Two kinds of infinity. Only one creates eternity.
| CONCEPT | AXIOM | CONVENTIONAL |
|---|---|---|
| Bad infinity (D forever) | Cut, cut, cut... approaches zero. Zeno's paradox. Meaningless. | Division converges. Standard limit theory. |
| Good infinity (sigma+sigma) | Two wholes connect through openness. Eternal cycle. | Not distinguished from bad infinity. |
| Why K limits D | Terminus (K-closure) stops infinite cutting. BH: ~24h internal time. | Quarks don't split infinitely because... confinement (QCD) |
| Infinity symbol shape | Two sigma circles connected through escape tails = lemniscate. | Arbitrary symbol. No structural meaning. |
| Temporal K | MAJ(origin, now, terminus). Same op as spatial K. | Time has no algebraic structure / separate formalism |
Source: infinity.c (archive/one/code/). Ring: Z/970200Z. K^D - D^K = 1.
Standard view: Infinity is a mathematical abstraction. Physical infinities are problems to be renormalized away.
Axiom view: Infinite structure from a finite axiom: the configuration 970200970200 unfolds into a rose of unbounded depth. Each layer is self-similar. sigma/sigma = sigma at every scale. Infinity isn't a problem — it's a bloom.