
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.
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.
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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