RE: Brace yourselves for gravitational waves
February 13, 2016 at 12:13 pm
(This post was last modified: February 13, 2016 at 12:16 pm by Brian37.)
(February 13, 2016 at 11:59 am)Excited Penguin Wrote:(February 13, 2016 at 11:08 am)Brian37 Wrote: What is wrong with viewing all this like a light switch? Or up and down or in and out? Off "seemingly nothing prior to the singularity, then a buildup then the big bang to the "On" we see now, which will run out of fuel like a car does.
YES YOU CAN ............ You can have an infinite number of decimal places between numbers without actually reaching them.
.1 ------- .01-----------.001 .0001 .00001 .000001 .0000001 .0000000000000000000000000000000000000000000001
.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
Now keep moving that to the right as far back as you wish, try to fill those in, you get to 1. but between 1 and 2 you can do the same thing, between 2 and 3 you can do the same thing, between 3 and 4 you can do the same thing.
You are thinking about the difference between classical big numbers in a classroom. QM deals with the MASSIVE AMOUNTS OF POINTS BETWEEN POINT A AND POINT B. those decimal places can go on foreveer
You DO have an infinite amount of points on a finite line.
https://en.wikipedia.org/wiki/Infinity
Or
https://www.quora.com/How-is-it-possible-to-have-infinite-points-between-two-finite-limits
Yes, I know, but I'm not talking about that kind of infinity. No matter how many decimals you may have between 1 and 2, the actual distance between the two points is still the same and it's finite.
Nope, you are still, it seems to me getting tripped up on trying to treat abstracts, which the language of mathematics are, as physical things, they are not. They are the numbers we use describe our observations.
You really can literally draw a physical line on a piece of paper and still have an infinite number of decimal places between those finite points.
Maybe we are on the same page here. I think you or I might be getting pedantic?
The line is physical and finite, but the math used to describe it has to be open to those infinite points for us mathematically describe our observations. If we didn't have that concept of infinite decimal places we would never get to our current quantum mechanics.
If you have a physical line on a piece of paper that is 10 inches long, the line certainly is 10 inches long, but the math between those two points can go on forever.
Math is a language, an abstract, math is not physical, it is the language we use to describe our observations.
1 apple.
.5 or half the apple
.05 of the apple
.000005 the apple.
So on and so on and so on. The apple is finite, yes, but the math we can use to describe the material in it goes all the way down to the atom and quarks and Higgs Bosos particles in that 1 apple. Now take that complex math and apply it to our 1 known universe. You still need those infinite abstract numbers to calculate our observation of material.