Now, there exist in the English language many pairs of adjectives where one or the other must always be applicable to any given noun, and the other must not. For example, if you cannot call something visible, you must be able to call it invisible. Exactly one of the two has to apply. There exists nothing in between. Something is either tangible or intangible. If something is not corruptible, it is incorruptible. If something cannot be called finite, it must be infinite. With that established, let's move on to math. Since you're in high school, I'm quite sure you know that if you subtract a number from a smaller number, the result is a negative number. For example, 5 minus 8 equals negative 3. Simple. An important concept that this helps one understand, however, is how aspects of math can be imaginary. In the real, physical world, there exists no such thing as negative numbers. If you have 6 apples, nobody can take any more than 6 from you. They can't take 8 apples and somehow leave you with negative 2 apples, there's no such thing as a negative apple. There exists no physical object or measurement that can be less than 0. This applies to speed as well. Nothing can never be moving at a speed of negative 40 mph. The slowest anything can possibly move is 0, not moving at all. Going slower than that is a physical impossibility. We can define 0. In fact, this is true of every measurable number. If an amount is measurable, if a speed is finite, we can determine and define it. Thus, if a speed is undefined, it cannot be finite. On to the speed equation itself. As you said, speed equals distance over time. I made one case already for how this proves that moving while time is stopped must be moving at infinite speed (and thus with infinite force), but since that didn't convince you, I'll make a couple more. First, think about it like this. 60/2 can be spoken or written in a couple ways. 60 over 2, 60 divided by 2, 2 into 60. 2 goes into 60 30 times, so 60/2 is 30. That's really all division is, how many times the denominator can go into the numerator. So suppose the denominator is 0. No matter what, it can keep going into the numerator forever. It can go into the numerator an infinite number of times. So, if 0 of any unit of time passes (that is to say, time does not pass), 0 is the denominator of the speed equation. If any movement occurs during this 0 units of time, 0 can go into the numerator infinitely, resulting in infinite speed. (An easy counterpoint you might try to make is that this could work even when 0 is the numerator, meaning 0 movement happened over 0 units of time, but I would reason that this lack of movement would still be infinite speed, which is obviously absurd. This is why I pointed out how math can sometimes be imaginary, and we have to let the logic of the real world override math when they disagree. There is no reason or constraint in the physical world to disprove what I said except in the unique case of 0/0, where we can simply understand that no movement happening over no time is the constant state of everything in the universe, which is slower than time. No movement means no speed, even if you decide to measure it over absolutely no time at all. This single instance does NOT disprove the entire idea any more than the fact that subtraction stops working at 0 disproves that subtraction exists at all. Just because you can't take 2 away from 0 in the real world doesn't mean you can't still take 2 away from 7.) Another case I'll make is, rather than my own defense, an attack on the reasoning behind WHY we can't divide by 0. Here's an example (taken directly from my trig book) of the method used to show that division by 0 is impossible; “Suppose that 3/0 = 8827. Then if you multiplied both sides by 0 and cancelled you would get 0(3/0) = 0(8827), which is 3 = 0. That's pretty hard to live with. This argument shows that 3/0 couldn't equal ANY number.” Other than 0, the numbers used don't matter, the result is the same. It seems dividing by 0 is impossible and we can't do it at all. Just like how in the physical world you can never take 10 from 2, you can never divide by 0. But that's the problem. Because 2 minus 10 is an impossible equation, it doesn't actually manifest anywhere in the universe. It's okay that it has no solution, because the equation doesn't exist. So long as a situation never existed in which the physical world demanded division by 0, then regarding it as impossible would be fine. But if one could stop time, that forces the speed equation to set the denominator (time) at 0. One cannot brush off as impossible that which physical existence allows. (One could use what I've said here to show that time stopping is thus completely impossible, which is actually true. However, our argument isn't about whether it's possible, since we both know it isn't. This is about how it would work if it was, so the fact that it isn't does nothing to either of our cases.) Since it is impossible for impossible situations to occur (duh), the entire argument against division by 0 is wrong, and cannot be used as support for any idea in a situation where time can be stopped. Finally, my third case is also my most straightforward. As you said, dividing by 0 is undefined. Distance over time, when time equals zero, causes the resulting speed to be undefined. As I established earlier, we can measure and define all that is finite. It might take an extraordinarily long time when you're dealing with numbers beyond even a googolplex, but if it is finite, it can be defined. if we can't measure something, if we can't define a speed, that speed cannot be finite. And if we can't call it finite, then we must be able to call it infinite. The last thing I have to say is finally not about the speed equation, and is just a simple example regarding the mass part of force. You expressed doubt that something like a plushie could become infinitely destructive just because of the speed aspect of the force equation, due to its pitiful mass. But speed can and does make all the difference regarding force. Suppose you toss a bullet into the air and punched it at about 10 mph. The bullet goes flying, your fist is fine, maybe a tiny bit sore. Suppose you then put that bullet in a gun and, without changing the mass of either object, shoot your hand (with the bullet moving about 1700 mph). That difference in speed alone makes it so that the bullet would completely destroy your hand. The faster something moves, the more forceful, no matter what mass. So once you reach infinite speed, mass doesn't matter. Anything moving that fast will obliterate anything in its path.
(Instrumental)
Lights out
But that's only the start
Living a life on Earth?
This can't be too hard
I go through a few years, day after day
Them each ending the exact same boring way
I penetrate reality, pushing to go on
But I always reach a roadblock and scream out, "AW COME ON!"
The endless road, always covered by a sandstorm
Was always a pain, even before I was born
Through hours and hours I have torn through
What's basically a dark shadow of...well, you.
Fighting my hatred, keeping courage and pride
But it never even mattered, forever torn up inside
And no matter how much training I have to go through
God send me to hell if I'm mangled like you!
So all those times in the pitch black past
Just made me closer to approaching my last?
But all I can say is it's been a blast
Despite how many times I've needed a cast
And no matter what god throws at you
Just remember, it's most likely not even true
Lights out
But that's only the start
Living a life on Earth?
This can't be too hard
I go through a few years, day after day
Them each ending the exact same boring way
I penetrate reality, pushing to go on
But I always reach a roadblock and scream out, "AW COME ON!"
The endless road, always covered by a sandstorm
Was always a pain, even before I was born
Through hours and hours I have torn through
What's basically a dark shadow of...well, you.
Fighting my hatred, keeping courage and pride
But it never even mattered, forever torn up inside
And no matter how much training I have to go through
God send me to hell if I'm mangled like you!
So all those times in the pitch black past
Just made me closer to approaching my last?
But all I can say is it's been a blast
Despite how many times I've needed a cast
And no matter what god throws at you
Just remember, it's most likely not even true
It's creepypasta time.... o__O
