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Quantum Informational Gravity (QIG): A Unified φR + φF² Lagrangian Linking Curvature, Quantum Fields, and the Dark Sector

Authors: MANCINELLI, Joseph;

Quantum Informational Gravity (QIG): A Unified φR + φF² Lagrangian Linking Curvature, Quantum Fields, and the Dark Sector

Abstract

Quantum-Informational Gravity (QIG) provides a unified scalar-field framework that connects dark matter, dark energy, and information geometry through a single, canonical Lagrangian. This release contains the complete Overleaf/arXiv source files and the updated analytic formulation of both the scalar-field dark-matter model and the QIG information manifold. The technical content includes: the full scalar-field action and Euler–Lagrange equations, background evolution across slow-roll, kinetic, and oscillatory regimes, derivation of the effective equation of state and CDM-like behavior, linear perturbation equations in Newtonian gauge, analytic expressions for the microscopic and effective sound speeds, Jeans scale evolution and clustering criteria, viability constraints from Lyman-α, structure formation, and oscillation onset, stability conditions ensuring the absence of ghost, tachyonic, or gradient instabilities. The QIG extension introduces a convex information manifold that constrains probabilistic state evolution and provides a geometric alternative to conventional linear embedding spaces. This structure mitigates instability modes and precision-loss accumulation and offers a principled explanation for hallucination behavior in multi-head attention architectures. Scope and Assumptions: The analysis is performed strictly within general relativity, a canonical kinetic term, and smooth potentials. No new forces, exotic interactions, or nonstandard gravitational terms are introduced. The results serve as a concise, unified reference for canonical scalar-field phenomenology. Limitations and Future Work: Nonlinear structure formation, full Boltzmann-code analysis (CLASS/CAMB), and UV model-building lie outside the present scope and are reserved for follow-up work. This archive provides a reproducible and canonical baseline for scalar-field dark-matter studies and the continued development of the QIG formalism.

Keywords

Informational Field Theory, scalar–tensor gravity, informational, Quantum gravitational information, Lagrangian, scalar-tensor gravity, modified gravity, emergent dark matter, quantum vacuum, informational field, DESI 2024, dark energy w←−1 crossing.

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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!
0
Average
Average
Average
Green