FRAMEWORK FALSIFICATION KIT
A reader-operated instrument. Three Python suites execute live in the browser on real numpy and sympy, compiled to WebAssembly via Pyodide and served entirely from this machine — no network. Each suite defends the OPPOSITE of the O/0 framework as hard as it can, and only the defensible structural claims are allowed to survive.
SUITE 1 / THE O/0 BOUNDARY. Tests whether 0 IS infinity (identity) or MIRRORS it under the inversion z to 1/z (duality). The strong identity claim is FALSIFIED on six functions. The weak duality claim is SUPPORTED two independent ways — root multiplicity vs. degree arithmetic — across 200 random rational functions, and every indeterminate form is shown to have a twin under inversion.
SUITE 2 / SEPARABILITY (BELL / CHSH). Defends "the world is separable local parts" three ways: exhaustive enumeration of all 16 deterministic strategies, 100000 random stochastic local models, and an adversarial optimizer — all slam into the local bound of exactly 2. The entangled whole predicts 2*sqrt(2) ~ 2.828. H3 (fundamental separability) FALSIFIED; H4 (non-separable whole) SUPPORTED, matching loophole-free experiment (Nobel 2022).
SUITE 3 / THE BOUNDARY TRILOGY. Self-knowledge limit: no oracle survives its own diagonal, and a 4-bit mind inside a 12-bit world leaves at least 8 bits forever unknowable. Everything from nothing: the naturals, arithmetic, and order are bootstrapped from the literal empty set and the Peano axioms machine-checked (11/11). Irreducible wholes: integration measured exactly in bits over all 63 bipartitions — modular systems decompose (Phi = 0), integrated systems do not.
WHAT IT ESTABLISHES. The only claims genuinely at risk of failing — 0 IS infinity, and separation is fundamental — are FALSIFIED. What survives is real, borrowed mathematics: Riemann-sphere duality, Tsirelson bound, the diagonal argument, the pigeonhole floor, the von Neumann construction, dynamical integration. The framework s rigorous skeleton coincides with mainstream results.
WHAT IT DOES NOT ESTABLISH. That this ground is consciousness, or that it is One. No computation here reaches it, and the instrument does not pretend otherwise. It establishes the boundary. What stands at the boundary remains, honestly, an open question.