The Materialization Constant: A Parameter-Free Solution to the Wide Binary Anomaly from Self-Consistency Principles

AbstractWide binary star systems at separations > 2 kau exhibit anomalous orbital velocities inconsistent withNewtonian predictions, suggesting either modified gravity (MOND) or non-baryonic dark matter. Wepresent a parameter-free derivation of this anomaly from first principles. By applying a self-consistencyaxiom to relational state transitions, we derive a universal materialization ratio r = 1.5 with zero freeparameters. Through standard orbital mechanics, this predicts a velocity enhancement factor of √1.5 ≈1.225 (22.5% boost), matching GAIA DR3 observations within error bars. Unlike MOND, which requirestuning a0 ≈ 1.2 × 10−10 m/s2, or ΛCDM, which invokes undetected particles, our framework derives theobserved ratio from logical necessity. We compare predictions across all three paradigms and proposedistinguishing tests.