Cosmological Phase Drag: Resolving Dark Matter and Dark Energy as Non-Local Informational Gradient Effects

The persistent lack of direct detection of dark matter particles and the fine-tuning problemssurrounding dark energy suggest that cosmic-scale gravitational anomalies reflect an incompletedescription of spacetime dynamics. In this work, we present a self-contained theoretical frameworkoperating over a composite Hilbert space Hsys ∼= HA ⊗ HT to resolve both phenomena from firstprinciples. We demonstrate that physical spacetime geometry is an emergent manifestation of aspatial scalar field governing local informational density gradients I(x) ≡ Imax−svN(x). At galacticscales, where baryonic mass density depletes, the persistent phase drag of the underlying potentialspace H generates an effective non-local stress-energy contribution T(I), exactingly deriving the A μνBaryonic Tully-Fisher Relation without exotic matter. At cosmological scales, the vacuum stress of the informational field towards Planckian saturation Imax drives an accelerated spatial expansion identical to a dynamic cosmological parameter Λ(t) ∝ H(t)2, resolving the cosmological constant problem. Finally, we derive testable corrections to galactic acceleration profiles in low-surface-brightness regimes from geodesic equations.