PROCEEDINGS ARTICLE | August 31, 2007

Proc. SPIE. 6664, The Nature of Light: What Are Photons?

KEYWORDS: Veins, Clocks, Polarization, Particles, Physics, Free space, Fractal analysis, Quantum physics, Quantum mechanics, Correlation function

Here we postulate a geometrical 2D closed path invariant ds=ds_{t}+ds_{Φ} (geometrical interpretation) with the
observer's own 2D ds=ds_{t}+ds_{Φ} then giving a total direct sum 2⊕2=4 degrees of freedom for the resulting
(observer translation) Dirac equation pde and its ψ. There are several, more or less technical, ways of stating the
consequences of that new "observer interpretation" Dirac equation pde. Two such ways are "wave function
collapse," and in a more common sense vein "Bertlmann's socks." Note that wavefunction collapse to ψ then
(and experimental nonlocality implications) is the "observables translation" of that fundamental postulate and
so not itself postulated. Also that geometrical postulate does not allow a Bohmian hidden variable
interpretation because of its fundamental nature (i.e., we cannot go any deeper). For example that postulate
states no x or p that we would be certain of in some hidden variable context. Thus we can ignore here the straw
man arguments of J.S. Bell that are in response to Bohmian hidden variable theories only. Thus there cannot
result Bell's kink at θ=0 in the correlation function between the polarization measurements on the two ends of
an EPR experimental apparatus (Bell, 1987). Recall this kink required correlating in a hidden variable, classical
statistical mechanical context, with resulting superluminal implications. Also note here the "observer
interpretation" boundary condition conservation of angular momentum of the initial singlet state for our 4D
Dirac pde results in this being a time independent solution to this pde. Thus wave function collapse to the
measured value in no way implies superluminal communication. In laymen terms it is just the Bertlmann's
socks common sense fact that we knew before hand about the original singlet state of the central emitter, no
superluminal communication between the left and right ends of the Aspect apparatus was required to know
about this. Thus our new observer representation Dirac equation pde (the below equation 3.7), and the
geometrical postulate it originated from, solves the nonlocality problem which has been an enigma to physics
ever since that original EPR paper of many decades ago. This is relevant to the origin of the photon since this
wave function collapse is also a basic behavior of light and photons.