Wednesday, September 15, 2010

Relativity of Count - Spin Counter

It is true that all measurements are relative. This must be true simply because a measurement is a comparison, a relative measure. But if you cross check ("transverse") and verify your measurements then correct for consistency and cohesiveness, you discover absolute measure that is the same for all. Thus measurements are only relative when you don't cross verify them and correct for the logical inconsistencies.

The following is an example of literally "cross" verifying so as to either correct for irrational conclusions, or be forced to accept even more irrational conclusions.

If we get on a train and time the train’s travel over 1000 meters, we can calculate the train’s velocity;

v = dx/dt

But if our watch is running slow, we will measure incorrectly and think the train was going faster than it really was.

v’ = dx/dt’

We know that when something moves very quickly, its clocks will run slower. So we know that we don’t have to have a broken clock for us to measure the wrong velocity. But the equation v’ = dx/dt’ requires that we make a choice that either our velocity measured, v’ is wrong or the length of the track has shortened, dx’, just because we were moving.

Lorentz
The Lorentz equations seem to have chosen to say that our distance has “really” shortened rather than say that we are merely experiencing the effects of a slower clock thus not measuring the “real” velocity. Why is that?

The result of this choice is that we have “relativity of simultaneity” saying that someone will think that 2 events happened at the same time while another thinks they happened at different times rather than having someone think he was going at one speed and another thinks that he was going at a different speed.

The Lorentz equations assume there is a "real" velocity thus there cannot be a "real" length.

Is there some reason for that Lorentz/Einstein choice?

Transverse Spin Counter
If we mount a transverse spin counter on the train and count the number of transverse spins during the train’s 1000 meter run, the Lorentz equations will yield the same number of spins as anyone at the station would count for that same length of time, especially if it is optic, because transverse time isn’t effected by linear inline motion and certainly optic time isn't. The spin counter would cross check and correct for the time dilated slower clock and measure the correct velocity.

So can we say that if a train has a spin counter on it, its length, “dx’ “ doesn’t dilate and thus when it believes things are simultaneous they really will be?

Our other choice is to say that due to Lorentz equations we must accept “relativity of count” wherein our otherwise unaffected count of anything will have to change merely because we were moving (maybe now we know where that missing passenger went?).

Always carefully cross check what is in the Coolaid.

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The Lorentz equations for calculating time and distance effects of motion have been around for over 100 years. They have always assumed that there is only one velocity measured by both moving and non-moving objects and declare that both time and distance must change to account for it. Time certainly does change in measurement for moving objects, but change in measured distance rather than measured velocity?

If we choose instead to assume that the velocity of the train were seen as being different as measured by the train rather than the distance, our spin counter would count the same for either and thus resolve this puzzle. But if we were to do that, think how many equations would have to change. Did anyone say, “job shortage”?

Always very carefully check what is in the Coolaid.

Now go back and resolve the Stopped Clock Paradox.

Monday, September 6, 2010

Resolve to the Twins Paradox – Frame of Origin


I have read many arguments concerning the issue of the famed “Twin Clock Paradox”. Very many arguments go through considerably complex explanations so as to defend Special Relativity or dispute it. But the explanation is actually much simpler.

In every proposed twins paradox, there is a Frame of Origin. The frame of origin is where the twins were at rest with respect to each other and to where they return. In the original scenario, that was “the Earth” and is referred to as “the inertial frame”.

It is called “the inertial frame” because it is the one frame declared “inertial; not movable”. But the issue comes to mind as to how either frame can be considered the one that isn’t moving. SR declares that such a notion is irrelevant. But if it is ignored, an apparent paradox arises.

So as to clear up the picture a bit, let’s presume that neither twin stands perfectly still, but rather one twin (Twin A) just very minutely drifts away from the Frame of Origin while the other twin (Twin B) takes off in his ultra fast rocket. This is merely to provide distinction and reveal that there are always 3 frames involved.

And further, so as to get away from the complexities of gravitation issues, lets put them out in space originally standing on a small floating space station far away from any gravity field.

The time dilation factor is always applied to whichever one leaves the Frame of Origin.



Twin B gets in his rocket and rockets away. Twin A gets into his rocket and sticks ores out his windows and begins to row hoping to catch a few gas particles drifting by from Twin B’s exhaust.

If we apply the time dilation to the one doing all of the serious moving, Twin B’s clock will run slower and he will age less. We cannot simply reverse the reasoning and say that it is all relative because Twin A is not moving away from the Frame of Origin.

That is pretty much the end of the story, but…

Some scenarios remove any sign of the Frame of Origin so as to make their point clear. The problem is that in every case, there must always be a Frame of Origin where their clocks were staying in sync whether anything is standing as a sign of it or not. If two items are moving away from each other, there must be a frame indicating a synchronized clock situation. The issue becomes how to find out where that frame would be.

If the ships merely see nothing but each other separating, they might not know which is accelerating from the Frame of Origin, but that is only a matter of their awareness. If they later find that one has greater time dilation than the other, it can be deduced as to which was accelerating more from the Frame of Origin.

If they see no difference in their clocks, then they can deduce that they were both leaving the Frame of Origin merely in different directions.

Without determining the Frame of Origin, the Twins cannot know which of them will age more until they meet again.