Emmanuel,
Very interesting essay.
Just as a rhetorical question, what happens to photons at very low temperatures?
As you point out, waves are continuous photons, so presumably if these waves were "entangled"/ synchronized, than multiple photons would function as one.
So what happens if we stretch that wave as far as it will go, to near infinity/chill it down to near absolute zero? Does it break down at some point into particle photons and as waves, curl up in themselves?
I raise this issue because, if space is ultimately flat, then gravity balances the expansion of space, so there would be no additional expansion and thus the universe is stable. Since mass does heat up and break down, radiating out light, it would seem the gravitational collapse is counteracted by the expansion of radiation. So my question is whether light can turn back into mass at very cold temperatures. Fission is hot. Is fusion very cold?
It seems to me that Inflation is an extremely ad hoc and frankly preposterous explanation for why cosmic background radiation is so smooth. A more logical explanation is that this is some sort of phase transition level. Such as that due to the quantum limits of light, it cannot expand to infinity and at a certain point, after it has traveled for 13-14 billion years and fallen off the infrared end of the spectrum, it starts to break down the wave aspect and the particle functions remaining start coalescing and the whole process of gravitational collapse begins.
In your essay on time, you conclude with the observation that: Moreover, what we usually call time is not fundamental in the General Relativity and comes from the time variable.
I also think time is not fundamental, but for more prosaic reasons. Consider: If two objects hit one another, it causes an event. While the physical entities go from past events to future ones, these events go from being in the future to being in the past. Thus there are two directions of time. The physical present going from past to future, while the conformational states of these events go from future to past. Tomorrow becomes yesterday because the earth rotates. This raises the issue of what is more fundamental. Currently the assumption is of time moving past to future, so this implies the series of events are foundational and the present moves along them. It seems more logical though, that the manifest physical presence is more fundamental and these events are the transitional effects. So it would seem the present is the constant, which the events come and go, from future potential to past circumstance. We still see the sun moving across the sky, but know we know it is the earth that moves.
Since the full range of input cannot be determined before the occurrence of an event, it is this collapsing of possibilities that leads to the occurrences we register as the series of temporal events, so future is cause and past is effect. It is only when we examine events in the past tense that we order them as the series and list prior events as cause to subsequent ones, even though any prior event can only be a partial explanation for any subsequent event.
The conclusion then, is that time is an effect of motion, not the basis for it. It would be the sequential ordering of change, much like temperature is an effect of motion, that of the level of activity.
So it makes sense that every clock records its own time and similar clocks will record different rates of change under different conditions, but this is not due to following separate time vectors, only different "burn" rates.
Rather than refining the clock function down to its most precise measurements and considering this the more valid measure of time, time is an effect of all change, not just the most calibrated.
A logical consequence of this is that there can be no dimensionless point in time, as that would negate the very motion causing it, much like trying to take a picture with the shutter speed set at zero.
The only absolute time would be the cessation of all motion, just like the only absolute temperature is the cessation of all motion.
This means that there is no such thing as absolute position and an entity cannot be isolated from its motion. It is both particle and wave, whether it's a photon or a car.