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To: mr.mark who wrote (7818)7/24/2001 1:51:59 AM
From: X Y Zebra  Read Replies (1) | Respond to of 13020
 
Satchel Paige...

Well, thanks Mark, I learned something today... [I hope not to forget it]



To: mr.mark who wrote (7818)7/27/2001 12:25:34 AM
From: HG  Read Replies (1) | Respond to of 13020
 
The only way you can describe
ANYTHING
is to show it and say
"this is it!"
Because there IS NO concise description for ANYTHING!
.
I'm fascinated by incompleteness
and I want to understand it.
better.
.
.
The idea in quantum mechanics is that randomness
is fundamental,
It's a basic part of the universe. ...

But in the 1920s with quantum mechanics
it began to look like God plays dice in the atom,
because the basic equation of quantum mechanics
is the Schrödinger equation,
and the Schrödinger equation is an equation
that talks about the
probability
that an electron will do something.
The basic quantity is a probability
and it's a wave equation
saying how a probability wave interferes with itself.
So it's a completely different kind of equation,
because in Newtonian physics
you can calculate the precise trajectory
of a particle and know exactly how it's going to behave.
But in quantum mechanics
the fundamental equation is an equation dealing
with
probabilities!

That's it, that's all there is!

You can't know exactly where an electron is
and what its velocity vector is---
exactly what direction and how fast it's going.
It doesn't have a specific state that's known
with infinite precision the way it is in classical physics.
If you know very accurately where an electron is,
then its velocity---its momentum---
turns out to be wildly uncertain.
And if you know exactly in which direction and
at what speed it's going,
then its position becomes
infinitely uncertain.
That's the infamous
Heisenberg uncertainty principle
,
there's a trade-off,
that seems to be the way the physical universe works...

You see, in physics there's a notion called
entropy,

which is how disordered a system is.

And entropy is connected with some fundamental
philosophical questions---
it's connected with the question of the
arrow of time,

which is another famous controversy

- dunno.



To: mr.mark who wrote (7818)7/27/2001 3:16:21 AM
From: X Y Zebra  Read Replies (1) | Respond to of 13020
 
LOGIC, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding.

- Ambrose Bierce, The Devil's Dictionary