ZeroPoint NodeOne structure, read twice

The vortex sequence, its reflection through the void, and a kernel that computes both rather than asserting them.

Forward and reflected

throughVoid(n) = 1 − n mod 9 is an involution fixed only at 5. It maps the forward reading onto its mirror — a re-valuing, not a reversal. Both lines are computed from one constant.

Sequence dual

Entanglement, proven

Doubling closes on the flow ring and its gap is exactly the axis; no iteration count bridges them. The group the two generate has order 54 against 12 apart, and the excess is their failure to commute.

Read the proof

Angle, polarity, colour, sound

Each dash carries ±60°, polarity reverses at four gateways, and pitch is defined on the axis alone. Every column states whether it is derived or merely defined.

Spectrum

Four representations, one choice

A state can be carried as floats, as exact Clifford amplitudes, as Clifford+T in the ring of the eighth root of unity, or as a stabilizer tableau. The choice decides what is exact and what is affordable — the same circuits a state vector needs 14.7 seconds for at 20 qubits run on a tableau in under a millisecond.

What it costs

Twelve neighbours, and what that is not

Carry a polarity beside the six-bit cell and all 128 states have exactly twelve neighbours, connected and vertex-transitive. Not a vector equilibrium: a cuboctahedron's twelve vertices carry 24 edges among themselves and these carry none. The count matched, the geometry did not, and the module records the refusal rather than the name.

The structure

Method, not just answer

Classical trial division once passed the exhaustive Shor check with no wrong answer and no unexplained refusal. Seven of eight algorithms are now identified by their METHOD — by the residue a rotation leaves, or by the pattern in which an oracle is read.

How that is checked

Computed, never typed

Census, receipts and projections are folded from the live tree and content-addressed. Drift fails npm run check — a stale number cannot sit quietly in a document.

Kernel census

Every generated page on this site carries a content-addressed receipt folded over its own body, so a change to what a page says moves its stamp.

Install it

bash

npm install zeropoint-node

javascript

import { stabilizerZeroState, stabilizerH, stabilizerCnot, stabilizerMeasure } from 'zeropoint-node/quantum'

const s = stabilizerZeroState(200)          // 200 qubits, 160800 bits
stabilizerH(s, 0)
stabilizerCnot(s, 0, 1)
stabilizerMeasure(s, 0, 1)                  // undetermined — your coin decides
stabilizerMeasure(s, 1)                     // determined, and equal to it

An MCP server ships as npx zeropoint-mcp, exposing the same three things over the wire: zeropoint.quantumRun, zeropoint.quantumExact and zeropoint.quantumCapacity.

No quantum advantage is claimed and none is present. Of seven oracle-call measurements, zero show one — simulating a single quantum query costs 2^n classical evaluations. What is offered is exactness and an honest account of the cost, including what was not measured.

Citing this work, and the licence

This repository is licensed under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) — see LICENSE. In short: share it with attribution, for non-commercial purposes, without distributing modified versions. Commercial use, or anything beyond the licence, needs written permission — license@zeropoint.bg.

Two things worth stating plainly, because they are the common mistakes:

Citing is not permission. Attribution satisfies credit, not the licence.
No derivatives. You may not publish or host a modified version without a separate licence.

Machine-readable citation lives in CITATION.cff; parse it rather than guessing. In prose:

ZeroPoint Node (ceccec). ZeroPoint Node. https://node.zeropoint.bg — source: https://github.com/ceccec/zeropoint-node

Verify it yourself