Origin of the M-sigma Relation from UIF Feeding and Eddington-Regulated Growth in the SV0 Framework

Abstract:The observed correlation between supermassive black hole (SMBH) mass M_BH and host galaxy stellar velocity dispersion σ, M_BH ∝ σ⁴, is one of the tightest scaling relations in astrophysics. Its physical origin remains a subject of debate. In this paper (Paper LIV of the SV0 series), we derive the M-σ relation from the SV0 framework. We show that the Universal Information Field (UIF, Paper XVII), which constitutes the SV0 dark matter, provides the gravitational potential that sets σ. The SMBH is continuously fed by the negative-volume sector V_B via the wormhole mechanism (Paper XL). Because the UIF density at the SMBH sphere of influence scales as σ²/M_BH, the feeding rate is self-regulated by Eddington-limited momentum feedback, yielding M_BH ∝ σ⁴ exactly. This unifies the cosmological coupling of black holes (Paper XL) with galactic dynamics and provides a first-principles explanation for a 30-year-old astrophysical puzzle. Keywords:M-sigma Relation; Supermassive Black Holes; Universal Information Field; Eddington Limit; SV0 Theory; Astrophysics; Galactic Dynamics.