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Report . 2025
License: CC BY
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A Laboratory Test at the Quantum–Gravity Interface _ Ξ-EFT 2.1

Authors: Pravda, Pixie;

A Laboratory Test at the Quantum–Gravity Interface _ Ξ-EFT 2.1

Abstract

Version 2.0/2.1 UpdateFollowing correspondence with Prof. Wolfgang Ketterle (MIT, Nobel Laureate 2001), this version refines the experimental focus and formalizes the cold-atom interferometry path-validation protocol as the primary empirical route for testing Ξ-EFT. It specifies the three high-sensitivity laboratory platforms suitable for falsifying the predicted decoherence plateau—levitated optomechanics, molecular interferometry, and pivoted ultracold-atom interferometry—and introduces the exclusion-curve formulation C(T)=C₀ · \exp[-(Γ_{tech}+Γ_Ξ) T]. It refines Test 2 (Molecular Interferometry) to use the Talbot–Lau visibility-floor formulation — replacing the earlier “contrast-decay vs time” model — and explicitly defines the intrinsic rate as Γ_Ξ ≈ κ / (m σ²). The change improves conceptual realism and experimental feasibility while leaving the overall framework and other tests unchanged. -------------------------------------------------------------------------------------------------------------------- This white paper presents Ξ-EFT (Xi Effective Field Theory), a framework introducing a dimensionless field Ξ that interpolates continuously between quantum (Ξ = 0) and gravitational (Ξ = 1) behavior. The theory predicts a falsifiable bridge between coherence and curvature—a measurable decoherence plateau governed by the Kappa–Sigma (κ–σ) law: Γ_F ≈ (κ ħ)/(m σ²) where Γ_F is the Fisher-induced decoherence rate, m the mass, σ the spatial width, and κ a dimensionless coupling analogous to α or G. Three laboratory platforms are already capable of testing this prediction: Levitated optomechanics — coherence-time plateau at Γ_env ≈ 10⁻⁸ s⁻¹ Molecular interferometry — visibility floor under ultra-high vacuum ⁸⁷Rb BEC free expansion — width saturation against ballistic growth Synthetic verification (10⁶ trajectories) confirms the 1/σ² scaling (R² ≈ 0.999) and on-shell energy-momentum conservation. Observation of any plateau, floor, or saturation at the predicted thresholds would constitute direct empirical evidence for a continuous field linking quantum decoherence and gravitational dynamics; absence would falsify Ξ-EFT. Annex A provides a fully reproducible Python notebook that generates the four reference figures in < 5 minutes, establishing a self-contained benchmark for independent replication.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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