Posted on 06/01/2015 12:19:56 AM PDT by 2ndDivisionVet
also is the pesky fact that the speed of light has been shown to vary ... too complex for my thought processes and am going to have to sleep on the graph ... At least the graph has some flat surfaces ...
maybe it is as simple as understanding Buzz Light Year ... To Infinity and Beyond
The mathematical relationship between the two paths is simply based on the Pythagorean Theorem for right-triangles that many of us used in high school.
Here is that mathematical relationship (between time as perceived by the two different observers) that is derived from the familiar Pythagorean Theorem (a squared + b squared = c squared, c being the longest leg of the 90 degree (right) triangle depicted in the above illustration):
where delta t' = the time in one frame of reference, and delta t = the time in the other. v = the rate of relative motion between the two, c = the speed of light
one problem ... space does not always allow for right triangles instead space/time, according to Einstein, warps or curves based upon perceived orbits observed and unknown orbits unobserved yet perceived? And the search for the point of universe origin is perceive as a single point in time/space ... ?
Light itself does vary its speed through different materials, but the 'speed of light' is also the universal speed limit to which events can propagate. ie, light itself can at times move slower than the speed of light.
am asking too many questions ... One final question and will leave for the evening/morning ... Is the equation contest still ongoing or have the set of equations posed been solved, money paid, and new set of equations posed?
That perceived "curvature" is merely a series of linear (straight line) events as depicted in the graphic--a series of linear events stacked onto one another. Curved space falls under General Relativity. GE deals with ACCELERATED rates of relative motion (in addition to uniform/constant rates of relative motion, as described by Special Relativity). The graphic depicts a state of constant motion between two observers (v), and thus would fall under Special Relativity. GE is therefore the more complete of the two theories.
In other words, if the rate of relative motion ("v") as depicted in this graphic was less than depicted, the angle of the line would be closer to vertical than in the graphic. If the rate were greater, it would be closer to horizontal, the extreme (but impossible) case being v=c, where the light pulse would NEVER reach the opposite end of the apparatus. Of course if v=c, time would be precisely the same for both observers, as there would be no relative motion between them. They would be "at rest" with respect to each other.
The dictum of math teachers from first grade onward: “Show your work.”
ie, if rate of relative motion was changing (accelerated relative motion as described in GR) the angle of the line would constantly change resulting in a ‘curved’ line, as opposed to a straight one as depicted in the graphic.
GE in my previous posts should have been GR.
and perception is ‘v’ can only equal ‘c’ during a nuclear explosion ... so to attain ‘t’ constant ... ‘v’ would equal ‘c’
I KNEW the Pope was involved somehow.
The way Calvin's dad explained it, the reason time goes slower at great speed is "because you keep changing time zones. See, if you fly to California, you gain three hours on a five hour flight, right? So if you go at the speed of light, you gain MORE time, because it doesn't take as long to get there. Of course, the theory of relativity only works if you're going west."
http://www.s-anand.net/blog/calvin-and-hobbes-dad-explains-science/
This seems pretty simple to me, not hard to understand at all.
Where did you read or hear that? It is impossible for v to equal c. Theory states it would require an infinite amount of energy to accelerate something to c, the speed of light. Energy is not infinite in the universe. As things accelerate towards light speed their mass increases more and more, to the point where it would get harder and harder to accelerate them. As the acceleration moves the object close to light speed, its mass would grow towards infinity. In the impossible case of v=c, the mass would be infinite.
Absolutely! I have no idea what you just said, but it sounds right!
Nope ... am wrong ... bet on it!
You can't travel through something that isn't there.
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