Another foot of snow, another day out of work early. Someone tell me why I didn't move here years ago? Since I have a short day, I can continue my talk about Loop Quantum Gravity.
Like I was saying, Time is not continues. In the same sense, space is not continuous. Let's take a close look at a block of wood. From the human eye, it may appear to be continuous as all matter does. In fact, hundreds of years ago, it was believed to be so. However, now we know better. Wood, and all matter for that fact is made up of very very tiny objects called atoms. The smallest piece of wood you can possibly have is one molecule of wood. This molecule has a certain area and volume. You cannot EVER have a piece of wood with a volume or area smaller than that of one molecule of wood. Ergo, wood is not continuous. If you have many molecules of wood, there are spaces in between those molecules, again, not continuous. Because of this, you cannot have infinite possible areas or volumes of wood. You cannot have a volume that would fall between the volume of one molecule and two molecules. This is of course already accepted and proven by science. The theory with Loop Quantum Gravity is that space is the exact same. The smallest possible volume of space you can have is one Plank volume, or 10-99cm3. In other words, 1099 (or a google) Plank volumes can fit inside one cubic centimeter. Compare this number with the 1085 cm3 of volume in the visible universe! If my math is correct (and it always is) that means that in the visible universe there are 10184 units of Plank volumes. You cannot possibly fathom the vastness of this number. You may think you can, but trust me, you can't even come close.
Anywho, space being not continuous works the same as the piece of wood I spoke about earlier. There are not infinite possible volumes of space because you have a limit of how small you can go. Next time, we learn about spin networks and what in the universe they are!
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