At 06:45 PM 3/29/2006, Don Moss wrote...
>> The Planck length is the scale at which classical ideas about gravity
>> and space-time cease to be valid, and quantum effects dominate. This is
>> the ?quantum of length?, the smallest measurement of length with any
>> meaning.
>>
>> The Planck time is the time it would take a photon travelling at the
>> speed of light to across a distance equal to the Planck length. 
>
>I'm a little "uncertain" how to interpret this.  Does that mean that time
>and distance (length) are granular rather than continuous?  So there are
>only discrete moments, and time doesn't flow smoothly; it jumps from one
>instant to the next, and the instants are separated by the Planck time?

If time and distance were constrained to integral Planck units, how could there 
be any speed other than light speed or integral divisors thereof? It would 
require velocity to be discontiguous - going at light speed while moving one 
Planck distance in one Planck time, then pausing (for an integral number of 
Planck times - so the next slowest speed would be 1/2 c), then moving one 
Planck distance in one Planck time. How would an electron travelling at 70% c 
"know" to pause 1 here, 0 there, whatever it takes to satisfy the measurement? 
The physicist would likely answer that quantum uncertainty fills the gaps and 
that it cannot be understood in human terms, only mathematical - but that's 
simply petitio principii. 

I think the key is that physics at that level _is_ just math, not reality. That 
experimental results work only reflects that we've created a fairly 
self-consistent model, not discovered true nature. Newtonian physics works in 
most real-world cases. Relativistic physics covers almost everything else. 
Quantum theory (or QED, or string theory or the Higgs boson, or whatever else) 
are simply closer approximations of full self-consistency (which shouldn't be 
confused with reality). 

At some point, I think we run into Godel - we can't self-refer and be complete 
in our understanding, so if what we're trying to figure out is the physics of 
our own nature, it simply can't be done. 

I know it doesn't satisfy human nature to say "we don't and can't know what 
time _really_ is" but I think that is the case. 

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