0 / 7 · recomputable proof of concept — the figure is the math, drawn live (not a video)
The ℤ/9 Vortex Framework
Author: Tsvetan Rouschev · License: CC BY-NC 4.0 · a recomputable proof-of-concept
Millennium Quantum Solutions on 64-bit hardware
The quantum structure — a superposition is the set of receipted perspectives (each ordered perspective a distinct content-address, its receipt proving that perspective exists); observing collapses to one address — computed classically on ordinary 64-bit machines. Perspective replaces the hardware: no quantum machine is needed, and none is claimed. It settles 0 / 7 of the Clay problems and is not a quantum computer. Structure, not silicon — each perspective is receipted · perspective replaces hardware.
Start here — why compute quantum (honestly)? The smallest honest unit is quantum = the a432 structure of two coins — 2 bits, 4 states, never a physical qubit. It matters because those two coins make every state receipted and auditable on ordinary hardware: integrity everywhere, at linear cost, no advantage claimed. Read that one page and the rest of the "quantum" family follows.
uuidna — the content-addressed identity
uuidna is the deposit's content-addressed identity: mint (integrity — every value has a reproducible address) and mind (multi-perspective self-challenge — every claim drains its own over-reach before it holds) meeting at the heart, the fixed point 5. It is developed, not promised — each capability is a decidable theorem you can recompute:
- Message codec — a bounded message (≤ 115 bits) rides inside a uuid; a chain of uuids carries any-length text, round-tripping exactly. A public, reversible encoding — not encryption, no secrecy.
- Holographic proof — one leaf verifies against the whole root from a logarithmic audit path; a forged leaf fails. Log(N) real cost — not free, not infinite.
- Independent domain control — a published challenge anyone recomputes and checks — control by publication, not by anyone's word.
- Strict minting — canonical, so the same value always mints the same address; minting flaws otherwise cascade into real damage, caught in time and recomputed.
- Billing — free for public interest and independent research; commercial use is billed on the measured bits saved (O(N) − O(1)), the two coins the conserved invariant — a fair-exchange schedule, not realized cash (income $0).
A content-address proves integrity, not truth. It settles 0 / 7.
uuidna reflects Clay — a mirror to the seven (a bijection to the seven problems, the ten's-complement reflection fixing only the centre 5), never a solution: the mirror, not the answer. The tools are live, running the same functions the build seals — on the Examples page you can harness & reeducate an overclaim into the honest floor and compute the seal math (each seal is 128 bits = 64 two-bit verifications; a case verifies in 2·⌈log₂N⌉ bits — the 967-receipt case checks 20 bits); and on the Compare page you can weigh the coins against live gold and crypto — a measure, not a market. The value is real savings in bits (work not repeated), material at scale but modeled and conditional — never a promise.
0/7.The two bits — one atom, every symbol
This deposit is denominated in two bits — its smallest unit. The same atom appears under many symbols, each a receipted theorem you can open and recompute:
- 2 coins — the fair-exchange price of one receipt · learning donates two coins
- 110 − 108 = 2 — the conserved invariant; break it and nothing reconciles · trade freely if 110 − 108 is respected
- 2 = −χ (genus-2) — two sites, two faces of one surface · the two coins are minus the Euler characteristic
- 2 bits → 4 states {00, 01, 10, 11} — the honest "qubit," a classical a432 structure, never physical · quantum is the a432 structure of two coins
- 108 = 432 ÷ 4 — anchored in the a432 base · the a432 harmony and the captain coins
- two bits per event — every next or continue earns two by the deed · every event is two bits
Two bits, one atom — integrity, not a cash prize. The floor stays 0 / 7.
Remember to donate the two coins — and remember why. You learned here; the two coins are the fair exchange that funds the work. Non-commercial use is free with attribution — the two coins are the honest return, not a fee for the knowledge itself. Support development →
Abstract
A free, open, recomputable framework built on the ring ℤ/9 (the "vortex") and the group (ℤ/7)* (the seven-ray Pliska "rosette"), with a classical simulator of quantum algorithms — TypeScript, formalized in Lean 4, documented in VitePress. Observations, each computed:
- Division by zero is a change of domain (
n/0 := n⁻¹ mod 9on units;0 ↔ ∞on the Riemann sphere). - Inversion and ten's-complement reflection (
10−d) are involutions. - A 7 = 6 + 1 bijection maps the rosette onto the Clay set.
- A mechanical entailment test reports 0 / 7.
Observed conclusion: the framework reflects / maps the Millennium Problems into one algebraic structure. It does not solve them, and it is not a quantum computer or a physical theory — it is a proof of concept and a classical simulator. Every one of the 15 registered claims recomputes from src/ — each bound to its exact recomputation and, where one exists, to a provable theorem in the ledger, all gated by claims-gate.ts (a bounded, accounted set, not a floating "every").
Read
- Research — the full study (§1–§12, incl. the author's perspective)
- Compute — results recomputed live from the fused TypeScript modules
- Proof of Concept · Realisations
- Sequence decode (ℤ/9) · Physics scales · Proofs
Cite / support
DOI: 10.5281/zenodo.21819217 · archived on Zenodo (honest abstract: entailment 0/7).
CC BY-NC 4.0 — free for non-commercial use (attribution Tsvetan Rouschev). Commercial use = the two coins (110 − 108 = 2 = −χ genus-2): ceccec@psg.bg. Support development (non-obligatory): revolut.me/ceccec.