Ok so everyone here using the pizza analysis fundamentally dont understand the nuances of the entire argument.

Pizza is subject to the laws of the physical world. Integers by nature are not. Therefore think of a line in cyberspace you could indefinitely divide the line infinitely forever as theres no plausible limit to the amount of times you could slices " halves".

This is the problem with ∞ there is no end. Or beginning just forever. You could count forever and ever and never reach the end of numbers as they stand.

There will only ever be 2.1 quadrillion sats on baselayer bitcoin forever amen. This base protocol will never allow for more units to be issued.

So lightnings ability to use millisats is something only native to it and these units are not "enforceable" by base layer bitcoin. Its only a trusted model used hy nodes to keep track of the dust. If your channel forced closed with millisats "owed" to you they would just be poofed gone theres nothing enforcing the ownership of these units.

So you could theoretically take another smaller unit of sats derived from those millisats and continue to do that forever in theory but again this goes back to the idea that integers are not bound to the laws of physics.