This record delivers the current, deliberately de-confounded status of the Vacuum-Emergent Substrate / Core Information Theory (VES/CIT) framework, which aims to derive gravitational dynamics from a single fundamental postulate: a scale-free informational substrate. The framework operates on a two-level architecture consisting of an instantaneous Level-0 field and an emergent Level-1 medium obtained via a local coarse-graining projection rule. Rather than claiming a fully completed predictive theory, this work calibrates what is structurally established, what remains conditional, and what is empirically open. The core results and methodology are structured as follows: Theoretical Derivation: Within a minimal local effective-field-theory (EFT) class (local, isotropic, scalar potential, single-gradient, pure power), the scale invariance of the unique cubic action ||^3d^3x in three dimensions structurally dictates the deep low-acceleration MOND law g₎₁ₒ=a₀₆_₁₀ₑ. In this regime, the framework's deep sector coincides mathematically with the Bekenstein-Milgrom deep AQUAL limit. Horizon Thermodynamics: The acceleration scale is tied to cosmic horizon thermodynamics (a₀ cH). Matching the local Rindler length to the de Sitter thermal correlation length yields a candidate normalization of a₀=cH/2. This geometric-to-thermal matching factor is physically motivated within entropic gravity paradigms but is shown to be a hypothesis tied to an unsettled cosmic entropy budget rather than an absolute theorem. Wide-Binary Empirical Test: Utilizing the Pittordis-Sutherland Gaia EDR3 wide-binary catalogue (73, 087 pairs optimized to 36, 166 after stringent quality cuts), the study presents a clean, non-degenerate test of gravity. The statistical pipeline reveals a contamination-resistant residual velocity boost of Bₕ1. 2 in the gravitationally bound core. This signal robustly survives the strictest astrometric quality tiers (RUWE < 1. 2, IPD = 0), strongly disfavouring pure Newtonian dynamics while matching external-field-effect (EFE) suppressed MOND-type gravity. Falsifiable Cosmological Prediction: By introducing a locality postulate where the projection scale is dictated by the quasi-local apparent Hubble horizon instead of a non-local future event horizon, VES diverges sharply from constant-a₀ MOND. It predicts a redshift-dependent acceleration scale a₀ (z) =a₀ (0) H (z) H₀, which implies a concrete Baryonic Tully-Fisher relation (BTFR) zero-point evolution of V₅₋₀ₓ (z) /V₅₋₀ₓ (0) = (H (z) /H₀) ^1/4 (resulting in a +16% boost at z = 1). Future high-redshift resolved kinematics (e. g. , via JWST or ALMA) capable of cleanly extracting V₅₋₀ₓ for deep-regime, low-surface-brightness galaxies serve as the ultimate discriminator. A rigorous measurement of a constant a₀ at high redshifts will explicitly falsify VES as an independent theory, resolving whether the framework represents a distinct physical formulation or an alternative mathematical re-derivation of MOND.
Mikheil Rusishvili (Sat,) studied this question.