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Originally Posted by bas_I_am
You and froopy do not understand Plank's length.
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I can assure you I do
I'm not suggesting the Planck length is a mere uncuttable length in the sense that Democritus and others pondered 2,000 years ago. Clearly twentieth century physics taught us that the Planck limit is more profound and fundamental than that.
(Nor am I suggesting that the concept of infinity doesn't exist.)
What I am saying is that I think you are on dodgy ground if you point to this sub-quantum level, this seething quantum foam, and say "Hey look... infinity." It certainly aint infinity in the sense of the ever-growing length of the coastline paradox that you cited earlier.
We can say that eventually, when we reach the Planck length, it becomes unmeasurable, yes. Uncertain, yes. Maybe even turbulent - if we want to use that kind of imagery - yes. But infinite? Not in the sense of something that just 'continues' getting smaller and smaller beyond our ability to measure. I'm sure you at least agree that that's fundamentally not what the Planck limit represents. When you get down to the Planck length (and for that matter, Planck time), the very concept of 'going smaller' ceases to have meaning. And what's left can't just arbitrarily be called 'infinity'.
So when you say "the measurement of the perimiter goes on forever" that's just not true. It's not true of the measurement - and we can't even say it's true of the perimeter.
The analogy I heard years ago compared it to the idea of taking the temperature of a liquid. You can stick a thermometer in a jar of water and take the temperature - no problem. But get to the level of individual H20 molecules and the very concept of temperature ceases to have meaning. In other words, the limit isn't a practical one, it's a conceptual one. And that's why the notion of a perimeter that we can keep measuring for infinity - as in the coastline paradox - is a fundamentally flawed one.
As for God - I think he's an 82 dimensional sphere. Who loves us.
