Quantum Informational Gravity: From Covariant Action to Cosmological Observables Through Curvature-Regulated Scalar Response

Quantum Informational Gravity (QIG) is presented as a covariant scalar–tensor effective framework for dark-sector phenomenology, scale-selective structure growth, and falsifiable cosmological prediction.

The framework derives a curvature-regulated scalar response from a covariant action and develops the complete theoretical chain from background cosmology through linear perturbations, effective response functions, Einstein–Boltzmann evolution, transfer functions, cosmological observables, likelihood construction, and survey validation.

The central computational bridge is:

QIG Action → Background Expansion H(a) → Effective Mass m²eff(a) → Response Functions μQIG(k,a), ΣQIG(k,a) → Einstein–Boltzmann Hierarchy → Transfer Functions → Observable Spectra → Survey Likelihoods

The framework derives the clustering response μQIG(k,a) and the lensing response ΣQIG(k,a), establishing an explicit pathway from the covariant action to matter clustering, weak lensing, CMB anisotropies, and large-scale structure observables.

A central feature of QIG is the frozen-transfer methodology, in which residual morphology extracted from one survey is projected into independent survey geometries without parameter retuning. This permits prospective validation using covariance-aware statistical tests rather than retrospective fitting alone.

This release introduces:

• Dedicated computational bridge architecture • Explicit transfer-function layer • Einstein–Boltzmann implementation roadmap • Production CLASS/CAMB likelihood roadmap • Covariance Persistence Principle • Framework Maturity Statement • Falsification hierarchy • Survey-validation pipeline for DES, KiDS, DESI, Euclid, Rubin, and future datasets

QIG is not presented as a completed observationally preferred cosmological model. Rather, it is presented as a falsifiable cosmological framework that defines explicit future tests through modified Einstein–Boltzmann propagation and survey likelihood analysis.

Scientific Status Statement

Current framework status:

✓ Covariant action and field equations derived

✓ Background cosmology derived

✓ Linear perturbation sector derived

✓ Effective response functions μQIG(k,a) and ΣQIG(k,a) derived

✓ Transfer-function bridge defined

✓ Einstein–Boltzmann insertion roadmap defined

✓ Frozen-transfer methodology defined

✓ Explicit falsification criteria defined

✓ Compatible with future DESI, Euclid, Rubin, DES, and KiDS testing

✗ Full production CLASS likelihood release pending

✗ Full production CAMB likelihood release pending

✗ Full survey likelihood evaluation pending