i realize that this appears to be a resurrected post (or maybe it's a zombie post, if the sysops shoot it, will it die?), but i would be curious to see some response to this:
farmer said:
Do the other forces of nature have speeds, such as the electric, strong, and weak forces?
of course the "electric" force (EM) has, by definition, a speed of
c.
but my understanding from SR and GR is that it is not just gravity (or the perturbation of space-time) and EM that move at a speed of
c, but all interaction, otherwise information could move at the speed of the other fundamental interaction. is that not correct?
From discussions with some pretty heavy physicists (it's sort of amazing whom you can talk to, if you find their email address), the understanding from them that i gleaned was this: Nature has a single finite speed for these interactions (which may someday be all unified in a single theory). The salient physics is that speed is the same for all fundamental interactions and that it is finite. That is, whatever the interaction, if something changes over
here, the effect over
there, as observed by a third party somewhere else (but let's say equidistant from
here and
there), will happen at a time that is delayed by
\frac{ \left| \mathrm{locus}(here) - \mathrm{locus}(there) \right| }{c}
where
c is that finite speed.
now the salient fundamental physics is that this speed of propagation,
c, is finite, not infinite. physical reality would be different than it is if
c were infinite. but it doesn't really matter what that finite speed is since it, along with
G and \hbar, will simply define the scale of existence of things in the universe. as long as all of the dimensionless parameters of interaction remain the same (physicist
John Baez has enumerated 26 such dimensionless parameters, but says there could be more as new interactions are discovered and that new physical theories might derive some of these parameters from others, thus reducing that number), a conceptual change in
c could not be noticed by observers whose existence and scale is governed by that.
my interpretation: if God (or some "god-like" being) could reach over and turn the knob that controls
c to half of its previous value so the new
c is the old
c/2, then the Planck Length would increase by a factor of \sqrt{8} and so would the size of atoms, meter sticks, and people (from the POV of this "god-like" observer) if all the dimensionless parameters remained the same. but, also, the Planck Time would increase by a factor of \sqrt{32} (from the perspective of this "god-like" observer) and, if all the dimensionless parameters remained the same, all of our clocks would have to tick slower by the same factor. so this "god-like" observer might observe that the speed of propagation of EM (and the other interactions) now is half of what it used to be, but for us that exist within the governing of physics, we could not tell any difference. light would still travel 299792458 of our
new meters in the time elapsed by our
new second. nothing operationally would change. from the POV of our existence, no new physics would be observed.
so if you're a theist (and running with this hyperbolic or parabolic imagery), God doesn't have a control knob on His/Her toy (that we call "The Universe") labeled "
c", but He/She/It/whatever, might have one labeled "\alpha" and, perhaps 25 other such knobs (say for the cosmological constant or the masses of particles, all expressed in something like Planck units). i dunno, of course, it's just a speculative imagery that i found useful to think about what universal constants really matter and which ones do not (that is they only reflect our choice of units).