russ_watters said:
Well, I can answer one question for you: we do not perform experiments with our eyes. Our eyes are only used to read the results, not to make the actual measurements.
As for the "why" - "why" is not a question adequately dealt with by science. For that, you may need religion because eventually the long string of "why"s will have to end with either 'God made it that way' or 'it just is'.
actually, Russ, i don't totally agree. we don't have all the answers (and i'll admit we never really will, because the more we learn, the more new questions that crop up) to the "why" questions, but if we ask the right questions, maybe someday we'll get answers to them.
we
do perform crude experiments without eyes and ears and skin and other senses. this fancy equipment of ours is really an extension of those senses. we judge distances relative to approximately the size of our bodies and we judge time relative to approximately the rate that our brains can perform simple compare-like operations (i heard, when we're about 16, we can do about 40 per second). it is no accident that a meter is roughly how tall we are and a second is roughly how long a heartbeat is. this is a "natural" anthropocentric result.
now the speed of light is simply what it is, but its numerical value depends solely on the anthropocentric units we have decided to use to measure it (the meter and the second). the gravitational constant and Planck's constant and the Coulomb force constant and Boltzmann constant are also simply what they are, but again, the numerical values they take on have to do with the anthropocentric units we have sort of arbitrarily decided to use.
if you want to get away from those man-made units, then you need to use Planck units (or something very similar) and then the speed of light is just naturally equal to 1. same for Planck's constant and G and \epsilon_0 and k.
the dimensionful numerical values they take on is just because of the size we happen to be (that is close to the meter) relative to the Planck length l_P and the way we experience time (which is in the ballpark of a second) relative to the Planck time t_P.
now, i don't know
why an atom's size is approximately 10^{25} l_P, but it is, or why biological cells are about 10^{5} bigger than an atom, but they are, or why we are about 10^{5} bigger than the cells, but we are and if any of those dimensionless ratios changed, life would be different. but if none of those ratios changed, nor
any other ratio of like dimensioned physical quantity, we would still be about as big as 10^{35} l_P, our clocks would tick about once every 10^{44} t_P, and, by definition, we would always perceive the speed of light to be c = \frac{1 l_P}{1 t_P} which is the same as how we do now, no matter how some "god-like" manipulator might change it.
so the questions to ask are not "why is the speed of light what it is?", but is why we are as big as we are relative to the Planck length, why we think as slow as we do relative to the Planck time, and why things we deal with weigh as much as they do relative to the Planck mass. if we answer those questions, then we can answer why light travels 299792458 of these lengths we call "meters" in the time elapsed in one of these periods we call "seconds". the speed of light, Planck's constant, the graviational constant, and Coulomb's constant merely define, in our already established unit system, where the scaling or tick marks of nature are. once we look at these quantities from the perspective of nature's scaling, they're all naturally just 1 unit large. then it's like asking "why is it that a Newton of force is just the right amount that will accelerate a kilogram of mass at 1 meter/sec^2? why don't we measure it to be some other amount of force?"
best,
r b-j