NOETHER — When compression breaks information, measurement catches the break.

NOETHER is an Education project for a specific AI-era problem: a confident answer can arrive before a learner has formed a prediction, compared meanings, or asked what evidence would separate them. It turns that missing thinking step into a playable method. It also features black holes, penrose diagrams, ER=EPR conjecture, alcubierre warp drives, M-theory, holography, string theory.

Public product: https://noether-intuition-lab.aanisakrasniqi.chatgpt.site

ChatGPT Apps SDK/MCP endpoint: https://noether-intuition-lab.aanisakrasniqi.chatgpt.site/api/noether

Release: Sites version 35 · runtime commit a0f0e17

Judges: start with the concise final release index and 60-second testing path.

Course promise: See what a linear answer can lose, learn how measurement catches the break, investigate a real broken answer sheet, then apply the detector to any question in ChatGPT.

The learning loop

1. The Keyhole — watch a structured thought become a one-dimensional stream. THE BOUNDARY then contrasts lossy encoding with physics cases where exact recovery depends on enough capacity and a shared structure. Its prepared Beautiful Wrong Answer case audits the project's own origin hypothesis—representation geometry survives, ReLU folds stay bounded, “thought geodesics” remain analogy, and physics-forced hallucination is not established.
2. The Detector — predict before changing a sealed bottle, firing Newton's cannonball, steering an Artemis-inspired mission, or bending light around a Schwarzschild black hole.
3. The Case — investigate a real June audit in which the “correct answer” was the broken part, then race a structure-preserving learner against a same-data baseline under a sealed protocol.
4. The Question Lab — use GPT-5.6 Sol inside ChatGPT to map an exact question into materially different meanings. The learner chooses; NOETHER must end at a compatible world or a bounded Learning Probe, never a silent Orbit substitute or terminal “unsupported.”

Every completed activity offers VARY IT / CARRY IT / FREE PLAY. Every teaching claim ends with a receipt stating what the learner can now inspect and what the activity cannot establish.

Why the AI is load-bearing—but not authoritative

The standalone course is account-free and deterministic. The ChatGPT face applies the method to an unrehearsed question through six typed, read-only tools:

map_question
  → learner chooses a branch
  → configure_world → PLAY THIS → run_world → measured outcome
  OR design_learning_probe

optional depth: bridge_concepts · challenge_claim

configure_world only validates a bounded setup; run_world is the deliberately separate action that executes the checked-in deterministic model after the learner accepts. It returns measurements, scope limits, and a link to the closest hands-on public world. “PLAY THIS” is therefore an action, not a decorative label or a promise that ChatGPT cannot fulfill.

map_question attaches an Apps SDK branch-card widget with a complete text fallback. GPT proposes meanings, bridges, and probe structure. It cannot choose the learner's prediction, set numerical tolerances, invent a reference, run generated code, or issue a truth verdict. NOETHER accepts no OpenAI API key, ChatGPT cookie, or account credential; ChatGPT hosts the model.

The evidence spine

The project's narrow novelty is the complete chain, not any one visual: keyhole compression → a claim audit that separates analogy from mechanism → prediction in a physics world → a named, audited real benchmark lie → live host-model tools under a constitution.

• June Case File: a legacy orbital scenario placed periapsis about 3,197 km inside Earth. At one nominal orbit the exported hybrid was about 1.02 km from analytic Kepler, while the coarse legacy reference was about 1,463.75 km away. The dramatic model-failure headline is quarantined.
• Sealed PINN-H-3 run: a preregistered synthetic altered-central-force comparison ran structured and baseline lanes at seeds 17/29/43. The frozen classifier returned STRUCTURED_ADVANTAGE; no escaped baseline rollout was dropped. It is not a general HNN victory or a new law of gravity.
• Release gates: 209/209 application tests, 18/18 MCP tests, both typechecks, lint, production build, a ten-question zero-dead-end matrix, public motion probes, and public legibility checks.

The exact claim limits, hashes, and two still-open OWNER records are in EVIDENCE.md.

Spectacle with labels

• Black-Hole Flight opens inside one live GPU-computed Schwarzschild ray field. Lensed stars, moving disk filaments, the capture silhouette, optional coordinate overlay, and bloom share the same bounded geodesic surface; adaptive quality keeps it moving. It is not DNGR, Kerr, GRMHD, or full radiative transfer, and the exact Light Bender remains the numerical capture-edge authority.
• The One-Way Sky restores the animated Hawking temperature/power/lifetime lesson, the bounded pair-particle heuristic, and the unknown-endpoint label.
• The Paradox lets the learner compare thermal-only output with a unitary Page-curve target and change entropy bookkeeping with an island. It teaches the live question; it does not solve it.
• The Bridge follows those correlations into ER=EPR. The learner discovers that entanglement is neither an outside telescope nor a remote black-hole detonator, then opens a traversable window only inside a specially coupled two-sided AdS teaching model.
• The Light Bender is the exact deterministic instrument: it integrates bounded Schwarzschild null-geodesic path shapes and lets the learner bracket the analytic capture edge.
• The Alcubierre counterfactual visualizes metric surgery, negative-energy requirements, and the distinction between changing geometry and escaping an already-defined global event horizon.
• THE BOUNDARY first attacks the project's own geometry/hallucination hypothesis, then lets the learner become the encoder and measure what five bare labels lose before adding the shared codebook that makes exact reconstruction possible.

Routes

Route	Purpose
/	Keyhole opening and deterministic course/world launcher; Mirror is an advanced surface
/gravity	Bottle pressure world and Newton's Cannonball
/gravity/light	The One-Way Sky, Light Bender, and the real Schwarzschild lens
/orbit	June Case File and neural Orbit Law Duel
/mission	Guided and free-play Artemis-inspired mission world
/cosmos	THE BOUNDARY interactive lesson
/museum, /lab, /conservation	Preserved advanced/historical surfaces
/api/noether	Official Apps SDK/MCP companion

How Codex was used

CORE-CODEX-01 is the primary implementation task and contains the majority of the core build; the task ran GPT-5.6 as its implementing model, and GPT-5.6 also powers the in-product Question Lab through the Apps SDK. Codex converted the OWNER's learning problem, scientific intuition, prior experiments, evidence boundaries, and repeated unbriefed product verdicts into:

• typed learner state machines and prediction-before-reveal gates;
• deterministic physics engines and independent numerical cross-checks;
• the Apps SDK/MCP server, strict validators, widget, and complete fallback;
• responsive Canvas/SVG learning worlds and visibility-safe animation runtime;
• the sealed neural-dynamics pipeline, provenance manifests, and evidence quarantine;
• public Sites releases, regression suites, release gates, and this claim registry.

Fable and Grok contributed adversarial planning and review. Under an explicit late owner grant, Fable also implemented a bounded final visual/copy pass covering Hawking motion, Alcubierre flow, and the black-hole shader transplant. CORE-CODEX-01 reviewed and integrated that pass, added the prepared Boundary claim audit, and owns the final validated release. This does not change the majority-core Codex attribution. The append-only rationale is in DECISIONS.md; executable status is in TASKS.md.

Repository guide

The judge-facing repository keeps the executable product and the records needed to audit it:

• README.md, SUBMISSION.md, and OWNER-RUNBOOK.md explain setup, judging, and the final close;
• EVIDENCE.md, PROVENANCE.md, and RELEASE.md bind claims to artifacts and release state;
• DECISIONS.md, TASKS.md, and the curated reviews/ records preserve the build rationale.

Raw private chats, credentials, local assistant state, temporary recordings, and unrelated design drafts are deliberately excluded. More files are not more evidence when they expose private context or contradict the final release.

Run locally

Requirements: Node.js 22.13 or newer.

cd app
npm.cmd install
npm.cmd run dev

To run the isolated MCP companion:

cd mcp
npm.cmd install --ignore-scripts
npm.cmd test
npm.cmd start

Verify

cd app
npm.cmd test
npm.cmd run lint
npm.cmd run typecheck

cd ..\mcp
npm.cmd test
npm.cmd run typecheck

cd ..
node app/scripts/verify-pinn-h3-sealed-run.mjs

Prior work and claim boundary

NOETHER began during OpenAI Build Week and meaningfully extends two earlier owner-built experiments: an Earth–Moon browser simulator and an orbital PINN study. During the week, those artifacts were re-engineered into typed learning worlds with new pedagogy, a preregistered Hamiltonian comparison, corrected references, shared provenance, the Question Lab, and a connected course. Exact prior/new classification is in PROVENANCE.md.

NOETHER does not claim learning gains, literal visualization of model internals, a derivation of Hawking radiation, arbitrary-physics simulation, NASA endorsement, a discovered gravity law, or general Hamiltonian-network superiority. It shows who proposed what, what was measured, what failed, and over which named domain.

The remaining owner-only release sequence—post-W4 hosted exemplar, GATE O, /feedback, video, and Devpost close—is in OWNER-RUNBOOK.md.