Persol, I submit the following in response to your request:
Relativity, The Special and the General Theory;A. Einstein, Fifteenth edition, June, 1952; reprinted by Random House, 1961.
Chapter III,
Space and Time in Classical Mechanics, pp9-10
persol said:
quoting EinsteinI've underlined the mistake I referred to in my earlier post. What I attempted, in my poor way, is that there can only be an independent trajectory - a real trajectory independent of observation. I'll restate my position that Einstein was wrong in concluding that space and time are relative to the observer. It is the observation that is relative and not the event. The event is always real. What a merry chase we've been on these many decades!
Your disageement with Einstein is moot, nonexistent. The observer and the observation ae interchangeable in the quote. There are however REAL flaws other than the one you discovered.
Persol said:
quoting Einstein
It is not clear here what is to be understood here by "position" and "space." I stand at the window of a railway carriage which is traveling uniformly, and drop a stone on the embankment, without throwing it. Then, disregarding the influence of the air resistance, I see the stone descend in a straight line. A pedestrian who observes the misdeed from the footpath notices that the stone falls to earth in a parabolic curve. I now ask: Do the "positions" traversed by the stone lie "in reality" on a straight line or on a parabola? Moreover, what is meant here by motion "in space"?
Einstein didn't let the stone strike the ground and he is assuming the train is moving. Likewise, AE didn't consider the obsever, or the observation, that the train is speeding over the ground with a velocity and a momentum that is shared by the momentum, mv, of the stone. The stone strikes the ground and does what? It has to bounce straight up less a little due to the friction losses when the stone hits the ground. Also, an observer looking at the stone, the ground and the train, who understands the ground observer sgnaling "parabolic trajectory", then only by an arbitrary and confusing contrivance can there be any serious doubt what space and motion mean.
Try this gedanken: As soon as the stone leaves the obsever's hand immediaely remove the entire train and the ground. You as the oberver are located at the exact spot in space when and where the stone left the observer's hand. You will see the stone move s"down" and to the "direction" of the train. I realize the technical difficulties of being in space with no reference point ,but that can be fixed. Simply accelerate away from the earth and maintain a constant velocity in a straight line for a year or so, then decelerate to a velocity that would equal that which initially propelled you into space. Then relative to the earth, "the embankment", you are the ground obsever, the stone is the train. The stone is accelerated by its intrinsic propulsion system that cuts off when reaching a velocity comparable to that of the train, then is given a boost perpendicular to the stone velocity vector 'down, If you stick your hand out that would interfer with the linear sideways momentum of the stone you would feel it, the motion of the stone I mean, striking your hand after travelling through space. The parabolic trajectory would be the only thing the observer would see. The stone with clever radar reflecting ability would also measure the parabola, especially when it considers its initial acceleration to a speed > 0.
All AE had to do, simply said, is look at the ground, the train, the wind, the ground observer and recognize tha the ground never accelerates the tiniest bit with a resulting increase in velocity > that unacelerated velocity, and a velocty contributing tot he rel;ative vlocity pof rain and ground. This is oo obvious to miss.. Persol, you tell us the earth is accelerating in its orbiting trajectory. This acceleation is insignificant in any relative motion between train and ground and you knwo it , or should know it. This circular orbiting acceleration is of a mode, a nature that transcends the relative velocity producing acceleration of the train velocity, which is the only inertial frame that is moving in the measure of the train/earth inertial system.
Persol said:
continuing quote of Einstein
(snip)
...we are in a position to say: The stone traverses a straight line relative to a system of co-ordinates rigidly attached to the carriage, but relative to a system of co-ordinates rigidly attached to the ground (embankment) it describes a parabola. With the aid of this example it is clearly seen that there is no such thing as an independently existing trajectory (lit. "path-curve"), but only a trajectory relative to a particular body of reference.
AE is taking his gedanken and stuffing it in a vacuum ignoring all the forces and reality that produces the relative velocity in the first place. The absolute velocity of participating inertial systems, where a measured relative velocity > 0 is measured , then the absolute velocity of the moving inertial frames can can also be measured, with trivial simplicity
absolute velocity can can also be measured, with trivial simplicity.
Geistkiesel
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