The Singularity Has a Distribution: Exact Timing Laws and Detection Limits for a Stochastic Intelligence Explosion X63FGXZP4F

URI	`m2://res/X63FGXZP4F`
Kind	preprint
Creators	Xiaoyu Li, Zheng Gao, Chiwun Yang, Zhizhou Sha
Date	2026-10-13
Subjects	arxiv cs.AI, arxiv cs.CY, arxiv math.PR
Scope	border

Expressions

Date	2026-10-13
Ids	arXiv 2610.18445

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Fluid limit of hitting times	statement	proposition 2.4	arxiv
Residual-time self-similarity	statement	theorem 4.1	arxiv
Lomax ideas give a Gamma explosion time	statement	corollary 3.9	arxiv
The threshold is $r=1$	statement	corollary 3.2	arxiv
8XBX3QYHDV	statement	corollary 4.2	arxiv
Removing the singularity does not make oversight keep pace	example	example 6.4	arxiv
Explosion criterion	statement	theorem 3.1	arxiv
9HM33GDNXH	statement	corollary 3.5	arxiv
E514B89BZZ	statement	lemma 5.2	arxiv
Delayed feedback	statement	theorem 6.1	arxiv
Exact Pareto tail under parameter uncertainty	statement	proposition 4.6	arxiv
KSBYR5DC0G	statement	theorem	arxiv
Progressive diversion	statement	proposition 6.2	arxiv
Random idea sizes	statement	theorem 3.7	arxiv
Exact law, lattice case	statement	theorem 3.4	arxiv
Equal ideas are the most predictable	statement	corollary 3.8	arxiv
Explosion-centred mean intensity	statement	proposition 4.5	arxiv
Remaining duration at the decision	statement	corollary 5.3	arxiv
Good process	definition	definition 2.1	arxiv
Cube-root law for the fixed-sample experiment	statement	theorem 5.1	arxiv
Fixed-allocation asymptotic race regimes	statement	theorem 6.3	arxiv