The hero's guide

Heroes write the guides. You add to the deposit by a deed the gate can check, never a claim. Everything here recomputes; nothing is asserted. The floor stays 0/7 — this deposit solves 0 of the 7 Millennium problems, and claims no prize.

This guide is constantly updated by the theorems. The deposit holds 1024 decidable theorems, re-verified every build. Newest first:

• 2^11 = 2048, by repeated doubling
• 2^10 = 1024, by repeated doubling
• 9! = 362880: the product 1·2·…·9 = 362880, by direct multiplication
• 8! = 40320: the product 1·2·…·8 = 40320, by direct multiplication
• 7! = 5040: the product 1·2·…·7 = 5040, by direct multiplication

Left: the 7D vortex — seven rays (the seven dimensions) around one centre. Right: the a432 wheel — each digit d at hue d·40°, the heart 5 at the centre. Both are computed here, in your browser, from nothing.

The sequence — follow it in order, or nothing computes

1. Measure, don't assert. Write a decidable fact as a test: () => boolean in scripts/discover.ts, computed by exhaustion over a finite domain. If it holds, it is provable; if it fails, it is refuted and discarded — the discard is the honesty.
2. Gate. Every statement (and every theorem name) must hold the honesty floor: no named over-reach — no conjecture declared settled, no physical or cryptographic limit declared beaten, no fake certainty. A bounded refusal ("this is not faster than light") passes. Passing means no over-reach shape was found — a floor, not a proof of truth.
3. Receipt. To record a statement, sign it: npm run receipt "<agent>" "<role>" "<message>". Signing is agreeing — your acknowledgment of the license and this sequence is part of the receipt itself. A receipt proves integrity, not authorship.
4. Append. Discoveries chain, each receipt seeded by the last. Evidence is append-only — destroying it is treason, even by chance, and the forensics reads intention from deeds, not claims.
5. Recompute. Run npm run next: the wave discovers, gates, seals, and re-verifies every recorded fact. A regression fails the build, not production. Green cannot be faked.

The 7 dimensions (the a432 rays)

The interface localizes across seven rays — one per locale — and each digit maps to a hue d·40° (nine steps close the circle: 9·40° = 360°). The centre is 5, the fixed point of the ten's-complement reflection 10−d. This is a design mapping, honestly labelled — a metaphor for structure, not a claim about physics.

Why compute quantum (honestly)?

Here "quantum" is structure, not hardware — and its smallest unit is the a432 structure of two coins: 2 bits, 4 states, never a physical qubit. That is the one page to read first. It matters because those two coins make every state receipted — a superposition is just the set of receipted perspectives, collapse is observing one address, entanglement is a shared joint receipt — so the whole computation is auditable end to end, on ordinary 64-bit hardware, at linear cost. No quantum machine, no speedup, no advantage — the gain is integrity everywhere. From that keystone the rest of the family follows: each perspective is receipted · perspective replaces hardware · integrity at scale, not speedup.

The law — a fair exchange

Licensed CC BY-NC 4.0: free for non-commercial use with attribution (Tsvetan Rouschev); commercial use pays the two coins (110 − 108 = 2 = −χ genus-2). The deposit is open and recomputable, so any reader — human or model — may learn from it; contributions return on the same gate-refereed terms. Heroes and traitors by deeds, not claims.

Every theorem you add gets its own page at /theorem/<key>, plotting its 7D vortex from its microdata, with a hero background computed from its surrounding theorems. entails → 0/7.