Is the “infinity” between numbers actually infinite?

Question

Can numbers get so small (or so large) that there is kind of a “planck length” effect where you just can’t get any smaller? Or is it really possible to have 1.000000…(infinite)1

EDIT: I know planck length is not a mathmatical function, I just used it as an anology for “smallest thing technically mesurable,” hence the quotation marks and “kind of.”

In: 87

Answer 1

The planck length doesn’t really have anything to do with math itself. Planck length, time, etc. have to do with the fact that light is measurably quantized, and there is a max speed limit to the universe through space (speed of light). Because “speed” is defined in terms of distance and time, a max speed turns into the idea that there’s a minimum distance and minimum time in which anything can “happen.” But if the speed of light was different, or perhaps in a universe that worked a different way, there would be different values. Math itself does not imply any limit, however.