How much can you remove from a description before it can no longer tell you what happens next? A four-position clock gives an exact answer: of the fifteen ways to blur its states, three still run and twelve break—and every first step away from full detail already breaks it. The line between a good simplification and a bad one is not a matter of taste. It is a count. Companion article to C14 — Limes Genitus.
Five structural results of the corpus in non-technical language: no system exists in isolation (“ONE does not exist”), consciousness as Q1 produced by the Q36 saturation of instinct, the I as the position from which a system reads its own consumption, current AIs as systems without a stable internal L3, and the minimum specification of an AI under limit. Neither paper nor manifesto: a deposit halfway between natural language and SDL notation.
A two-part essay on the saturation of the planetary information system. Phase 1 proves with a PDE simulation that the system is already past the coherence threshold — dominant state Q35, 85% inactive, residual activity concentrated on very few points. Phase 2 applies the framework to the cultural domain — publishing, music, cinema, luxury, fashion, creator economy, streaming, AI — and shows what remains: not chaos, not silence, but monasteries.
A fable in seven illusions and one return. Eight ancient disciplines at a party thrown by Physics. One newcomer arrives in plain clothes, called SDL. What the elder sciences cannot name, the newcomer carries out of the building before it collapses. A spiral is handed over at the end. Written to introduce Sub-Limit Dynamics to readers who don't speak equations. Q36 = Q1.
300 e-commerce projects in 20 years. 926 categories analysed. 2.5 million offers tracked. 6 markets. 2 countries. The result: in a saturated market, up to three-quarters of offers never move. They are not mispositioned. They are structurally invisible. This is the companion article to E1 — Margin as Limit.
Ohm, Fourier, Fick, Darcy are transport laws. Langmuir, Michaelis-Menten, Fermi-Dirac are saturation laws. Both families hold unchanged in quantum systems. They share a single formula: R(X) = aX/(1+bX). Linear when the limit is far, saturating when the limit compresses. Two readings of the same boundary response.
A supercomputer problem solved on a laptop in two and a half hours for three dollars. The gain is 44.8×. Representation compression explains 5.5× (√n, derivable). The residual 8× is structural exposure of the constraint. SDL predicts both factors, quantifies the uncaptured margin, and shows where Type 3 consumption could push further.
Sub-1% scores are not evidence of stupidity. They are the quantitative signature of stateless agents in stateful environments. The framework predicted this before the benchmark existed.
Why measuring results is the gravest mistake a civilization can make. On the structural difference between two systems occupying the same terminal state.
How a framework rediscovered the structure of a 283-year-old problem, and why the problem was never where we thought it was. A rediscovery of the Hardy–Littlewood singular series from outside number theory.
A system that cannot die has no reason to work well. Applied sub-limit dynamics to governance: when a State has no halting condition, it is a system with violated Axiom 2.
On the separation of growth and saturation in multiplicative orders, with an application to Artin's conjecture.
Asimov created them as a narrative device to generate conflict. We turned them into governance. Category error.
On replacing repeated scans with maintained state—a technique from the 1960s never taught as a basic skill.