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physics22
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Can one shed light on the velocity of the photon through the fourth dimension x4 using limits?
To begin with, please study the mathematics from Brian Greene’s book An Elegant Universe.
The upshot is that the faster an object moves through space, the slower it moves through the fourth dimension.
The four velocity of a photon, which travels at c, is generally taken as “undefined,” so instead of using a photon, let us use a particle.
Examining Brian Greene’s simple mathematics, one can see that as our particle’s velocity increases through the three spatial dimensions, its velocity through the fourth dimension shrinks.
To begin with, let us assume that our particle is traveling at .9c. Then most of its motion is directed through the three spatial dimensions.
When our particle’s velocity increases to .99c, even more of its motion will be directed through the three spatial dimensions, with less of its motion directed relative to the fourth dimension then we saw in the prevous case for v=.9c.
When its velocity increases to .99999c, even more of its motion will be directed through the three spatial dimensions.
Here it is stated that 14 digits of precision are given by our best experiments testing theories such as QED:
The Most Precisely Tested Theory in the History of Science
We can do better than this.
Suppose our particle is moving at .999999999999999999999999999999999999999999999999999999999c
Then we can effectively say, “When an entity moves at the velocity of light, all of its motion is directed through the three spatial dimensions, and it becomes stationary in the fourth dimension.”
If the above is not good enough, we can run the math for a particle moving at
.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999c
And we can then conclude that, “When an entity moves at the velocity of light, all of its motion is directed through the three spatial dimensions, and it becomes stationary relative to the fourth dimension.”
For all the naysayers out there, how many 9’s would you need in front of the c before you were convinced that an entity that moves at the velocity of light must be stationary with regards to the fourth dimension? I am prepared to give you as many 9’s you need, even a googol^googol of them and more!
Taking this limit, we see that a photon must remain stationary relative to the fourth dimension. Ergo, the fourth dimension must be moving at the velocity of light relative to the three spatial dimensions, as implied by Einstein’s/Minkowski’s/Poincaire’s dx4/dt=ic and Misner’s/Thorne’s/Wheeler’s dx/dt=ic.
:)
To begin with, please study the mathematics from Brian Greene’s book An Elegant Universe.
The upshot is that the faster an object moves through space, the slower it moves through the fourth dimension.
The four velocity of a photon, which travels at c, is generally taken as “undefined,” so instead of using a photon, let us use a particle.
Examining Brian Greene’s simple mathematics, one can see that as our particle’s velocity increases through the three spatial dimensions, its velocity through the fourth dimension shrinks.
To begin with, let us assume that our particle is traveling at .9c. Then most of its motion is directed through the three spatial dimensions.
When our particle’s velocity increases to .99c, even more of its motion will be directed through the three spatial dimensions, with less of its motion directed relative to the fourth dimension then we saw in the prevous case for v=.9c.
When its velocity increases to .99999c, even more of its motion will be directed through the three spatial dimensions.
Here it is stated that 14 digits of precision are given by our best experiments testing theories such as QED:
The Most Precisely Tested Theory in the History of Science
We can do better than this.
Suppose our particle is moving at .999999999999999999999999999999999999999999999999999999999c
Then we can effectively say, “When an entity moves at the velocity of light, all of its motion is directed through the three spatial dimensions, and it becomes stationary in the fourth dimension.”
If the above is not good enough, we can run the math for a particle moving at
.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999c
And we can then conclude that, “When an entity moves at the velocity of light, all of its motion is directed through the three spatial dimensions, and it becomes stationary relative to the fourth dimension.”
For all the naysayers out there, how many 9’s would you need in front of the c before you were convinced that an entity that moves at the velocity of light must be stationary with regards to the fourth dimension? I am prepared to give you as many 9’s you need, even a googol^googol of them and more!
Taking this limit, we see that a photon must remain stationary relative to the fourth dimension. Ergo, the fourth dimension must be moving at the velocity of light relative to the three spatial dimensions, as implied by Einstein’s/Minkowski’s/Poincaire’s dx4/dt=ic and Misner’s/Thorne’s/Wheeler’s dx/dt=ic.
:)