We develop a low-energy, Newtonian-limit effective field theory (EFT) describing gravitationally induced decoherence arising from a classical stochastic gravitational channel. The framework is formulated as completely positive, Markovian Lindblad dynamics coupled to the mass-density operator with spatially correlated white noise. We derive scaling laws for single-mass superpositions and for two-mass Bose–Marletto–Vedral (BMV) configurations, identify four universal parametric regimes, and construct a model-independent testability window in the parameter space of noise strength and correlation length. Our results provide a direct operational link between laboratory-scale entanglement experiments and foundational questions concerning the quantum or classical nature of gravity.
We develop a low-energy, Newtonian-limit effective field theory (EFT) describing gravitationally induced decoherence arising from a classical stochastic gravitational channel. The framework is formulated as completely positive, Markovian Lindblad dynamics coupled to the mass-density operator with spatially correlated white noise. We derive scaling laws for single-mass superpositions and for two-mass Bose–Marletto–Vedral (BMV) configurations, identify four universal parametric regimes, and construct a model-independent testability window in the parameter space of noise strength and correlation length. Our results provide a direct operational link between laboratory-scale entanglement experiments and foundational questions concerning the quantum or classical nature of gravity.
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 gravitational decoherence field studies the suppression of coherence in quantum systems caused by effects rooted in the gravitational interaction. This models are not just important to yield interesting ideas about the search, in regimes others than the Planck scale, for the interplay between quantum mechanics and general relativity, but also from a theoretical point of view. The fact that the gravitational field can not be shielded opens the question of how strong will the gravitational ‘environment’ decohere a quantum system? and if this decoherence can somehow explain the absence of macroscopical super- positions? This thesis studies in depth the ‘Classical Channel Gravity’ (CCG) model, a recent proposal of gravitational decoherence that assumes that the gravitational interac- tion is always accompanied with an intrinsic decoherence mechanism which ensures that there is no transmission of quantum information between the parties involved. This model can be understood a series of weak continuous quantum measurements accompanied with a feedback term produced by some underlying hidden gravitational degrees of freedom. We first study all the possible emergent dynamics from collisional Markovian dynamics; these ones range from exact unitary to arbitrary fast decoherence (Zeno effect). The second part of the thesis is devoted to study the Newtonian and post Newtonian limits of the CCG model, with particular focus on the testability features of CCG. In particular, we apply this model to coupled clocks and find that the amount of decoherence predicted by CCG is the same as the decoherence that an ‘environment of clocks’ will imprint in a single clock in the context of unitary evolution. On the other hand, we find that this effect is far from being detectable with the current achieved time accuracy. However, CCG as a model for multi partite systems and two systems with very different masses seems to yield an amount of decoherence that is not only able to be detectable with current experiments but also seems to indicate that this model is ruled out. Nevertheless, we also mention potential caveats with our assumptions and discuss other physically motivated directions to further study this result. Finally, we also explore the extension of CCG for the cosmological scenario. In this context the scale factor is being decohered by test particles ‘sitting’ on spacetime. We find that this decoherence will be seen by an observer unaware of the CCG fundamental mechanism as an emergent form of dark energy filling the universe.
This paper develops the gravitational decoherence sector of MonoField Theory, a framework in which physical reality is described by a single classical field (\Phi: \mathbb{R}^{3,1} \to S^3) and matter appears as Skyrmion solitons. Only the Skyrmion centre-of-mass position is quantized, while the ripple sector of (\Phi) acts as a classical stochastic environment. Using standard open quantum systems methods, the work derives the structural form of the decoherence rate (\gamma \sim (G M^2/\hbar R),Y), identifies a microscopic cutoff scale (\ell_0) that suppresses short-distance correlations, and obtains a testable scaling law (\gamma \propto R^{5-\alpha}) at fixed density, in contrast to the Diósi–Penrose prediction (\gamma \propto R^5). The paper maps the phenomenological parameter space ((\ell_0, \alpha, T_{\mathrm{eff}})), discusses consistency with existing matter interferometry, and outlines how future nanoparticle experiments can constrain or measure the effective exponent (\alpha).
ABSTRACT Background The gravity–quantum interface lacks a minimal, operational theory for the weak-field, non-relativistic, mesoscopic regime. Semiclassical gravity (SCG), which sources the classical Einstein equations from the quantum expectation value of stress–energy, is the dominant approximation but was designed for cosmological and astrophysical contexts, not for two-body entanglement experiments in the laboratory. A structural silence exists: no framework specifies how gravity couples to quantum matter when entanglement between spatially delocalised mesoscopic masses is at stake. Gap The Named Binary distinguishing Semiclassical Gravity Interface (SCGI) from Quantum-Mediator Gravity Interface (QMGI) does not appear in the literature as a formal operational distinction with computable consequences. No framework simultaneously satisfies: standard quantum mechanics for matter, no-signalling, reduction to Newtonian gravity for classical configurations, and entanglement-generation capability. This four-constraint conjunction defines the structural gap. Approach We formalise the two-body BMV (Bose–Marletto–Vedral) configuration using Hilbert-space language and quantum channels, derive the effective entangling Hamiltonian, prove that C(t) = |sin(Δφ(t)/2)| where Δφ(t) is the entangling phase determined by geometry and interaction time, and derive the design inequality τ_ent ≪ τ_dec as the admissibility condition for entanglement detection. We establish the Strongest Formulation in the five-part programme template, specify a pre-registerable CCS with quantitative decision rule, confirm structural invariance across three independent physics domains, ground the framework in IGT theory, and provide a complete Weil Protocol practitioner review pack. Results Under the four-constraint conjunction (standard QM + no-signalling + Newtonian reduction + entanglement capability), gravity in the mesoscopic weak-field regime must be modelled as a quantum channel: SCGI fails because classical channels cannot increase entanglement between initially separable systems. The entangling phase scales as Δφ(t) ~ Gm²dt/(ℏD²); detectable entanglement requires τ_ent/τ_dec < 1. Three independent distinguishing predictions follow that SCGI cannot make. Structural invariance is confirmed in quantum electrodynamics (photon-mediated entanglement), nuclear physics (exchange-mediated forces), and quantum optics (cavity-mediated entanglement). Implications Any tabletop detection of gravitationally induced entanglement between two mesoscopic masses in a BMV-type experiment would constitute a direct, model-independent, low-energy signature of the quantum nature of gravity. Any confirmed null result provides the strongest direct evidence for SCGI-type models and bounds the parameter space of quantum mediator theories. Weil Protocol practitioner review is required before policy adoption of experimental specifications; status INCOMPLETE. Human-stakes level: L2 · Weil Protocol: INCOMPLETE
We delineate a tripartite diagnostic framework for probing the quantum character of gravitationalinteractions: (i) an entanglement witness based on gravimetrically-induced coherent phase shiftsin spatial superpositions, (ii) an effective field theory (EFT) taxonomy classifying non-universalgravitational couplings, and (iii) a generalized criterion for the breakdown of classical spacetimedescriptions at singular configurations, interpreted as an EFT failure. Central to this work is theintroduction of a dimensionless crossover parameter,Q = κΓtot(1)where κ quantifies the rate of coherent gravitational phase accumulation and Γtot denotes the totalenvironmental decoherence rate. We rigorously demonstrate that Q ≫ 1 delineates regimes ofgenuine quantum gravitational mediation and entanglement generation, whereas Q ≪ 1 characterizeschannels where quantum correlations are suppressed, yielding effectively classical, entanglement-breaking dynamics. This Q-parameter thus serves as a unified discriminant criterion for mappingout the quantum-to-classical transition in gravity.
We formulate the gravitationally induced quantum decoherence of a massive object prepared in a spatial superposition. Starting from linearized gravity coupled to a massive system particle and an environmental scalar field, we derive a closed-time-path influence functional governing the reduced system dynamics. In the nonrelativistic and quasi-static regime, the decoherence exponent can be written as a bilinear functional of the difference of the system stress-energy tensors and an effective noise kernel obtained by dressing the environmental stress-energy tensor correlator with graviton propagators. We then apply this framework to the Newtonian long-range gravitational interaction and evaluate the resulting decoherence function for a dilute nonrelativistic gas modeled by finite wave packets and coarse-grained in time and space. By performing controlled approximations, we obtain analytic expressions for the cumulative decoherence function and show that the dominant contribution is accumulated logarithmically over a broad range of distances, while remaining subdominant to conventional collisional decoherence under realistic conditions.