Quantum clock interferometry makes relativistic proper time enter coherent quantum dynamics through phase and visibility, and within unitary physics the visibility loss from clock-path entanglement is reversible by echo operations. We propose a null test for any residual contrast loss correlated not with the signed proper-time difference but with a non-negative proper-time exposure Ξ. A height-swap echo cancels the signed difference, while keeping Ξ finite. Any residual is parameterized by ln R = − εℓ ω0 Ξ, the law generated by Lindblad dephasing at rate εℓ ω0 |dΔτ/dt|. From published interferometry we derive the first premise-conditioned upper bounds on εℓ: an operational clock-lag reading gives εℓ ≲ 3 × 10−2, while under the contested Compton-frequency reading lattice holds give 1.4 × 10−6 and large-separation fountains give 4 × 10−10. A noise budget shows a dedicated echo with an optical clock is statistics-limited, reaching εℓ ∼ 3 × 10−3within days. Keywords: quantum clocks; quantum interferometry; proper time; gravitational redshift; decoherence; experimental bounds Core claim (operational null test with first bounds). Define the proper-time exposure as Ξ≡ ∫ |dΔτ(t)/dt| dt over the laboratory interval 0 ≤ t ≤ Tlab, and the normalized echo visibility ratio as R(Δh,T) = Vecho(Δh,T)/Vecho(0,T). The null hypothesis is zero slope in ln R versus x= ω0Ξ; any reproducible slope b defines εℓ = −b. Under the assumptions stated in Section 6, an exposure-correlated channel can only reduce contrast, so published visibility data yield conservative upper bounds on εℓ without an echo; the echo is required only for discovery.
Quantum clock interferometry makes relativistic proper time enter coherent quantum dynamics through phase and visibility, and within unitary physics the visibility loss from clock-path entanglement is reversible by echo operations. We propose a null test for any residual contrast loss correlated not with the signed proper-time difference but with a non-negative proper-time exposure Ξ. A height-swap echo cancels the signed difference, while keeping Ξ finite. Any residual is parameterized by ln R = − εℓ ω0 Ξ, the law generated by Lindblad dephasing at rate εℓ ω0 |dΔτ/dt|. From published interferometry we derive the first premise-conditioned upper bounds on εℓ: an operational clock-lag reading gives εℓ ≲ 3 × 10−2, while under the contested Compton-frequency reading lattice holds give 1.4 × 10−6 and large-separation fountains give 4 × 10−10. A noise budget shows a dedicated echo with an optical clock is statistics-limited, reaching εℓ ∼ 3 × 10−3within days. Keywords: quantum clocks; quantum interferometry; proper time; gravitational redshift; decoherence; experimental bounds Core claim (operational null test with first bounds). Define the proper-time exposure as Ξ≡ ∫ |dΔτ(t)/dt| dt over the laboratory interval 0 ≤ t ≤ Tlab, and the normalized echo visibility ratio as R(Δh,T) = Vecho(Δh,T)/Vecho(0,T). The null hypothesis is zero slope in ln R versus x= ω0Ξ; any reproducible slope b defines εℓ = −b. Under the assumptions stated in Section 6, an exposure-correlated channel can only reduce contrast, so published visibility data yield conservative upper bounds on εℓ without an echo; the echo is required only for discovery.
Abstract Clock interferometry probes general-relativistic proper-time differences through the entanglement between a particle's center-of-mass path and its internal degrees of freedom. Existing analyses treat the internal clock as either a closed system or study how environmental noise modifies the interferometric visibility. Here we address a distinct question: what fraction of the proper-time-induced visibility loss remains recoverable when the experimentalist is restricted to local unitary control of the internal clock? We model the clock as a two-level system undergoing amplitude damping with branch-dependent proper times in a Mach-Zehnder interferometer and derive the visibility both without and with a spin-echo refocusing pulse. In the closed-system limit (γ→0), the echo restores full visibility; for γ>0, the no-jump survival probability imposes a strict upper bound on echo-recovered visibility that no internal-only unitary can exceed. We establish the conditions under which a proper-time-parametrized Gorini-Kossakowski-Sudarshan-Lindblad equation is valid by appealing to the local comoving frame and the equivalence principle, distinguishing comoving-bath and laboratory-bath parametrizations. Numerical simulations with QuTiP confirm all analytic results. We provide experimental parameter estimates for cold-atom and cavity-QED platforms, showing that the irrecoverable visibility deficit is within reach of near-future clock-interferometry experiments. The echo-recovery deficit constitutes an operational witness that separates irreversible environmental decoherence from the formally reversible path-clock entanglement of the Pikovski mechanism.
This manuscript develops three concrete, falsifiable predictions based on a framework in which time and space are operationally equivalent, and classical reality is understood as the record. In this scalar-clock / awareness-tensor / Trinity picture, an observation is any physical process that stabilizes correlations into durable, revisitable records, and gravity is interpreted as time decoherence: clock-locking and time selection into dominant mass time-zones. The paper introduces three phenomenological parameters that are exactly zero in standard GR+QM: (i) ϵ\epsilonϵ, the sensitivity of co-located clock rates to engineered decoherence and monitoring strength; (ii) η\etaη, the sensitivity of effective gravitational acceleration to record-export structure at fixed mass distribution; and (iii) a scalar time-mismatch scale ΔT∗\Delta T_\astΔT∗, beyond which interference visibility near a mass exhibits a protocol-dependent threshold. These parameters are tied to operational proxies: clock-locking depth, time mismatch, and coupling gradients. From this framework, three testable predictions follow: Entanglement-dependent time dilation: Two identical, co-located precision clocks in the same gravitational potential but in different record-coupling regimes (high vs. low monitoring and decoherence) should exhibit a small, persistent differential drift that tracks clock-locking depth, not altitude or velocity. Gravity modulation by engineered decoherence: In a torsion balance, atom interferometer, or precision gravimeter, the measured acceleration toward a test mass should differ slightly between “decoherence OFF” and “decoherence ON” conditions, even when the mass distribution and EM fields are unchanged. The key signature is a protocol-locked Δg\Delta gΔg that appears only when scattered quanta are recorded, not when the same fields are present but their outputs are dumped locally. Entanglement horizon near mass: In a matter-wave interferometer, as one arm approaches a mass (or as the mass is increased), interference visibility should drop at a characteristic threshold set by scalar-clock mismatch and record structure. This defines an “entanglement horizon” in time-mismatch space, distinct from smooth environmental decoherence. For each effect, the paper defines explicit null hypotheses, identifies leading systematics, and sketches minimal experimental protocols compatible with current or near-term optical clocks, gravimetry, and matter-wave interferometry platforms. A brief CPT-compatibility analysis clarifies that microscopic dynamics remain CPT-symmetric in the usual QFT sense; any asymmetries arise only at the coarse-grained level of record formation and clock-locking. The proposals can therefore be read either as parameterized extensions of GR+QM using measurement architecture as an additional knob, or as an operational test of a broader “gravity as time decoherence” interpretation in which geometry becomes explicitly record-sensitive. This Version 2 is a revised and expanded update of the original upload, adding a phenomenology-first summary, clarifying the roles of the parameters (ϵ,η,ΔT∗)(\epsilon,\eta,\Delta T_\ast)(ϵ,η,ΔT∗), and situating the framework more explicitly relative to existing work on gravity-related decoherence, hybrid classical–quantum gravity, and clock/interferometry proposals (Diósi–Penrose, Bassi, Anastopoulos–Hu, Oppenheim, Zych–Costa–Pikovski–Brukner, Bose et al.). The updated version explicitly restricts the criterion to record-sensitive effects, rather than any effect. It explicitly spells out what “record formation on/off” means in practice: detectors and logging are turned on/off while the physical fields are held fixed, i.e., outputs are either stored or not stored. This version tightens falsifiability and lab usability. It (i) commits to explicit benchmark model families for the three predictions, each reducing to standard physics when ϵ=η=κ=0\epsilon=\eta=\kappa=0ϵ=η=κ=0; (ii) defines an unambiguous export-axis variable via the exported mutual-information rate I˙XR\dot I_{XR}I˙XR and export depth E\mathcal{E}E, enabling cross-platform comparisons; (iii) adds a fully worked, platform-specific optical lattice clock pilot (C1 vs C2 export-only toggle) including invariance audits, confound/error budgeting, preregistered power/discriminability analysis, and an end-to-end analysis pipeline; and (iv) upgrades mandatory reporting/preregistration templates so null results produce publishable bounds on (ϵ,η,κ)(\epsilon,\eta,\kappa)(ϵ,η,κ).
Optical ion clocks now approach a regime in which relativistic time dilation is no longer exhausted by a classical proper-time parameter read by a quantum sensor. Recent work by Sorci, Foo, Leibfried, Sanner, and Pikovski shows that harmonically trapped optical clock atoms can exhibit vacuum-induced, squeezing-induced, and intrinsically quantum corrections to the second-order Doppler shift, with time-dilation-induced entanglement between motional and internal clock degrees of freedom becoming observable in strongly squeezed trapped-ion motion. This paper develops the significance of that result within CPT-Coherence Theory. The central principle of CPT-Coherence is Onto-Physical Entanglement: what a system is cannot be separated from how it is allowed to remain coherent under admissible transformation. In the clock setting, this principle appears in branch-visible form. The internal clock transition is not merely an isolated label transported through spacetime; its phase identity is dynamically bound to the motional state through the relativistic proper-time operator. Proper-time interferometry therefore supplies a laboratory instance of a more general structural rule: physical identity is stabilized only through the admissible evolution channels by which it can be read out. The paper distinguishes the relativistic proper time of the ion-clock experiment from the coherence-depth coordinate of CPT-Coherence. The former is a branch-visible observable associated with worldline evolution; the latter is a structural coordinate organizing parent-boundary admissibility, trace access, Schur response, and stable observable descent. Their relation is not identity but projection: quantum proper-time readout provides an experimentally precise interface through which branch observers can test how internal identity, motion, coherence, and record formation remain coupled. We formulate a CPT-Coherence clock-readout sector in which a quantum clock is represented by a triple consisting of an internal identity generator, an external motion algebra, and a proper-time readout operator. The Sorci-Foo-Leibfried-Sanner-Pikovski protocol is then interpreted as a high-precision realization of an OPE readout channel: classical time dilation corresponds to scalar proper-time averaging; vacuum and squeezing shifts correspond to state-dependent branch corrections; and visibility loss corresponds to trace-visible entanglement between identity and admissible motion. This establishes optical ion clocks as a natural experimental grammar for CPT-Coherence, while CPT-Coherence supplies a unifying interpretation of why such experiments probe not simply clock rates, but the inseparability of physical being and physical evolution. Scope note: the quantitative predictions below coincide with those of standard relativistic quantum clock theory; CPT-Coherence contributes an interpretation and vocabulary, together with an explicit falsification target for that interpretation.
Current attempts to probe general relativistic effects in quantum mechanics focus on precision measurements of phase shifts in matter–wave interferometry. Yet, phase shifts can always be explained as arising because of an Aharonov–Bohm effect, where a particle in a flat space–time is subject to an effective potential. Here we propose a quantum effect that cannot be explained without the general relativistic notion of proper time. We consider interference of a 'clock'—a particle with evolving internal degrees of freedom—that will not only display a phase shift, but also reduce the visibility of the interference pattern. According to general relativity, proper time flows at different rates in different regions of space–time. Therefore, because of quantum complementarity, the visibility will drop to the extent to which the path information becomes available from reading out the proper time from the 'clock'. Such a gravitationally induced decoherence would provide the first test of the genuine general relativistic notion of proper time in quantum mechanics. In the theory of general relativity time flows at different rates depending on the space–time geometry. Here, a drop in the visibility of a quantum 'clock' interference in a gravitational potential is predicted, which cannot be explained without the general relativistic notion of time.
This work derives a conservative, operational consequence of the Scalar Temporal Field Ontology (STFO), in which time is modeled as a physical scalar field τ(xμ)\tau(x^\mu)τ(xμ) whose timelike gradient defines a preferred notion of evolution. We show that any two-path interference experiment (optical or matter-wave) yields a quantitative bound on unresolved temporal path-difference fluctuations. Interferometric visibility is identified with the characteristic function of the temporal fluctuation δΔτ\delta\Delta\tauδΔτ, leading to a model-independent constraint on the root-mean-square temporal noise in terms of the measured visibility and the experiment’s phase-generating energy scale. The analysis is intentionally operational and conservative. It does not modify standard quantum probabilities and is compatible with conventional environmental decoherence, appearing as an additional multiplicative coherence factor. Null results therefore impose direct experimental bounds on temporal-field fluctuations within the STFO framework. This paper interfaces quantum foundations, interferometry, and the problem of time, and provides a falsifiable, experiment-facing bridge between the Scalar Temporal Field Ontology and precision laboratory tests.
Standard double-slit and interferometer experiments treat apparatus geometry, boundary conditions, coherence, detector response, and which-path distinguishability as sufficient variables for predicting interference visibility. This paper preserves that standard quantum-optical null model as the baseline and asks a narrower residual question: whether a dynamically reconfigured two-path apparatus can show visibility dependence on the time at which the relevant apparatus context becomes locally available. The proposed apparatus-context hypothesis is intentionally carrier-neutral. It may be represented inside the broader space-cell program either by deformation-like geometry, stress, shear, or topology variables, or by an extrinsic scalar χ-like compression/event-density coordinate. The first experimental question is not which internal carrier is correct. It is whether any additional finite-speed apparatus-context variable is required after ordinary quantum-optical effects are modeled and controlled. The primary observable is residual visibility as a function of reconstructed apparatus-context delay, Δ_ctx = τ_interaction − τ_context available. Under this sign convention, Δ_ctx < 0 means the photon-apparatus interaction occurs before the relevant two-path context has become available, while Δ_ctx > 0 means the context is available before interaction. The proposed support signature is a reproducible negative residual in the negative-Δ_ctx timing window, absent in sham-switch, one-path, decoherence, detector-angle, path-phase, material, and deformation-only controls. The proposed experiment reflects findings from toy-model interaction/accounting tests and design-translation results. These simulations sharpen criteria for a falsifiable experiment, define controls, and translate the timing variable into implementable design constraints.