You would argue with a brick, John. As long as you continue to draw your information from crank sources and your personal experience, that's as far as your arguments will go.
"Yet someone (Einstein) once said, 'Space is what you measure with a ruler and time is what you measure with a clock,' but obviously he must have been wrong, since, according to Tom, clocks don't measure anything."
Dude, that is Einstein starting to explain *why* clocks don't measure anything.
" ... they all seem to exist in the same reality, but different inertial frames within that larger reality. So they change at different rates in that larger reality, necessitating their coordination."
No, John. There is no "larger reality" -- all physics is local and all observers' measurements are valid.
"'Do you think the hands on your bank's tower clock cover the same distance as the hands on your watch?'"
"If you read what I write, you would notice I say degree of distance. Each minute on both clocks is 6 degrees."
I read every word you write, John. What distance equals "6 degrees"?
(Feynman) "Suppose you have a particle and it starts somewhere and moves somewhere else.."
(you) A vector."
No, John. A vector specifies direction. What direction is "somewhere else"?
(Feynman) "If you calculate the kinetic energy, at every moment on the path, take away the potential energy and integrate it over time during the whole path, you find the number you get is bigger than that for the actual motion. "
(you) "Now assuming a number is a quantity(lowest possible), I take it to be a scalar."
And you would be wrong again. What Feynman is saying, which he makes clear later, is "The miracle is that the true path is that for which the integral is the least." A scalar is a measure of magnitude. The integral governing the principle of least action (more accurately, stationary action) has no magnitude.
Best,
Tom