Thanks Peter,
You write, "as I explained in my essay, as long as one recognizes that instants, instantaneous magnitudes, space-time points etc, do not exist. . ."
Yes--but why do points not exist in spacetime?
I propose that the anwser to this is "because the fourth dimension is expanding relative to the three spatial dimensions at the rate of c, or dx4/dt=ic."
Instead of depicting matter as tiny, vibrating strings--something for which there is no proof for--why not admit the fact that the fourth dimension has nonlocal wavelike qualities, as attested to by both relativity and quantum mechanics?
Relativity relies on the photon being nonlocal, and so does quantum mechanics.
As contemplations on the photon lead Einstein to the theories of relativity and quantum mechanics that revolutionized our notions of space, time, and physical reality, this paper again turns towards the photon and Einstein's original works to shed light on time. Various phenomena in Einstein's 1905 papers can be united with a simple postulate representing an underlying physical reality from where time itself emerges--the fourth dimension is expanding relative to the three spatial dimensions at the rate of c.
Consider the emission of a photon in free space. One second later, the photon has equal probability of being found anywhere upon a sphere with a radius of 186,000 miles, as the velocity of light is 186,000 miles/second. If we covered the surface of said sphere with detectors, one, and only one detector, would detect the photon. Although having traveled 186,000 miles through space, the photon will not have aged one iota, for time stops at the speed of light. It will not have moved one iota in the fourth dimension. And there lies a clue to the reality that the fourth dimension is expanding relative to the three spatial dimensions. For how can a photon propagate
186,000 miles in the three spatial dimensions, and yet not budge an inch in the fourth dimension, unless that fourth dimension is moving right along with it, just as a wave moves right along with a surfer?
Consider two interacting photons that propagate in opposite directions, as in experiments inspired by Bell's Inequality and conducted by Aspect et al. One second later, each photon's polarization is measured at detectors separated by 372,000 miles. According to the laws of
quantum mechanics and numerous supporting experiments, the measurement at one detector instantaneously affects the measurement at the second detector. It is as if the photons are yet side-by-side during the measurement. This "spooky action-at-a-distance," as Einstein called it, is not so spooky in the context of a fourth expanding dimension, for although separated by 372,000 miles, the photons yet inhabit a common locality in the fourth dimension, as the fourth dimension is expanding relative to the three spatial dimensions, distributing locality at the rate of c. So it is that both quantum and relativistic phenomena are accounted for with the simple elegance of the postulate: the fourth dimension is expanding relative to the three spatial dimensions.
Ergo the fourth dimension has both nonlocal and wavelike properties, as it expands at the rate of c, setting both c (the velocity of light) and h (Planck's constant).
The expansion of the fourth dimension manifests itself as a spherically-symmetric probabilistic wavefront expanding at c--exactly the mechanism underlying the motion of the photon, which happens to be described by a spherically-symmetric probabilistic wavefront expanding at c by quantum mechanics. And relativity tells us that the photon remains in the exact same place in the foruth dimensions, so the fourth dimension must be a spherically-symmetric probabilistic wavefront expanding at c. Ergo the fourth dimension is expanding at c relative to the three spatial dimensions, as a spherically-symmetric wavefront with wavelength of the Planck length. Thus it is impossible to measure anything with absolute certainty, as space-time itself has a wavelike character.
The three spatial dimension are only ever known by measurement, and all measurements entail the propagation of energy, it is but mass that exists purely in the fourth expanding dimension, which quantizes it via the fact that only discreet wavelengths are allowed, as the wavelength of the fourth dimension is Planck's Length.
Please see the attached paper, which suggests that while space is bent by matter, the expansion of the fourth dimension remains an invariant. Could it be that space is not bent by mass, and that mass instead expels the fourth dimension, warping its expansion? Perhaps. Curved space would imply that time is curved by the same amount as the space, even if the expansion of the fourth dimension remained an invariant, as we only know time by space. Perhpas mass is where the expansion of the fourth dimension cannot penetrate, and thus rest mass represents a physical entity that is foreign from the fourth dimension, as well as an entity which the fourth dimension never penetrates.
Please see the attached paer.
Thanks & best,
Dr. EAttachment #1: 15_MOVING_DIMENSIONS_THEORY_EXAMINES_THE_GRAVITATIONAL_REDSHIFT_SLOWING_OF_CLOCKS.pdf
