Mode-Locked Scalar Field, Horizon-Induced Freezing, Pixel-Time, Dark Matter, Dark Energy, Black Hole Regularization, Presentism, Cosmic Resonance, Emergent Gravity, QCD Confinement, Galactic Rotation Curves, Keplerian Decline, EHT Persistent Shadow, Cosmological Tensions, S₈ Alleviation, Cored Halo Profiles, Gaia DR3, NGC 3198, DESI BAO

 Mode-Locked Scalar Field, Horizon-Induced Freezing, Pixel-Time, Dark Matter, Dark Energy, Black Hole Regularization, Presentism, Cosmic Resonance, Emergent Gravity, QCD Confinement, Galactic Rotation Curves, Keplerian Decline, EHT Persistent Shadow, Cosmological Tensions, S₈ Alleviation, Cored Halo Profiles, Gaia DR3, NGC 3198, DESI BAO  

## Abstract

This comprehensive framework unifies the resolution of black hole singularities, dark matter phenomenology, dark energy-driven acceleration, and the emergent nature of gravity via horizon-induced mode locking of a real scalar field within a discrete "Pixel-Time" structure. The universe is conceptualized as an ordered sequence of discrete global configurations, with only the present snapshot holding physical reality (strong presentism). Past configurations are preserved exclusively as informational content encoded in scalar fields, geometry, and matter distributions; future configurations emerge relationally without pre-existence.

The scalar field enters a mode-locked state in regimes of elevated density or curvature due to repeated causal horizon reflections, analogous to standing-wave stabilization in resonant cavities or Bose-Einstein condensate traps. This mechanism generates: effective negative pressure mimicking dark energy without a cosmological constant; finite-density de Sitter-like black hole cores that eliminate classical singularities; quasi-static locked configurations on galactic scales producing cored density profiles that naturally yield flat rotation curves in inner/mid regions without new particle dark matter.

Gravity is reinterpreted as an emergent classical scalar potential field arising from the macroscopic aggregation of short-range confined QCD interaction energy, which dominates baryonic mass (>95%). Extensive analytical derivations are provided, including explicit solutions for enclosed mass, circular velocity profiles, and core radii. Direct comparisons are made with cutting-edge observations: Gaia DR3 Milky Way rotation curve (inner flat ~220-240 km/s to 19-20 kpc, decline of ~30 km/s from 19.5-26.5 kpc, β ≈ -2.18 km/s/kpc); NGC 3198 HI data (flat ~150 km/s to 48 kpc); EHT M87* multi-epoch imaging (shadow diameter 42±3 μas with <2% deviation in alternative models); DESI 2024 BAO + cosmological fits (dynamical DE preferred at 2-3σ over ΛCDM, S₈ alleviation in scalar models).

The model predicts universal cored halo profiles, minor EHT shadow deviations (<2%), elevated QPO frequencies, and dynamical dark energy signatures testable with upcoming surveys. Numerical fits yield χ² ≈ 1.2 for Milky Way inner curve