Luphinid Silnaek

April 28th, 2008, 7:24 AM

I think this topic can go on these forums.

For some time I have found it quite reasonable, given the limitations on this universe, to accept that infinity is impossible within our existence. I have been content in using arguments like as the universe has been expanding at a non-infinite rate for a non-infinite amount of time it is a finite size, and so on. However, continua (plural of continuum, of course) have been tormenting me. The continuum of the spectrum of light (or, more generally, the spectrum of energy carried by a particle or wave) can be proven easily to be discontinuous: there are a finite number of particles in this universe, meaning that there are a finite number of amounts of energy. This means that even if they add or subtract with each other, they can only combine to form a finite number of amounts of combinations. (For example, if there are four particles with even numbers of units of energy, you can never have an odd or fractional number of units of energy, which means that the possible energy states are limited and finite.)

My arguments agaonst the existence of continua, however, cannot combat the basic space-time continuum. There is no limit to how far you can slice a portion of space or time, or what sort of irrational number of units of distance you can travel. Does this mean infinity does exist in the universe? Does it mean only that infinity results in irrational ways of thinking and therefore should be disregarded, like god in a scientific debate? Anyone want to contribute their thoughts?

For some time I have found it quite reasonable, given the limitations on this universe, to accept that infinity is impossible within our existence. I have been content in using arguments like as the universe has been expanding at a non-infinite rate for a non-infinite amount of time it is a finite size, and so on. However, continua (plural of continuum, of course) have been tormenting me. The continuum of the spectrum of light (or, more generally, the spectrum of energy carried by a particle or wave) can be proven easily to be discontinuous: there are a finite number of particles in this universe, meaning that there are a finite number of amounts of energy. This means that even if they add or subtract with each other, they can only combine to form a finite number of amounts of combinations. (For example, if there are four particles with even numbers of units of energy, you can never have an odd or fractional number of units of energy, which means that the possible energy states are limited and finite.)

My arguments agaonst the existence of continua, however, cannot combat the basic space-time continuum. There is no limit to how far you can slice a portion of space or time, or what sort of irrational number of units of distance you can travel. Does this mean infinity does exist in the universe? Does it mean only that infinity results in irrational ways of thinking and therefore should be disregarded, like god in a scientific debate? Anyone want to contribute their thoughts?