Feeds:
Posts

## Majorana’s Dirac-like equation for a photon

On a discussion of the photon wavefunction approach versus standard QED, see TamburiniPhotonWavefunctionVersusQED

The Dirac-like equation for photon derived from Maxwell’s equations for a transerse field is
$(i\frac{\partial}{\partial t} - D)\psi = 0$

The solutions on a 4-sphere of radius $1/h$ are just $\phi_k(x) e^{i \lambda_k t}$ where $D \phi_k = \lambda_k \phi_k$ with $\lambda_k = \pm(2+k)h$ where $\phi_k(x)$ are eigenspinors of the Dirac operator.  Thus ‘photons’ can be identified with eigenspinors of the Dirac operator that each vibrate by different frequencies.  In particular, the claim that ‘quantization of energy is geometrically determined in an S4 universe’ is justified.