http://arxiv.org/abs/1905.08206
While quantum field theory is at the heart of our understanding of a large variety of phenomena, there remains some discrepancies between theoretically predicted and observed quantities in the very-high-energy (VHE) domain. In this work, starting from commutation relations between phase-space operators (in “first quantization”) we define averaged creation and annihilation operators and show that they satisfy a simple, deformed commutation relation. By extending this relation to the quantized electromagnetic field, we are led to non-linear de Broglie relations for photons, which appreciably differ from $E=\hbar \omega$ and $\mathbf{p}=\hbar \mathbf{k}$ only in the VHE regime. The nonlinear Compton scattering that follows from these assumptions is discussed. We suggest that this hypothesis may be a way to deal with the pair-production anomaly and show that it may lead to an attenuation in the cosmological-constant problem of several orders of magnitude.
F. Parisio
Tue, 21 May 19
15/71
Comments: N/A