Thursday, September 29, 2016

TIME

The SI unit of pressure is the Pascal.......it has dimensions of kgxm-1xs-2 and that is counterintuitive.........Bridgman realized this and invented his own pressure unit of kgxm-2..........but it was never generally adopted..........the 3 basic units in SI system are length (m) and mass (kg) and time (s)...........it would seem that time is unavoidably entangled within the mathematics of physical theory.....Electromagnetic waves are characterized by photon length (the wavelength) and photon time (the frequency) and photon energy (the combination of photon length or photon time with Planck's constant). The standard of time is defined by a characteristic photon length or photon time.......It would thus appear that time and length have a reciprocal relationship to each other in physics..........i.e. photon length is reciprocal to photon time and the proportionality constant is the speed of light c...........It can be no other way and without time as a standard dimension in physics one would also have to do away with length as well because of their reciprocity in electromagnetic theory.....In quantum theory there are the uncertainty relations where time is a conjugate variable to energy and linear momentum is the conjugate variable to position, The commutator of time and energy and, conversely, position and linear momentum, is of course i(x)h(bar)........and then of course the product of the uncertainty in time and the uncertainty in energy, within a quantum system, is constrained to be greater than or equal to h(bar).......and analogously with position and linear momentum within a quantum system the product of the uncertainties is greater than or equal to h(bar). The dimensions of multiplying together time (s) and energy (kg(x)m^2(x)s^-1) is of course the "action" and this is the dimensions of the reduced Planck constant h(bar). And similarly for position multiplied by linear momentum. Time in quantum theory is thus a conjugate variable to energy.........but is it not construed as the inverse of energy..........in the same sense that photon length and photon time are opposite aspects of the same thing.......connected together by the speed of light c...........Time and length are intimately connected together thus and physical theory cannot dispense with time any more than it can dispense with the measure of length (m) within a physical system..........MJB

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