Gamma

i was going to write a long post to detail some points...but instead thought i'd just focus on the gist of the argument first.

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many of you will know about the concept of the "light clock" and how einstein uses it to formulate a value for gamma.




2 mirrors (separated by some distance) face each other.
a pulse of light is sent directly from the first mirror (at bottom) towards the second mirror (at top).
upon arrival the light pulse reflects from the second mirror and travels directly back to the first mirror.
the operation continues indefinately, undergoing no change in parameters and taking the same amount of time for each leg of the journey.
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but einstein then assumes (without proof) that the light will travel from one mirror to the other in the same amount of time regardless of whether the clock is still or in motion.


here is his assumption.



nb: i've set the horizontal velocity of the mirrors equal to C simply for clarity (it could be any fraction of C).
the vertical motion is the unit measurement einstein assumes will remain constant.

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i have simulated this experiment on a computer and found that the result shown above does not occur.

it is a fantasy of einstein...the result of either false expectations or mistaken assumptions.


here is the reality.



as you can see...movement of the mirrors has no effect upon the light pulse...which continues it's predetermined journey at speed C.

but now instead, there is no mirror to reflect from when it arrives.
because in effect, the mirror has "dodged the bullet".

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this immediately shows that something is wrong with einstein's "thought experiment".
if the light pulse is operating like a bullet?, then we would actually need to aim it at a point the mirror will occupy sometime in the future.

this brings to mind the concept of an "interception course"...yet einstein believes this to be "a given" in his scenario?

and what if we do aim the light pulse at the correct interception coordinates?


again...here's the reality.




the light pulse can't reach the mirror since the diagonal distance is always longer than the vertical distance (or unit time allowable).

and that situation was directly caused by altering the coordinates of the 2nd mirror and thereby increasing the real physical distance.

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another way of showing the distance that light can travel in this exercise is by modelling it as a wave.

this negates the problem of interception, since the wave will travel in all directions.

but still it can't reach the mirror in the unit amount of time.




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conclusion:

einstein is wrong.

gamma cannot be formulated because his assumptions are false.

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nb: although the data has been displayed in a simple animated gif format..each frame may be regarded as a sample point from a continuous simulation.

the simulation is based on simple yet accurate calculations..and the results are displayed with pixel accuracy.
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