Supermassive Black Holes in the Early Universe: JWST Enhancement Theorem
JWST-observed 10⁹ M☉ black holes at z~7-13 are explained by the JWST Enhancement Theorem (V.T239): deeper gravitational potentials at high redshift drive 5.4× star-formation efficiency at z=13 (V.P163), growing SMBHs from primordial gas. No primordial black holes required.
Overview
JWST observations of 10⁹ M☉ supermassive black holes at redshifts z~7-13 present a severe growth-time challenge to orthodox ΛCDM: less than a gigayear is available for these black holes to form and accrete to their observed masses. V.T239 (JWST Enhancement Theorem, Book V ch36 “Galaxy — Relational”) resolves this by deriving the redshift-dependence of the acceleration scale as H(z)/H₀, producing deeper gravitational potentials and enhanced star formation at high z. V.P163 quantifies the effect: star-formation efficiency is enhanced by a factor of ~5.4× at z=13, sufficient to grow SMBHs from primordial gas without invoking primordial black holes, heavy seeds, or super-Eddington accretion episodes.
Detail
The JWST early-universe SMBH puzzle is currently one of the most visible open problems in high-redshift astrophysics. Candidates such as UHZ1 (z≈10.1), GN-z11, and CEERS-1019 require 10⁷-10⁹ M☉ black holes in place when the universe was less than 500 Myr old, straining every orthodox formation channel. Book V ch36 (books/V-CategoricalMacrocosm/latex/sections/part05/ch36-galaxy-relational.tex) and ch42 (“EHT Re-read”) treat the question within the relational τ-framework. V.T239 establishes that the acceleration scale a_0 scales with redshift as H(z)/H₀ rather than remaining fixed — a structural consequence of orbit-depth-dependent readout (the same mechanism that resolves the Hubble tension). Deeper high-redshift potentials translate into enhanced star-formation efficiency; V.P163 derives the factor 5.4× at z=13 from the sector-coupling geometry. This enhancement shrinks the cosmological budget problem: rapid SMBH growth from primordial gas collapse is compatible with JWST observations without exotic seeds. The prediction is falsifiable: JWST rotation curves at z~1-3 should show a specific acceleration-scale enhancement signature tied to the same H(z)/H₀ scaling.
Result Statement
V.T239 + V.P163: The acceleration scale scales as H(z)/H₀, producing 5.4× SFE enhancement at z=13. JWST-observed 10⁹ M☉ SMBHs at z~7-13 grow from primordial gas within the available cosmological time — no primordial black holes needed.