The postulated 2^nd quantization creation-annihilation operators a^t and a in the radiation-photon Hamiltonian comprise some of the many unexplained assumptions of mainstream Standard Model physics. But we show here that these operators do not have to be 'postulated'. The uncertainty principle must apply to both the sine wave photon source and its receiver allowing different source frequencies ω and ω'even for a plane wave. Thus the prosthaphaeresis formula cosω't + cosωt = 2cos(½(ω'+ω)t)cos(½(ω-ω')t) then gives this beat frequency as Δω= ½(ω-ω'). These beat frequency envelopes, or lobes, are then the 'photons' which provides the motivation for the use of a^t and a. Thus the 'photon' does not have to be postulated and we have explained its origin.

Date Published: 31 August 2007
PDF: 13 pages
Proc. SPIE 6664, The Nature of Light: What Are Photons?, 666406 (31 August 2007); doi: 10.1117/12.729236

Published in SPIE Proceedings Vol. 6664:
The Nature of Light: What Are Photons?
Chandrasekhar Roychoudhuri; Al F. Kracklauer; Katherine Creath, Editor(s)