Toeda Taiko

The Crossover Theorem: Existence, Uniqueness, and the Impossibility of Axis-Blind Governance Gates — Benefit–Burden Monotonicity, Single-Crossing as a Falsifiable Signature, and a Corrected Folk Claim About Dose Ordering

The July 2026 MOBIUS measurement campaign reported an operational law for inference-time governance: the same governance prompt that damages a small language model improves a large one, with the sign of the effect flipping at roughly 4B parameters on the content axis — and flippi...

Why Reflection Should Be Shallow: Contractive Gains, Finite Optimal Depth, and the Rumination Regime — A Cost–Benefit Theory of Iterated Self-Revision, with a Capacity-Gated Crossover

How many times should a system re-read and revise its own answer? Empirical work in the MOBIUS measurement campaign found a consistent answer across thirteen open-weight model capacities: once or twice — never zero above a capacity threshold, never many, and *less than zero* belo...

The Exact Perimeter of Semantic Energy: What I(Y;Z) Does and Does Not License — A Scoped Property Inventory for E_sem — Dissipation, Conservation, No-Cloning, the Failure of Extensivity, and the Estimation Tax

The MOBIUS corpus defines semantic energy as E_sem := I(Y;Z), the Shannon mutual information between a semantic source Y and an interpreting internal representation Z. The reverse-derived cosmology (MRDC) identified this as the *only* quantity surviving unchanged from the prior c...

Termination by Novelty: A Machine-Checked Theory of Anti-Regress Guards for Reflective Governance Processes — Why Step-Local Change Guards Cannot Stop Regress, and What Can

Reflective processes — governance loops, self-review cycles, self-evolving software pipelines — face a canonical failure mode: infinite regress, the accumulation of meta-deliberation without state update. The MOBIUS anti-regress architecture (the "M guard") answers this operation...