ENTANGLEMENT-WEIGHTED GRAVITY AND EARLY DUST FORMATION: A RIGOROUS THEORETICAL INTERPRETATION OF JWST OBSERVATIONS IN SEXTANS A

Recent observations by the James Webb Space Telescope (JWST) reveal the presence of iron-bearing dust, silicon-carbide grains, and polycyclic aromatic hydrocarbons (PAHs) in the extremely metal-poor dwarf galaxy Sextans A ($Z \approx 0.01\text{--}0.07\,Z_\odot$). These findings challenge the conventional paradigm that planet-forming dust requires prolonged chemical enrichment over multiple stellar generations. In this work, we present a rigorous theoretical framework based on Entanglement-Weighted Origin Gravity (EWOG), demonstrating that early dust formation and retention are natural outcomes of gravity modified by quantum-entanglement coherence in dense astrophysical environments. We derive the modified field equations, establish the Newtonian and galactic limits, and prove sufficient conditions under which dust mass grows monotonically even in metal-poor systems. Our results show that early planetary seeds can form without requiring high global metallicity, fundamentally revising timelines for cosmic complexity.