The Bounded Observer · science from within

Papers

Two published, one in revision, one capstone ready for review, and two that still need writing. The research library holds the complete dated manuscript inventory; the atlas records each current chart and next test.

The radiation safety chapter works through the dose-order question as a model and a real protective-action case, with sources and claim boundaries beside the experience.

The capstone

Bounded Composition and Its Horizons: when a bounded quantity earns an additive chart, a horizon and a geometry. Version 2.1, 30 September 2026, 57 pages. Its claim register has 38 entries: 12 proven, 11 derived, 15 open. The Universal Hyperbolic Law is its central theorem.

Ready for specialist review in four areas: functional equations and ordered structures; stochastic boundaries; cone and Hilbert geometry; and the drug-combination analysis. Then Journal of Mathematical Psychology, the home of the Luce–Marley–Narens lineage the result sits in.

Published

PaperWhere
Hormesis as a geometric necessity of bounded adaptive systems: quantitative predictions from first principlesSSRN 6858819
Two failure modes of glutathione homeostasis: a calibrated dynamical model recovers G6PD severe-deficiency contraindications and forecasts a phase II NSCLC trial outcomeSSRN 6754498

In review

Finite rescue windows and supply-limited redox commitment in NRF2-active cancer. Major revision. Its second revision reports a negative result about its own earlier proposal: the experiment as designed could not have distinguished the model from a simple power law even if the model were exactly correct. The design was rebuilt around measurements made below the threshold, which commit no cells, linked to the passage experiment by an identity in which the rate constant cancels exactly.

The parent

The Observer and the World: predictive closure, the projective shadow, and a first-principles grammar of empirical science — SSRN 7347861. The stance the whole programme is read through. To be revised to point down to the capstone once the capstone's readers report.

Not yet written

The classification. Two measurables — the boundary exponent and the cone type — decide the geometry of a bounded quantity. This is the frontier, and it is the only open path to a prediction that can win outright. Its loss condition goes down before any data.

IDA Live, the software. A paper for the Journal of Open Source Software is not yet written. The repository is public and its automatic tests run in CI.