Monday, September 02, 2024

[erlrqhiz] hydrogen as a dipole antenna

if we hypothesize that the 21 cm hydrogen line is produced by a half-wave dipole emitter, then this predicts that the hydrogen atom is 10.5 cm wide.   the actual diameter of the hydrogen atom is about 1e-8 cm, so the error factor between theory and experiment is about 1 billion.

we can go further, seeking greater error.  the 21 cm hydrogen radiation has energy (c*h / (21.106114054160 cm)) = 5.8743262 micro eV = 0.068168725 boltzmann degK per photon.  ascribing that energy change to a change in distance between the hydrogen's electron and proton, the distance change (obtained by solving the quadratic of the Coulomb force) is -(k_C*e^2 / (c*h / (21.106114054160 cm))) + sqrt((k_C*e^2 / (c*h / (21.106114054160 cm)))^2 + bohrradius^2) = 5.7462715e-16 cm via the "units" program.  the error factor compared to the predicted (21.106114054160 cm)/2 dipole antenna is 1.8365051e+16.

these are bad predictions, but not even remotely close to the 1e+50 or 1e+120 error factor of the vacuum energy density, the "worst prediction of all science".

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