Motion and Velocity
By Vern A. Westfall
Unfortunately we have woven our misconception that time is a real quality into our formulas with misleading terms like speed and velocity, both of which are defined as “distance” divided by “time”. Formulae for motion have been so useful in identifying past and predicting future relative positions, we assume they also prove the legitimacy of the terms; time and distance, but do they? Having a three legged horse listed on a betting slip doesn’t prove the horse really exists. If we really want to be accurate, or at least complete, we should recognize “D”, distance and, “T” time, are only comparative terms. The muzzle velocity of a bullet is described by our time/distance formula as 2,200 feet per second, and as long as we compare it to other velocities using the same time/ distance convention, we create a useful and accurate comparative concept. For example: A satellite in low earth orbit travels at about 26,400 feet per second or about 12 times faster than a bullet, but if we are after a clear and complete concept of these velocities we need to include the hidden comparisons used to arrive at the terms; (a second) and (a foot).
Most of our “time” increments are based on how far the earth turns during an artificial increment of a full revolution. For a second it is 1/86,000th of a full rotation. Keep in mind that the rotating earth is a movement, not a time and to arrive at a velocity, (in feet per second), we are dividing a comparative separation, “distance” (in this case the length of a king’s foot) by a very small fraction of one full rotation of the earth, (a comparative movement) so we are really dividing an arbitrary separation by an arbitrary movement. Distance, like time, is only a comparison and velocity, like time and distance, is only the derivative of other arbitrary comparison. All we can do is compare. Everything is changing and nothing seems established, until we get to light and then what do we do? We use the movement of a photon of light through space, (which may not be a universal constant), to measure both time and distance by inventing something we call a light year and compare one trip around the sun by our planet to a photon’s speed, which we learned above is made up of two other comparatives, time and distance. When we use the speed of light as a standard we are comparing a comparison to a comparison to arrive at a standard measurement for a (time- distance), What ever that is?
Even Einstein got tangled up in these comparisons of comparisons when formulating his field equations and arrived at his universal constant, (a concept he later called his greatest mistake). It’s difficult to think outside the practical concepts and artificial comparative standards that guide us through life. They have made us great engineers, but occasionally a human mind escapes from our conceptual traps and catches a glimpse of the magnificent swirling universe beyond our formulae and is inspired to search further. We measure distances we cannot fathom, time periods we cannot imagine and speeds beyond our comprehension and delude ourselves into thinking we are close to final answers, but, if we ever find one, will we be able to appreciate it? Look at a star and try to appreciate the fact that you are observing, not the star, but a small trace of radiation emitted so long ago that the earth has rotated 73,000,000 times since the bit radiation you are witnessing was sent out in all directions long ago.. Star light is sent out in an expanding sphere for observers everywhere in the universe, not just us. Have other observers also adopted The Light Year as a standard but based it on the orbital period of their planet? I doubt it.