the probability that a surrounding atom will run into the mBH within 1 second is 1. It's like being an asteroid in a solar system where all the objects don't obey Newton's laws, but instead move around chaotically at 10¹⁵c (c =the speed of light).


I think there is a problem here, even particles undergoing fusion in the sun are no where near moving at a relativistic speed of 10¹⁵c.

Referensing the correct Temerature to Motion fomula found here

Where
kb = 6504*10^-023
T = 7000Kelvin
m = 9.4*10^-026 (mass of iron atom in kg)

Solves to
v~ = 69594.57

Vel = 120541.33 m/s

120541.33 m/s is a heck of a lot different from 299792458000000000000000 m/s (10¹⁵c)

Conversley at the corrected average velosity, it all calulates out to take 746,115,342,900,001,000,000 years for a 1 iron atom massed BH to reach a problematic mass.

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