Paper CCXX: v2: Little Red Dots (corrected) Paper CCXX — Little Red Dots as Early Brane Focal Zones: ηSF = R1/2/(1 + R1/2)

Key Points

• The aim is to analyze the relationship between black hole mass and star formation efficiency in proto-sump focal zones.
• Analysis of Little Red Dots (LRDs) at redshift z = 4–8
• Mathematical model ηSF = R1/2/(1 + R1/2) relating black hole mass to star formation efficiency
• Correction of prior models to eliminate unphysical values for R < 1.
• Star formation efficiency peaks as R approaches infinity (ηSF → 1) and half-efficiency occurs at R = 1.
• LRD transition observed around zLRD ≈ 4.5 for MBH ∼ 108 M⊙.
• Corrected model provides physically meaningful values across the studied range of R.