research · sadalsuud

Sadalsuud — quantum substrate.

A quantum-theorem substrate built on Z/2-graded state spaces. The standard quantum suite is reproduced inside the framework — including Bell, Gleason, no-cloning, monogamy, and contextuality.

Theorems closed

  • Bell-series — Bell, CHSH, chained Bell, Mermin, Leggett-Garg, singlet correlations
  • Foundational — no-cloning, no-signalling, Heisenberg uncertainty, Holevo bound, monogamy
  • Measurement — Gleason, POVM extension, Kochen-Specker contextuality, purification
  • Information — von Neumann entropy, information causality
  • Genesis-extension theorems across four families

Structure

Sadalsuud lifts the Genesis G2 substrate onto a graded pair of unit-sphere states. The lift preserves the original operator algebra while opening room for quantum-style observables.

Implementation is a Rust workspace spanning the type system, multiscale memory, epoch reasoning, and substrate dynamics.

Open frontiers

The standard quantum suite is closed. Further research extends to deeper proofs and cross-level confirmation; these run alongside the lab's applied IP work, not as a gate to it.