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Energy Density CBR vs MW at 1pc vs MOND
MOND is presented as a modification of gravity that kicks in when the
local acceleration reaches a low value. I'm wondering whether anyone has noted the coincidence of the following values.............(and as well, whether I've goofed in the calculations and or the values I'm using) According to various plots for MW stellar rotation curves, MOND kicks in at about a radius of R = 1kpc = 3.086E19 m The best value I have so far found for the number of stars within that radius is about N = 12.3E9. inside of radius 1kpc This yields L = 4.75E36 J/s and a volume for the sphere of V = 1.23E50 m^3 If I consider the energy released per dt = 1.0 second (which is the energy flowing outward through a spherical shell of radius 1kpc), I find the energy density within the radius R, per second of energy emission, to be Rho_E MW = L dt / V = 3.86E-14 J/m^3 = 3.86E-14 Pa The energy density of the CBR is around Rho_E CBR = 4.16E-14 Pa, which is essentially the same value In other words, the radius where the energy density of MW emissions per second matches the energy density of the CBR happens to be at 1kpc, where the MOND effect kicks in. So, at least for the MW galaxy, if I've done the math right, MOND kicks in at the same place where the energy density of light being generated within the the interior of the MW galaxy, matches the energy density of the CBR. Did I do the math right and or are the values I'm using about reasonable? Ross |
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Energy Density CBR vs MW at 1pc vs MOND
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