P = (2/3) (w sub 0) ((e squared) / (R)) (beta cubed) ((E / ((m sub 0) (c squared))) exponent 4)
= (2/3) (((e squared) / ((m sub 0) (c squared))) squared) (c) (H squared) (gamma squared)
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P = (1.59 x (10 exponent -15)) (H squared) (gamma squared) [checkmark here]
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Hoyles main point:
Knowing energy spectrum of electron one may calculate spectrum of radio frequency (cosmic noise) of radiated electromagnetic radiation.
Assume alpha [N? v?] = (alpha [gamma?]) / (gamma cubed)
diff. spectrum of [electron?]
Each electron radiates at rate ~ (gamma squared)
Power spectrum ~ ((d)(gamma)) / [gamma? v?] = ((d)([gamma? v?])) / [gamma? v?] = (d) (P)