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A No-Go Theorem for Gravitationally Induced Entanglement in the Information Saturation Framework, with a Pre-Registered Single-Particle Kill Condition

Junmin Lee

Published Jul 18, 2026• 0 citations
Publisher
DOI
10.5281/zenodo.21430541

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Pre-Registered Quantitative Predictions of the TESE Framework: A Shared-Coupling Inference Protocol Across Four Experimental Domains (Baseline v1.0)

TESE Collaboration — a structured research collective organized around the CSF-CMT theoretical program. Work is partitioned into volumes (A: first-space state spectrum; B: second-space sector spectrum; C: third-space bound-state spectrum) and sub-engineering units (B4 holographic boundary; B6 charge boundary; M5 prediction registry). The present document is issued by the M5 registry unit. Corresponding author: [单洁 ]. Contributions are recorded per volume; no

This deposit seals the baseline (v1.0) pre-registration of four experimentally testable predictions of the Triadic Entanglement State-Determination Engineering (TESE) framework, together with a shared-coupling back-inference protocol and pre-specified decision criteria. All four predictions derive from a single coupling set {g_AB} governing six fundamental modes of a first-space meta-field; confirmation of any one prediction, combined with back-inference of {g_AB} and consistency checks against the remaining three, constitutes system-level (global) confirmation rather than an isolated one. The predictions are: (M5-delta) a four-threshold decoherence staircase with threshold positions at 13.6 eV, 8.8 MeV, 939 MeV, and 200 MeV, plus six absorption peaks of an entanglement-medium response spectrum; (M5-gamma) a statistically significant deviation of the cosmological structure growth index from the general-relativistic scaling law, jointly with superior TESE-template fit over Lambda-CDM at pre-specified model-comparison thresholds; (M5-beta) vanishing of decoherence rates as temperature approaches zero, in contradiction with spontaneous-collapse models; and (M5-alpha) an upward shift of +9.6 percent in the hadron-quark transition temperature in neutron-star gravitational environments, with environment-independence of the crossover shape as an independent kill criterion. For each prediction we register the quantitative anchor value, the acceptance and rejection thresholds, the designated data source, and the axiomatic link that a conflict would localize. This v1.0 baseline is immutable; revisions follow a versioned chain under one concept DOI with explicit change logs. Companion frozen analysis code is deposited separately. No analysis choice in this document depends on post-registration information.

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Gravity-induced entanglement (GIE) experiments have been proposed as a theory-independent test of the quantum nature of gravity, on the strength of several no-go theorems concluding that GIE detection implies the gravitational interaction is either nonlocal or nonclassical. This is in apparent tension with a growing number of papers claiming that theories with a classical gravitational field do predict GIE. This article resolves the tension by reviewing the assumptions of the no-go theorems and highlighting the information-theoretic, rather than spatiotemporal, nature of the locality assumption. This makes violating locality not particularly problematic. Indeed, quantum electrodynamics and perturbative quantum gravity are nonlocal in the sense of the theorems. Thus, simple detection GIE is not sufficient to rule out a classical gravitational field and we will need quantitative comparison of theoretical predictions in the low-energy quantum gravity regime to test whether the gravitational field is quantum or classical.

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Whose Geometry? Proper-Time Interference, Classicality by Universality, and the Energy-Product Coupling Derived from an Eliminated Quantum Geometry

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This note extends the quantum reference-frame framework from charge, time, and position to geometry itself. It studies the consequences of treating spacetime geometry as a quantum variable in exactly solvable models. An observer without access to a superposed geometry register is shown to possess a geometric information deficit: the inaccessible geometry information is quantified by the entropy of the geometry sectors. Conditioning on the geometry register recovers the individual geometric branches exactly, establishing geometry as a quantum reference frame with the same structure as charge, time, and position reference frames. The work studies clocks evolving in superposed gravitational redshifts and derives exact proper-time interference. Different geometric branches generate which-geometry records in the clock, producing decoherence and periodic recoherence according to the same information-transfer structure found throughout the reference-frame framework. The note further investigates the emergence of classical spacetime. Multiple quantum systems coupled to the same geometry register collectively decohere the geometric superposition faster than a single system, while non-universal coupling does not produce the same amplification. This provides an exactly solvable realization of the idea that spacetime classicality can emerge through continuous measurement by matter. Finally, the paper derives the effective energy-product interaction used in gravitationally induced entanglement models. By introducing a dynamical geometry mode sourced by matter energy and eliminating the mediator, the familiar energy-product coupling emerges directly from the quantum geometry model rather than being assumed. The results connect quantum reference frames, proper-time superposition, gravitationally induced decoherence, gravitational entanglement, and the emergence of classical geometry within controlled finite models. The declared limits are finite geometry registers, simplified sourced geometry modes, and no claim of a complete theory of dynamical quantum gravity. Verification and reproducibility materials are included.

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This deposit seals the baseline (v1.0) pre-registration of four experimentally testable predictions of the Triadic Entanglement State-Determination Engineering (TESE) framework, together with a shared-coupling back-inference protocol and pre-specified decision criteria. All four predictions derive from a single coupling set {g_AB} governing six fundamental modes of a first-space meta-field; confirmation of any one prediction, combined with back-inference of {g_AB} and consistency checks against the remaining three, constitutes system-level (global) confirmation rather than an isolated one. The predictions are: (M5-delta) a four-threshold decoherence staircase with threshold positions at 13.6 eV, 8.8 MeV, 939 MeV, and 200 MeV, plus six absorption peaks of an entanglement-medium response spectrum; (M5-gamma) a statistically significant deviation of the cosmological structure growth index from the general-relativistic scaling law, jointly with superior TESE-template fit over Lambda-CDM at pre-specified model-comparison thresholds; (M5-beta) vanishing of decoherence rates as temperature approaches zero, in contradiction with spontaneous-collapse models; and (M5-alpha) an upward shift of +9.6 percent in the hadron-quark transition temperature in neutron-star gravitational environments, with environment-independence of the crossover shape as an independent kill criterion. For each prediction we register the quantitative anchor value, the acceptance and rejection thresholds, the designated data source, and the axiomatic link that a conflict would localize. This v1.0 baseline is immutable; revisions follow a versioned chain under one concept DOI with explicit change logs. Companion frozen analysis code is deposited separately. No analysis choice in this document depends on post-registration information.
Gravity-induced entanglement (GIE) experiments have been proposed as a theory-independent test of the quantum nature of gravity, on the strength of several no-go theorems concluding that GIE detection implies the gravitational interaction is either nonlocal or nonclassical. This is in apparent tension with a growing number of papers claiming that theories with a classical gravitational field do predict GIE. This article resolves the tension by reviewing the assumptions of the no-go theorems and highlighting the information-theoretic, rather than spatiotemporal, nature of the locality assumption. This makes violating locality not particularly problematic. Indeed, quantum electrodynamics and perturbative quantum gravity are nonlocal in the sense of the theorems. Thus, simple detection GIE is not sufficient to rule out a classical gravitational field and we will need quantitative comparison of theoretical predictions in the low-energy quantum gravity regime to test whether the gravitational field is quantum or classical.
This note extends the quantum reference-frame framework from charge, time, and position to geometry itself. It studies the consequences of treating spacetime geometry as a quantum variable in exactly solvable models. An observer without access to a superposed geometry register is shown to possess a geometric information deficit: the inaccessible geometry information is quantified by the entropy of the geometry sectors. Conditioning on the geometry register recovers the individual geometric branches exactly, establishing geometry as a quantum reference frame with the same structure as charge, time, and position reference frames. The work studies clocks evolving in superposed gravitational redshifts and derives exact proper-time interference. Different geometric branches generate which-geometry records in the clock, producing decoherence and periodic recoherence according to the same information-transfer structure found throughout the reference-frame framework. The note further investigates the emergence of classical spacetime. Multiple quantum systems coupled to the same geometry register collectively decohere the geometric superposition faster than a single system, while non-universal coupling does not produce the same amplification. This provides an exactly solvable realization of the idea that spacetime classicality can emerge through continuous measurement by matter. Finally, the paper derives the effective energy-product interaction used in gravitationally induced entanglement models. By introducing a dynamical geometry mode sourced by matter energy and eliminating the mediator, the familiar energy-product coupling emerges directly from the quantum geometry model rather than being assumed. The results connect quantum reference frames, proper-time superposition, gravitationally induced decoherence, gravitational entanglement, and the emergence of classical geometry within controlled finite models. The declared limits are finite geometry registers, simplified sourced geometry modes, and no claim of a complete theory of dynamical quantum gravity. Verification and reproducibility materials are included.