threshold. The use of diamagnetic levitation instead of an optical tweezer eliminates the dominant decoherence channel — photon scattering from the trap. At pressure P = 10⁻¹³ mbar and trap frequency f₀ = 1 Hz, the background decoherence is ~1% of the threshold (signal-to-background ratio ~100). At f₀ = 100 Hz — 0.01% (signal-to-background ratio ~10,000).
The primary objective of the experiment is to reliably identify the critical threshold at which quantum coherence collapses. Detecting this threshold is fundamental: it marks the birth of the arrow of time and the transition from unitary quantum dynamics to irreversible dissipation. In the proposed protocol, the threshold is determined by measuring the interference fringe contrast V while systematically varying the microsphere mass; its value (Dcrit = 2,863 µm, Mcrit = 27,04 pg) provides a clear boundary between the “quiet zone” (coherence preserved) and the regime of plastic flow of the vacuum (irreversible coherence loss). Without a robust determination of this threshold, any tests for irreversibility or control of the arrow of time are physically meaningless. An experimental protocol is proposed for direct laboratory testing of the hypothesis of a fundamental yield limit of the physical vacuum — a critical value of gravitational self-energy E_max ≈ 2.05 × 10⁻³² J at which the reversible elastic deformation of the vacuum (GR metric) transitions to irreversible plastic flow. The protocol is based on measurements of the free oscillation ringdown of the center of mass of levitated fused silica (SiO₂) microspheres in a diamagnetic trap at cryogenic temperatures. A precision scanning grid of eight steps is constructed in the diameter range 1.0–5.0 µm with a critical point D_crit = 2.863 µm and critical mass M_crit = 27.04 pg. The key prediction is a slope kink in the contrast function V(M) at the threshold point, experimentally distinguishable from the smooth monotonic decay predicted by the Penrose– Diósi and GRW/CSL models. Below the threshold — a flat zone of silence (V = 1); above — decay of V according to the law exp(−x(x − 1)), where x = E_G/E_max. At the threshold point V = 1 (flow is just beginning), while Penrose gives V = 1/e ≈ 0.37. Distinguishable. The exponent 1/3 in the formula for E_max is not a fitting parameter. It is uniquely determined by the dimensionality of space and does not yield a macroscopic, experimentally accessible threshold for any other value of d. The central goal of the protocol is to investigate the birth of the arrow of time at the transition point. The protocol consists of two parts: a bottom-up pass (birth of the arrow) and a top-down pass (test of irreversibility). An additional test — rotation of the sphere at the moment of threshold crossing — examines the connection between parity and the direction of the arrow (TP-invariance). The window for controlling the direction is the interval from M_crit to 1.4 × M_crit, where dissipation is already underway but the flux is weak and the direction has not yet frozen. The model is falsifiable by three independent criteria: • A flat zone of silence at small D. • V ≈ 1 at the threshold point. • Quadratic decay above the threshold. The use of diamagnetic levitation instead of an optical tweezer eliminates the dominant decoherence channel — photon scattering from the trap. At pressure P = 10⁻¹³ mbar and trap frequency f₀ = 1 Hz, the background decoherence is ~1% of the threshold (signal-to-background ratio ~100). At f₀ = 100 Hz — 0.01% (signal-to-background ratio ~10,000).
This paper presents a unified theoretical framework and an experimental protocol for detecting the precise boundary between the reversible quantum world and the irreversible classical macroworld. We propose that the quantum-to-classical transition is not a gradual process governed by environmental decoherence, but a discrete, threshold-driven phase transition of the physical vacuum itself. Based on the concept of induced gravity and the metric elasticity of the vacuum (A. D. Sakharov) [1], we demonstrate that the Fine-Structure Constant (α ≈ 1/137) emerges naturally as the invariant modulus of elasticity of the quantum vacuum condensate. The value of α is not a free parameter but a direct consequence of the ultimate strength (yield point) of the vacuum, E_max ≈ 2.05 × 10⁻³² J, derived as the geometric mean between the Planck energy scale and the dark energy density. For a test object of fused silica (ρ = 2200 kg/m³), the threshold is reached at a critical mass of M_crit = 27.04 pg, corresponding to a critical diameter of D_crit = 2.863 µm. Below this threshold, the vacuum undergoes purely elastic deformation, preserving time-reversal symmetry (t → -t). Above the threshold, the vacuum enters a plastic flow regime, triggering a dissipative cascade (I. Prigogine) [3] that breaks time symmetry and induces objective wavefunction collapse. We detail an optomechanical cryogenic levitation protocol to detect this transition via a sharp jump in energy dissipation with a predicted damping ratio of Γ7 / Γ6 ≈ 3.90 and the emergence of Fibonacci-ordered vortex structures in phase space, transforming the problem of the origin of α and the arrow of time from abstract speculation into a precise, tabletop experiment.
This paper presents a formal experimental protocol designed to detect and measure the precise boundary between the reversible quantum world and the irreversible classical macro-world. Based on Andrei Sakharov's concept of metric vacuum elasticity, we propose that the quantum-to-classical transition is governed by a strict yield strength of the vacuum, occurring at a critical mass of 27 picograms. For a monodisperse silica (SiO₂) microsphere, this threshold corresponds to a critical diameter of 2.863 microns. Below this threshold, the vacuum undergoes purely elastic, reversible deformation, preserving time-reversal symmetry (t → −t). Above it, the vacuum experiences plastic flow, triggering energy dissipation and the objective emergence of the arrow of time. We outline the optomechanical infrastructure, a 5-point scanning grid using levitating microspheres, a comprehensive noise budget, and explicit falsifiability criteria to distinguish this model from the smooth decoherence models of Diósi and Penrose.
The quantum measurement problem remains one of the most profound unresolved issues in fundamental physics. While quantum mechanics delivers extraordinarily precise statistical predictions, it does not specify a physical mechanism by which definite classical outcomes arise from quantum superpositions. Decoherence theory accounts for the suppression of interference but does not explain outcome selection or the stability of classical reality. This paper investigates quantum measurement within the framework of Relativistic Coherent Vacuum Gravity Theory (rCVGT). In rCVGT, the vacuum is modeled as a structured relativistic medium characterized by a coherence order parameter ψ(x), a coherence magnitude Q(x) = |ψ(x)|², a vacuum-flow four-field u^μ(x), and a physical time-rate field τ(x). We propose that quantum measurement corresponds to a dynamical instability of vacuum coherence induced by macroscopic coupling to matter and radiation. Classical outcomes emerge when local vacuum coherence is driven below a critical stability threshold, resulting in an irreversible reconfiguration of the vacuum state. The collapse timescale is determined by the vacuum-coherence self-energy defined within rCVGT. This mechanism simultaneously provides a physical foundation for classicality, irreversibility, and the arrow of time. The framework preserves the formal structure and empirical predictions of quantum mechanics while offering a unified physical explanation of measurement grounded in relativistic vacuum dynamics.
Levitated optomechanical systems are approaching the regime where macroscopic quantum superpositions become experimentally accessible. A central question is whether gravity itself, through its unavoidable coupling to material quantum fluctuations, imposes a fundamental decoherence channel on such superpositions. Starting from two independently well-tested physical elements—the quantum vacuum fluctuations of the material energy-momentum tensor, and the weak-field linear response kernel of classical general relativity—we derive a structurally rigid scaling law for the gravitational decoherence rate: \Gamma \propto G M^2 d^2 / (\hbar L^3) \cdot \Phi(l_*/L). The exponents and dependence on mass M, superposition separation d, and object size L are fixed entirely by dimensional analysis and the semiclassical field equations, without tunable parameters. The overall amplitude is set by a single phenomenological input—the ultraviolet cutoff scale l_* of the effective geometric noise. Identifying l_* with the Planck length yields \Phi \sim \mathcal{O}(1) and a decoherence rate of order 1\,\text{Hz} for nanoparticles with M \sim 10^{-14}\,\text{kg}, d \sim 10^{-7}\,\text{m}, and L \sim 10^{-6}\,\text{m}, placing the prediction within the foreseeable sensitivity window of next-generation levitated optomechanical setups. We provide explicit falsification conditions, a three-path staged verification strategy that does not require simultaneous optimisation of all parameters, and operational signatures—including a distinctive pure-dephasing channel without energy relaxation—that distinguish this mechanism from environmental noise, zero-temperature electromagnetic vacuum fluctuations, and the Diósi-Penrose model.
The quantum measurement problem and the arrow of time problem are two of the most fundamental unsolved problems in physics. This paper proves that they share the same geometric origin: the transition of the total information dissipation coefficient Υ from 0 to >0. Quantum collapse is a saddle-point bifurcation of Υ on a single quantum system — when the information dissipation channel opens, only a single classical saddle-point path survives among the quantum superposition states. Collapse and decoherence are not two independent processes but different stages of the same saddle-point bifurcation: decoherence is the early stage, and collapse is the late stage. The arrow of time is the macroscopic manifestation of Υ in statistical ensembles — irreversibility has two independent channels: Υ_E (energy dissipation, thermodynamic arrow) and Υ_φ (phase dissipation, information arrow). The two can be asynchronous: a pure dephasing system has Υ_φ>0 while Υ_E=0; collapse precedes thermalization. This independence yields testable predictions on cosmological scales: if the information arrow is activated before or after the thermodynamic arrow in the very early Universe, the primordial density fluctuations will retain distinct types of non-Gaussian features, whose shapes can be used to determine the activation order of the two channels. Foundational concepts of quantum mechanics — wave function, complex numbers, entanglement, decoherence, quantum–classical boundary — obtain a unified geometric definition within the order-parameter geometric framework. If experiments confirm that Υ_E and Υ_φ always change synchronously, or that log C(t) is linear rather than upward-curving, this theory is falsified.
An operational, dynamics-preserving protocol to test whether quantum coherence reconstructibility in mesoscopic systems is fully captured by calibrated environmental decoherence. A covariance-based deviation Δ is scanned against an effective gravitational parameter Ξ; two signatures — composition invariance and the energy budget (heating/emission) — separate an environmental residual, an objective-collapse mechanism (Diósi–Penrose, CSL), and a structural, energy-conserving residual. A minimal model and a sensitivity forecast for levitated-optomechanics platforms are included. Null results bound residual reconstructibility; a reproducible deviation would test whether any remaining limitation reflects modified dynamics or incomplete local access to the complete physical state.