LorentzR said:
I’m particular interested in the Pseudo-Riemann manifold where the contracted Riemann-Christoffel tensor vanishes. This is the event arena of general relativity where the geometry is locally modeled on the Minkowski metric.
Accepting the validity of relativity then a four-fold Riemann space-time must be rejected as the event arena for the physical world. We are left with the Pseudo-Riemannian Space-time.
My question is how does the photon (and the graviton) fit into such an event arena.
My feeling is, historically, these particles were initially invented to explain action at distance at a time when the geometry world was falsely thought to be Riemannian in nature. Riemannian Geometry being locally modeled on Euclid.
There is no metric for the Universe. And certainly, the perihelion of Mercury was not calculated with the Minkowski metric. And unquestionably, GPS systems do not use the Minkowski metric. The Minkowski metric is GR’s special case in which one has Newton’s Laws and a finite speed limit theory that is commonly known as, SR.
But why photons?
Why does matter choose energy in packets?
When EM waves are incident upon Hydrogen, is there some mechanism in Hydrogen that says, “we will wait a time ‘t’ dependent upon wave amplitude, to collect ‘E’ energy and then decide what to do with it.”?
Or does energy come in packets?
I picture particles like billiard balls surround by a potential barrier. When a photon hits Hydrogen, the photon can either, get over the barrier and be absorbed into the center or there is just a collision with the outer barriers. An EM wave of high energy, but low frequency has a bunch of balls, but individually, they are weak and none can penetrate the absorption barrier. These are photons. These are the packets of energy that bombard a target. The target is not bombarded by some solid piece of energy that the target chooses whether to take a bite out of or not and how big the bite should be. I see no contradictions with the photon, GR and Minkowski space.
QM showed this interaction with matter and quantized energy and QED was just the next step in saying, well, if EM waves are made of photons, then what about the rest of E&M? And QED has been tremendously successful, although, its greatest triumph of the anomalous magnetic dipole moment of the electron is not nearly as good for the muon.
And trying the same strategy to understand gravity in a similar way and make us believe in a graviton has been a failure. While I don’t believe in the graviton, GR reigns supreme here, Einstein was unable to formulate an EM theory with “his” strategy. And QM reigns supreme here.
As of today, IMO, the photon is the explanation for the EM forces and GR is the explanation for the gravitational force.
BTW, one step in disproving the photon would be to give a new model for the photoelectric effect………….just...for starters.