Originally posted by CircleOfDust
reply to post by eriktheawful
You didn't watch the video.
"Therefor there's a fundamental flaw in the formulation of Einstein's theory of Relativity"
Michio Kaku
Yes I did (and again you show that you love to make assumptions about people).
And you are still not getting it:
The answer of "infinity" when we divide by zero is showing an impossibility to something as we understand it or under the normal laws of physics
(which as been pointed out to you, those laws break down the closer you get to a singularity).
It's simply a math expression to show something. For example let us say you are eating some oranges.
You have 5 oranges, and you eat all 5 of them. Thus 5 - 5 = 0. It is a math expression to show that you no longer have any oranges.
Let us say you go to the store and get 5 more oranges. But let us say that now you have eaten 6 oranges, even though you only actually had 5:
5 - 6 = -1
-1 is an imaginary number. It is an expression that is saying that some how you ate more oranges than you actually had. We know in reality that you
can't eat 6 oranges when you only have 5. It's impossible.
The same goes for dividing by zero. It is simply an expression to show that something would take an infinite amount of something to be achieved.
Since you like to pick on poor old Albert so much, let us take a look at his
Time Dilation due
to relative velocity:
"Basically, a person gets on a spaceship and starts to accelerate. If they start getting close to the speed of light, they will experience time
dilation where time for them will pass slower than those who are at rest, or moving slower relative to them."
So, how do we express the above with a math expression? Why with this:
Which is defined as: The amount of time dilation is = to the amount of time in flight, divided by the square root of the ship's velocity squared
divided by the speed of light squared and subtracted from 1.
The cool part of math expressions like this is, you don't have to actually use the real velocity of the ship and the real velocity of light, but can
instead use percentages expressed in decimal form and it will work.
So given that "c" will equal 1.00, for 100% of the speed of light.
Now let us give it a quick try. Let us say that our brave astronaut is in a ship and it achieves 98% of the speed of light, and they flew around for 1
year ship time:
"v" is 0.98 and 0.98 squared = 0.9604
"c" is 1.00 and 1 squared is 1.
0.9604 divided by 1 is 0.9604
1 - 0.9604 = 0.0396
And the square root of 0.0396 = 0.198997487421324 (let's round it up to 0.1989 to make things easier).
So now we have the ship's flight time of 1 year divided by 0.1989 which equal 5.027 (again, rounded up).
So the answer is: just over five years will pass here on Earth, while the astronaut only observes 1 year passing by on the ship.
If we keep getting faster and closer to the speed of light, the larger than number will get, even if the trip time is still 1 year. If we increase the
ship's velocity to 99% of the speed of light, the time dilation is 10 years. Increase the speed to 99.9% and the time dilation is now over 31 years.
And it will keep increase, because the trip time of 1 year on the ship, keeps getting divided by a smaller and smaller number getting closer to 0.
And to get to zero, means the ship must have the exact same velocity as light, which means 1 year of ship time becomes divided by zero, or an infinite
amount of time...meaning: it's impossible for the astronaut to get there.
The equations for the energy to accelerate a rest mass to the speed of light are similar to the above equation, with the import part being the divisor
of "v" squared divided by "c" squared subtracted from 1 and the square root. The faster the ship goes, the more energy it requires, and what
happens is you end up dividing by 0 again, showing that it takes a infinite amount of energy to do this, which is impossible with what we have, and
how we understand physics.
Albert E's time dilation
has been confirmed through experimentally
several times over.
So basically, the math is saying we can't accelerate a rest mass of a person to the speed of light, as it will take an infinite amount of energy,
time and change their dimensions. Not unless we figure out how to make that person have no mass or not actually try to expend the energy as we know it
to accelerate something, but instead take short cut (worm holes, warp drive, hyper drive, etc, etc).
So again, dividing by zero is simply expressing a impossibility in a mathematical expression.
It's not a catch phrase in a forum to try and nullify someone's argument that you are loosing.