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.
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.
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.
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.
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 work presents a heuristic optimization framework that generates specific, quantitative, and testable predictions regarding the quantum-classical transition boundary. Rather than proposing a fundamental theory of quantum gravity or resolving the measurement problem, the framework introduces a phenomenological state-selection criterion based on information-theoretic efficiency under gravitational constraints. Core Predictions & Scope: The Optimization Cliff: Predicts an abrupt collapse of quantum coherence at critical gravitational thresholds (rc≈1.2 mm for levitated 106 amu silica nanoparticles near a 10 g test mass) with a sharp transition width (Δr/rc<0.05), contrasting sharply with the smooth decay predicted by conventional decoherence models. Falsifiability: Provides explicit experimental signatures for terrestrial gradient interferometry and levitated optomechanics, establishing clear go/no-go criteria for empirical refutation. Epistemic Status: Formulated as a productive generative metaphor, the framework maintains strict agnosticism regarding underlying ontology, clearly separating its testable core from speculative extensions. Chronological & Contextual Note: This manuscript reflects the revised version of the framework completed in April 2026 (originally formulated in February 2026). It is deposited on Zenodo as an open-access preprint following an initial deposit on OSF Preprints to ensure permanent digital preservation, DOI indexing via CERN, and open availability for the research community.
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.
Abstract We develop and apply the Yugen wavefunction framework, a phase-geometric reformulation of quantum theory in which the vacuum is treated as an active medium with intrinsic stiffness set by the Planck scale. In this approach, physical fields and particles emerge from internal phase geometry rather than from fundamental point-like interactions. By identifying the amplitude of the Yugen wavefunction with the Planck energy, the Planck scale becomes a physical parameter governing vacuum rigidity and nonlinear phase response. We present explicit numerical predictions across atomic, particle, and mesoscopic regimes. In the atomic sector, the framework predicts small but systematic nonlinear deviations in isotope-shift spectroscopy, arising from coherent vacuum phase effects and consistent with recent high-precision datasets. In the neutrino sector, neutrino masses emerge naturally from localized topological phase interference, yielding the observed mass scale without introducing additional heavy fields. We further address the quantum–classical transition by deriving a nonlinear phase-induced decoherence mechanism for macroscopic objects. The resulting mass- and size-dependent decoherence times place mesoscopic systems near the picogram scale at the threshold of sustained quantum superpositions, a regime accessible to current optomechanical experiments. These results suggest that precision spectroscopy, neutrino phenomenology, and mesoscopic quantum tests probe a common underlying phase structure of the vacuum. The Yugen wavefunction thus provides a unified and experimentally falsifiable framework linking quantum fields, particle properties, and the emergence of classicality.