What question did this study set out to answer?

The paper aims to comprehensively synthesize the Information-Driven Gravity framework and its implications for gravitational predictions.

April 25, 2026Open Access

Information-Driven Gravity: Tensor Completion, Ghost-Freedom, and Euclid Predictions (Synthesis)

Key Points

The paper aims to comprehensively synthesize the Information-Driven Gravity framework and its implications for gravitational predictions.
Derives the scalar action through Wilsonian renormalization group techniques.
Analyses ghost-freedom with two independent proofs and establishes key geometric identities.
Evaluates predictability and detectability using Euclid mission parameters.
Demonstrates gravitational slip prediction η_IDG(k,z) with η < 1.
Establishes SNR = 1.0 at β = 0.1 and SNR = 3.83 at β = 0.2 for Euclid detectability.
Confirms Tensor IDG is outside the Horndeski class through multiple independent arguments.

Abstract

Synthesis paper presenting the complete Information-Driven Gravity (IDG) program across Papers I–VIII. Covers: Wilsonian RG derivation of the scalar action, the scalar trilemma and its tensor resolution, ghost-freedom via two independent proofs (Fisher-Rao kinematic argument + determinant lower bound theorem), the exact geometric identity fₐniso = 1/4, gravitational slip prediction ηIDG (k, z) = 1 − A (z) ·k²/ (k²+mₛ²) with η < 1, Euclid detectability analysis (SNR = 1. 0 at β = 0. 1, SNR = 3. 83 at β = 0. 2), proof that Tensor IDG lies outside the Horndeski class via three independent arguments, and a first-principles derivation of the Fisher-Rao identification via the Chentsov-Amari uniqueness theorem. Falsifiability window: Euclid/DESI/Rubin 2028–2035.

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