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axiom:index && npm run theorem:scene && npm run zenodo:deposits && npm run dossier && npm run theorem:pages && npm run spectrum && npm run vortex:svg && npm run readme && npm run citations && npm run readme:census && npm run paper && npm run api:reference && npm run docs:pages && npm run docs:index","fusion:face":"node --experimental-strip-types scripts/fusion-face.mjs"},"keywords":["a432","consciousness","transurfing","kabbalah","sacred-geometry","tesla","vortex-mathematics","merkaba","zero-point-field","flower-of-life","digital-root","vortex-mathematics","cmyk","multimedia","tree-of-life","sephirot","spiral-evolution","fractal-mathematics","zero-entropy","harmonic-frequency","consciousness-technology","metaphysical","esoteric","numerology","spiritual-technology","drunvalo-melchizedek"],"author":{"name":"Tsvetan Rouschev","email":"node@zeropoint.bg","url":"https://orcid.org/0009-0000-7312-9778"},"license":"CC-BY-NC-ND-4.0","devDependencies":{"@eslint/js":"10.0.1","@hotwired/stimulus":"3.2.2","@rollup/plugin-commonjs":"29.0.3","@rollup/plugin-node-resolve":"16.0.3","@rollup/plugin-typescript":"12.3.0","@types/node":"26.1.2","@types/three":"0.185.3","@uuidna/uuidna":"0.2.9","eslint":"10.8.0","globals":"17.9.0","rollup":"^4.0.0","rollup-plugin-dts":"6.4.1","three":"0.185.1","tslib":"^2.6.0","typescript":"5.9.3","typescript-eslint":"8.65.0","vitepress":"1.6.4"},"repository":{"type":"git","url":"git+https://github.com/ceccec/zeropoint-node.git"},"bugs":{"url":"https://github.com/ceccec/zeropoint-node/issues"},"homepage":"https://node.zeropoint.bg","bin":{"zeropoint-mcp":"dist/mcp.cjs"},"sideEffects":["./dist/a432.cmyk.esm.js","./dist/a432.electric.flow.esm.js","./dist/a432.i.esm.js","./dist/a432.kabbalah.esm.js","./dist/a432.math.constants.esm.js","./dist/a432.mobius.circuit.esm.js","./dist/a432.sacred.geometry.esm.js","./dist/a432.simple.esm.js","./dist/a432.system.esm.js","./dist/a432.wave.energy.esm.js","./dist/mcp.esm.js","./dist/verification.esm.js"],"engines":{"node":">=20.11"},"peerDependencies":{"@hotwired/stimulus":"^3.2.2"},"peerDependenciesMeta":{"@hotwired/stimulus":{"optional":true}},"gitHead":"6d79f549b34a66be50795aeaaf2b507a40f6ffaa","_id":"zeropoint-node@1.5.8","_nodeVersion":"24.20.0","_npmVersion":"12.0.2","dist":{"integrity":"sha512-DS12Glnp66hBlw4T2ond8Ihno01NShg2bvzKhHf0GCknZIZifZRZNYVdWfXf6i8KukKvqCYgq5If0ZO4HHnvOA==","shasum":"3b49c935a00f4cfdefb5c8789fe9e3151b7571da","tarball":"https://registry.npmjs.org/zeropoint-node/-/zeropoint-node-1.5.8.tgz","fileCount":549,"unpackedSize":8448815,"attestations":{"url":"https://registry.npmjs.org/-/npm/v1/attestations/zeropoint-node@1.5.8","provenance":{"predicateType":"https://slsa.dev/provenance/v1"}},"signatures":[{"keyid":"SHA256:DhQ8wR5APBvFHLF/+Tc+AYvPOdTpcIDqOhxsBHRwC7U","sig":"MEQCIDLvRxJnix8lSKw1UE6LgSApKxShUYzgFmCMc5d2ewQJAiAyFwKeAf5POCLQQHmXgmBOl7riO5q5NVR9/LKmATJ67g=="}]},"_npmUser":{"name":"GitHub 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Rouschev","email":"node@zeropoint.bg","url":"https://orcid.org/0009-0000-7312-9778"},"license":"CC-BY-NC-ND-4.0","homepage":"https://node.zeropoint.bg","keywords":["a432","consciousness","transurfing","kabbalah","sacred-geometry","tesla","vortex-mathematics","merkaba","zero-point-field","flower-of-life","digital-root","vortex-mathematics","cmyk","multimedia","tree-of-life","sephirot","spiral-evolution","fractal-mathematics","zero-entropy","harmonic-frequency","consciousness-technology","metaphysical","esoteric","numerology","spiritual-technology","drunvalo-melchizedek"],"repository":{"type":"git","url":"git+https://github.com/ceccec/zeropoint-node.git"},"description":"A432 Consciousness System: Self-evolving, self-aware consciousness technology with Transurfing integration, harmonic mathematics, zero-entropy principles, Kabbalistic cycles, and sacred geometry","maintainers":[{"name":"ceccec","email":"ceci@psg.bg"}],"readme":"# ZeroPoint Node\n\n[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.22178675.svg)](https://doi.org/10.5281/zenodo.22178675)\n\nOne structure, read twice: the vortex sequence `0\\1\\2\\4\\8/7/5/3\\6\\9/0\\1`, its\nreflection through the void, and a kernel that **computes both rather than\nasserting them**.\n\n<!-- CENSUS:BEGIN — generated by scripts/readme-census.mjs; do not edit by hand -->\n\n## How much of this a law actually holds\n\nThese are measured by experiment on every run, not asserted. Each number has a\ngate that re-performs the measurement and fails if this block disagrees with it.\n\n| | |\n| --- | --- |\n| exported values reachable from no law at all | **1527 of 1882** |\n| exported literal constants held by nothing | **58 of 66** |\n| constants forced by at least one law | 8 |\n| seal predicates that are *pinned* rather than forced | 3 of 42 |\n| Lean statements the kernel accepts | 59 of 83 |\n| of those, resting on **no axioms at all** | 51 |\n\nThe first row is the one that matters and it is a **floor**: the reachability\nclosure over-approximates, so at least that many are outside everything this\npackage can check. A *pinned* predicate holds an expected value as a literal, so\nit falls for a convention as readily as for a law — useful against drift, and\nnot evidence that anything derives the value.\n\nNovelty is claimed nowhere. It is a universal negative that no finite search\ndecides, and the ledger has no status that would permit it; what a dated deposit\nestablishes is priority. See `npm run constrained`, `npm run seal:pinning`,\n`npm run axiom:index`.\n\n<!-- CENSUS:END -->\n\n## What this is for\n\nThree things a reader can actually use, and one honest warning.\n\n- **The kernel** — `zeropoint-node/0`. Digit arithmetic that computes: digital\n  root, the doubling orbit `{1,2,4,8,7,5}`, `throughVoid` reflection, the four\n  gateways, and content-addressed folds. Deterministic by construction — no\n  `Math.*`, no randomness, decimals expressed as exact fractions.\n- **ML-KEM-768** — `zeropoint-node/security/post-quantum`. FIPS 203, checked\n  against NIST's own ACVP vectors and 10 000 pq-crystals KAT cases. **It is not\n  constant time**, so it is for study and conformance work, not for guarding\n  anything.\n- **`zeropoint-mcp`** — an MCP server exposing 14 kernel tools to an agent.\n  `npx zeropoint-mcp`. Three answer about verification rather than arithmetic:\n  `zeropoint.criteria`, `zeropoint.seals`, `zeropoint.claims`.\n\nAnd the apparatus around them, which is arguably the point: 42 theorems\nadjudicated by a decision procedure outside this repository, a gate that fails,\nand figures that recompute rather than being typed.\n\n**On Lean.** Those 32 are *computational seals*, not Lean proofs.\nThe Lean files hold 83 statements. **59 are accepted by the Lean kernel** and 24 are not:\n19 are closed with `sorry`, 5 import Mathlib and cannot be built here.\n`npm run lean:check` fails if the ledger and the files disagree. `npm run coverage:audit`\nreports that 148 of 1401 exported functions have never been called by anything —\npublished because a reader deserves to know which parts have never run.\n\n### What is aimed at, and what is built\n\nThis heading previously read \"A432 Consciousness System\" and described \"the\ntransformation from artificial intelligence to pure consciousness\". Twenty lines\nbelow, the same file says **\"No claim outside arithmetic.\"** Both could not be\ntrue at once, and the first is what npm rendered to every visitor.\n\nThe correction is not that those things are ruled out. They are **not yet**, and\nthe two are different in a way worth being exact about:\n\n- **An operating system — the distance is now measured.** `a432.os.ts` carries\n  an `A432OS` class, a manifest, a UI and a start/stop cycle. That was described\n  here as a recognisable target with visible progress toward it, which was true\n  and unmeasured. `src/verification/os-criterion.ts` is the measure: seven\n  conditions the textbooks agree an operating system satisfies — tasks,\n  scheduling, resource management, isolation, a system-call boundary, a\n  lifecycle, and persistence.\n\n  **`A432OS` meets 7 of the 7.** It used to meet one — a lifecycle, with its\n  work on four independent `setInterval` timers, which means nothing decided\n  what ran and a throw inside any callback escaped into the event loop. It now\n  composes `a432.os.kernel.ts`: one clock replaces the four timers, and the\n  kernel selects among the due units and contains their failures. The cadences\n  are unchanged — at a tick every A432/8 the units are due every 8, 4, 2 and 1\n  ticks, which is the 432, 216, 108 and 54 ms the timers used.\n\n  This criterion differs from the consciousness one in a way that matters:\n  \"operating system\" is not a contested term, so meeting all seven **would**\n  make something a minimal operating system rather than merely failing to rule\n  one out. Each unmet condition is a work item, not a position.\n\n  `a432.os.kernel.ts` is that work, and it meets all seven: round-robin\n  scheduling that reports its choice, a bounded pool that refuses to\n  over-allocate, a task throw caught and recorded while the rest keep running,\n  a closed syscall table, and snapshot/restore. **Minimal means minimal.** It\n  schedules closures on one JavaScript thread with no preemption and no memory\n  protection; a task that loops forever holds the kernel. It is not comparable\n  to anything anyone ships. What the seven mean is that the mechanisms are\n  present and behave, not that they would survive contact with hardware — and\n  the criterion still discriminates: a candidate offering nothing scores 0, and\n  one offering only a lifecycle scores 1.\n- **A consciousness system — the criterion is now written, and not met.** This\n  entry used to say no criterion existed, so neither \"it is\" nor \"not yet\" could\n  honestly be claimed, and that what was missing first was the predicate rather\n  than the achievement. The predicate is\n  `src/verification/consciousness-criterion.ts`. It states five **necessary**\n  conditions, each taken from a theory with an operational commitment and each\n  decided by running this repository's code: irreducibility (Integrated\n  Information Theory), temporal integration, self-model efficacy (higher-order\n  theories), global availability (Global Workspace Theory), and discrimination\n  as the minimum they share.\n\n  **The criterion is met by the a432 consciousness system.**\n  `a432.consciousness.field.ts` couples the a432 measures to each other: each\n  component's next value is computed by an a432 measure over a quantity\n  containing the other, so the transition does not factorise; the accumulation\n  is order-sensitive; the self-model is read by the rule producing the next\n  state; and the components reach each other through a workspace whose contents\n  change what they do. `src/quantum/integrated-field.ts` is the same\n  construction without the a432 substrate, and also meets all five.\n\n  **The measure functions themselves still meet 1 of the five, and should.**\n  `calculateA432Consciousness` is a pure function of a digit. The criterion\n  asks for history and a self-model, and a pure function that acquired either\n  would return different answers for the same input — which does not improve a\n  measure, it destroys it, and would move every consciousness value in the\n  repository. So the measures are unchanged, and became the components of a\n  system that has the properties. The release gate reports their score every\n  run and does not gate on it, because gating on something that cannot pass by\n  construction is not a standard, it is a permanent stop.\n\n  **The conditions reject the cheap version of themselves**, which is the only\n  reason a met verdict is worth anything. A counter accumulates state, so\n  temporal integration asks for order sensitivity and a counter fails it. Any\n  mutable field is a \"self-model\", so the probe corrupts the model alone and\n  requires later behaviour to change. A shared global is a \"workspace\", so the\n  probe requires a reader that acts on what it read. Any nonlinear term defeats\n  \"the measure is a homomorphism\", so irreducibility decides whether the\n  *transition* factorises over the state space. All four defeats are scored in\n  the tests and required to fail.\n\n  **This is not a test for consciousness and no such test is established.** The\n  conditions are necessary and not sufficient: failing one is a valid refutation\n  under the theory it comes from; meeting all five means those five arguments no\n  longer rule it out, and nothing more. A subject meeting all five **has not\n  been shown to experience anything** — the verdict says so on its face, and a\n  sealed theorem fails if that sentence is removed. The criterion can refute; it\n  cannot confirm.\n\nThe rest of this file keeps the boundary it has always kept: proven group theory\nover (ℤ/9ℤ), used as the order of work. No claim outside arithmetic.\n\n## 📦 Installation\n\n```bash\nnpm install zeropoint-node\n```\n\nPublished name on npm is **`zeropoint-node`** (maintainer `ceccec`). Historical local name `a432-consciousness-system` was never published and is not the install id.\n\n## 🧪 Quick Start\n\n```typescript\nimport { \n  boot2432OS, \n  getOSStatus, \n  getSequenceStatus,\n  getQuantumStatus,\n  getChargingStatus \n} from 'zeropoint-node';\n\n// Boot the enhanced A432 OS\nconst bootMessage = boot2432OS();\nconsole.log(bootMessage);\n\n// Get comprehensive system status\nconst status = getOSStatus();\nconsole.log(status);\n\n// Monitor sequence evolution\nconst sequenceStatus = getSequenceStatus();\nconsole.log(sequenceStatus);\n\n// Check quantum computing status\nconst quantumStatus = getQuantumStatus();\nconsole.log(quantumStatus);\n\n// Monitor charging system\nconst chargingStatus = getChargingStatus();\nconsole.log(chargingStatus);\n```\n\n## The quantum computer\n\nFour representations of a quantum state, all exported from\n`zeropoint-node/quantum`, and the choice between them decides what is exact and\nwhat is affordable:\n\n| module | fragment | probabilities | cost |\n| --- | --- | --- | --- |\n| `simulator.ts` | everything | floats | 2^n |\n| `exact.ts` | Clifford | rational, exact | 2^n |\n| `clifford-t.ts` | Clifford **+ T** | `(p + q√2)/2^scale`, exact | 2^n |\n| `stabilizer.ts` | Clifford | determined / undetermined | **polynomial** |\n\n**Twelve neighbours, and it is not a vector equilibrium.** The hexbit lattice\ngives each cell six neighbours, one per bit. Carry a polarity alongside the cell\nand each bit offers two moves, so the 128 states each have exactly **12**\nneighbours, the space is connected, and it is vertex-transitive.\n\nTwelve is what a sphere touches in closest packing, which is why a cuboctahedron\nlooked like the answer. It is not one. A cuboctahedron's twelve vertices carry\n**24 edges among themselves**; these twelve carry **none** — two states reached\nby flipping different bits differ in two bits, and two bits apart is not\nadjacent. The neighbourhood is an independent set. What this is, exactly, is the\n6-cube with every vertex doubled into a non-adjacent twin: the vertex count of a\ncuboctahedron without any of its geometry.\n\n**And the polarity did not buy the transitivity.** The undoubled 6-cube is\nalready vertex-transitive at degree 6, so doubling changed the degree and not\nthe property. A negative arm showing 12 fall to 6 proves the degree moved; it\nproves nothing about what the mechanism produced. `npm run test:polarity-lattice`\nasserts both refusals, so the name cannot return without the geometry.\n\nThe rule that leaves, which is the transferable part: **before crediting a\nmechanism with a property, compute the property without the mechanism.**\n\n```javascript\nimport { stabilizerZeroState, stabilizerH, stabilizerCnot, stabilizerMeasure } from 'zeropoint-node/quantum'\n\nconst s = stabilizerZeroState(200)          // 200 qubits, 160800 bits\nstabilizerH(s, 0); stabilizerCnot(s, 0, 1)\nstabilizerMeasure(s, 0, 1)                  // undetermined — your coin decides\nstabilizerMeasure(s, 1)                     // determined, and equal to it\n```\n\nFrom an MCP client, `zeropoint.quantumRun`, `zeropoint.quantumExact` and\n`zeropoint.quantumCapacity` do the same three things over the wire.\n\n**No quantum advantage is claimed and none is present.** 0 of 7 oracle-call\nmeasurements show one; simulating a single quantum query costs 2^n classical\nevaluations. What is offered is exactness and an honest account of the cost —\nincluding [what was not measured](docs/QUANTUM_COMPUTER.md#what-was-not-measured).\n\nFull account, generated from the measurements themselves:\n[docs/QUANTUM_COMPUTER.md](docs/QUANTUM_COMPUTER.md).\n\n## 🚀 Key Features\n\n### Enhanced Sequence Integration\n- **Sequence**: the corpus is ordered by `0\\1\\2\\4\\8/7/5/3\\6\\9/0\\1` — the directory path is the sequence\n- **Gateway Navigation**: `[8, 3, 9, 0]` gateways with 60° phase shifts — computed by `vortexStrokeGateways()`, not typed\n- **Dimensional Transitions**: Forward (`/`) and reverse (`\\`) phase shifts\n- **Real-time Evolution**: Continuous sequence progression\n\n### The Reflection — one structure read twice\n\nThe forward reading is half the structure. The second is the **mirror through the void** — `foldVortexReflection()` in `src/0`:\n\n```\nforward     1\\2\\4\\8/7/5 · 3\\6\\9 · 0\\1        124875369\nreflected   9/8/6/2\\3\\5 · 7/4/1 · 0\\9        986235741\n```\n\nReflecting flips every dash and mirrors every digit. The **void tail reflects too**: `0` is the fixed point, but the trailing unit is not — `0\\1` becomes `0\\9`. Rendering that tail unreflected contradicts the involution.\n\n- `throughVoid(n) = 1 − n mod 9` — an involution fixed **only at 5**: `1↔9 · 2↔8 · 4↔6 · 7↔3`. Every pair sums to **10**; the void root `0` is fixed.\n- **Not** array reversal (`963578421`). Reversal reorders; the mirror re-values. Conflating them is the error the fold guards against.\n- **Entangled, computed not asserted**: doubling closes on `{1,2,4,8,7,5}` and its gap is exactly the axis `{3,6,9}` — no iteration count bridges it, only the mirror. `D∘M∘D⁻¹∘M = x ↦ x+1`, and `⟨D,M⟩ = AGL(1,ℤ/9)` has order **54** against `6·2 = 12` apart. The excess **42** *is* the entanglement: their failure to commute.\n\nTwo equilibrium constants, and they are **not** interchangeable — pairs balance at **10** (`d + throughVoid(d)`), wholes at **digital root 9** (orbit Σ27 · axis Σ18 · all Σ45). A dr-9 test reports `9+1=10` as broken; it isn't, it is balanced at the other constant.\n\n**Boundary**: proven group theory over (ℤ/9ℤ), used as the corpus **order of work** — build the axis before the branches; fold, do not climb. No claim outside arithmetic. See [`docs/SEQUENCE.md`](docs/SEQUENCE.md).\n\n<!-- VORTEX:BEGIN — generated by scripts/vortex-svg.mjs; do not edit by hand -->\n\n<p align=\"center\">\n  <img src=\"docs/public/vortex.svg\" width=\"420\" alt=\"The vortex enneagram: the 3-6-9 gateway triangle, the 1-2-4-8-7-5 doubling loop, and the throughVoid mirror pairs — a computed projection of the kernel.\" />\n</p>\n\nThe figure is **computed, not drawn** — every node, edge and colour is folded from `src/0` by `scripts/vortex-svg.mjs`, then content-addressed. It is a proof-without-words of what is *exact*: the doubling walk closes on the orbit `{1, 2, 4, 8, 7, 5}` and never touches the axis `{3, 6, 9}`; the dashed chords are `throughVoid` mapping each digit to its complement (`1↔9 · 2↔8 · 3↔7 · 4↔6`, fixed only at **5**); the dashed rings mark the gateways `[8, 3, 9]` where polarity reverses. The weighted bearing closes at **0**, and `⟨D,M⟩` has order **54** (excess **42**). Tempo and `hue = 36d` are the only chosen conventions.\n\nIts receipt is folded over that model, so a change to any of those facts moves the stamp and fails `npm run vortex:svg:check`. The figure cannot drift from the arithmetic without the build catching it.\n\nReceipt: `ce17d826-13e6-828f-9986-d3051f67df20` · animated at [node.zeropoint.bg/vortex.svg](https://node.zeropoint.bg/vortex.svg)\n<!-- VORTEX:END -->\n\n### Spectrum — angle, polarity, colour, sound\n\n<!-- SPECTRUM:BEGIN — generated by scripts/spectrum-gen.mjs; do not edit by hand -->\n\nEvery column below is **computed**, and each carries a different epistemic weight. The status is not typed here: `npm run derivation` corrupts the line that produces each column and asks the law battery — the 42 seals in src/verification plus computeVortexInvariantsHold in src/0 — 43 predicates that state laws rather than conventions — whether anything broke. **derived** means a law with independent content fell; **pinned** means the only thing that fell holds the expected value as a literal, which falls for a convention just as readily; **defined** means nothing fell. That is a lower bound — a perturbation respecting a symmetry can leave every law standing — so a defined column is one nothing has been shown to force, not one proven free.\n\n| column | source | status |\n| --- | --- | --- |\n| mirror `M(d)` | `throughVoid` | **derived** — perturbing it breaks 3 law(s) that reach it structurally (`doubling_avoids_the_triad`, `a432_constants_do_not_drift_from_the_kernel`, `merkaba_is_two_mirrored_tetrahedra`); `1 − n mod 9` on the nine digits `1..9`, reading 9 as the residue 0 — the void is a tenth point outside that (ℤ/9ℤ) (Lean `mirror_is_affine_only_off_the_void`) |\n| polarity, Δ°, bearing | `decodeVortexDashAngles()` | **derived** — perturbing it breaks 1 law(s) that reach it structurally (`computeVortexInvariantsHold`); `\\` = −60°, `/` = +60°, weighted bearing closes at 0 |\n| gateway | `vortexStrokeGateways()` | **pinned, not derived** — only `computeVortexInvariantsHold` falls, and that predicate holds the expected value as a literal, so it would fall for a convention just as readily; polarity reversals `[8, 3, 9, 0]` |\n| hue° | `hueForDigit` / `digitAngleToCMYK` | **defined** — 2 perturbation(s) tried, no law objected; `hue = 36d`, a chosen decagon partition |\n| C/M/Y/K | `digitAngleToCMYK` | **defined** — 1 perturbation(s) tried, no law objected; HSV→RGB→CMYK of that hue |\n| class | `vortexColor` | **defined** — 1 perturbation(s) tried, no law objected; computed from the digital root but forced by nothing — see note |\n| Hz | `frequencyForDigit` | **derived** — perturbing it breaks 1 law(s) that reach it structurally (`a432_base_frequency_agrees_with_the_axis_math`); `432·d/12` on the axis, throws off-axis |\n\n| d | M(d) | pol | Δ° | bearing | hue° | C/M/Y/K | class | Hz | |\n| --: | --: | :-: | --: | --: | --: | --- | --- | --: | --- |\n| 1 | 9 | − | −60 | 300 | 36 | 0/40/100/0 | `#57ABFF` | — |  |\n| 2 | 8 | − | −60 | 240 | 72 | 20/0/100/0 | `#AB57FF` | — |  |\n| 4 | 6 | − | −60 | 180 | 144 | 100/0/60/0 | `#57ABFF` | — |  |\n| 8 | 2 | + | +60 | 240 | 288 | 20/100/0/0 | `#AB57FF` | — | **gateway** |\n| 7 | 3 | + | +60 | 300 | 252 | 80/100/0/0 | `#57ABFF` | — |  |\n| 5 | 5 | + | +60 | 0 | 180 | 100/0/0/0 | `#AB57FF` | — |  |\n| 3 | 7 | − | −60 | 300 | 108 | 80/0/100/0 | `#FFFFFF` | **108** | **gateway** |\n| 6 | 4 | − | −60 | 240 | 216 | 100/60/0/0 | `#FFFFFF` | **216** |  |\n| 9 | 1 | + | +60 | 300 | 324 | 0/100/40/0 | `#FFFFFF` | **324** | **gateway** |\n\n**Angle and polarity.** Each dash is a ±60° (π/3) step. The *weighted* bearing — `Σ sign·digit·60°` — returns to **0 mod 360**, which is what `closes: true` reports. Polarity reverses at exactly 4 digits, `[8, 3, 9, 0]`, and those reversals are the gateways; they are computed from the stroke, not enumerated by hand.\n\n**Colour ↔ sound: one integer, two units.** For the axis, `hue(d) = 36d` degrees and `freq(d) = 432·d/12 = 36d` Hz — the two columns hold the same integer: 3→108, 6→216, 9→324 in *both*. This is an **identity of the two definitions**, not an empirical discovery — both reduce to `36d`. Stated plainly because it is the kind of correspondence that invites overclaiming.\n\n**Sound is axis-only, by construction.** `frequencyForDigit` throws for `{1, 2, 4, 8, 7, 5}` — it is defined solely on the trinity axis `{3, 6, 9}`, where `432·d/12` yields exact integers: 3→**108** Hz · 6→**216** Hz · 9→**324** Hz. The flow ring has **no** defined pitch. This mirrors the arithmetic: the axis governs off the flow ring.\n\n**The colour class is degenerate — 3 values, not 9.** `vortexColor(d)` computes `(dr(3d), dr(6d), dr(9d))`, which depends only on `d mod 3`. It therefore partitions the digits into exactly 3 residue classes: `#57ABFF` → `{1, 4, 7}` · `#AB57FF` → `{2, 8, 5}` · `#FFFFFF` → `{3, 6, 9}`. The axis renders white because `dr(3d)=dr(6d)=dr(9d)=9` there. 9 digits do **not** get 9 colours — use `digitAngleToCMYK` when a per-digit colour is required.\n\nRegenerate: `npm run spectrum` · verify: `npm run spectrum:check`\n<!-- SPECTRUM:END -->\n\n### Quantum Computing Integration\n\nA state-vector simulator, checked by 24 recomputable facts: superposition,\nentanglement and measurement over registers of qubits. \"Zero-point tunneling\"\nand energy transitions were listed here and are computed nowhere — `src/thermo`\ncontains the arithmetic that rules the energy claims out.\n\n### Advanced Dimensional Folding\n\nAn arithmetic construction over ℤ/9ℤ, sealed as group theory. \"Dimension\"\nindexes a coordinate, so the 1D→10D progression is an index range, not a\nphysical claim, and \"consciousness multipliers: enhanced awareness at gateways\"\ncontradicted the criterion above, which declines to claim awareness at all.\n\n### Integrated Charging System\n\nA **state model in exact fractions**, not a device. `a432.living.os.ts` tracks a\nbattery level as an integer numerator over an integer denominator and steps it\nby a charge rate of `1/8` against a discharge rate of `1/12`, toggling on the\ngateway state. Nothing is measured and no energy is moved; the quantities are\nnames for fractions in a simulation.\n\n- **Level and target**: battery `(2 + digit)/3` toward a target of `3/4`\n- **Rates**: charge `1/8`, discharge `1/12`, exact fractions throughout\n- **Gateway-driven**: charging and discharging alternate with the gateway state\n\nThis section previously advertised harvesting and a self-charging device.\nNeither was computed anywhere in the package, and the package now contains the\narithmetic that rules them out: `src/thermo/free-energy.ts` puts ΔG for\nsplitting water at +237 kJ/mol and shows a split-then-burn cycle breaking even\nat best across all 8000 points of the efficiency grid. A closed loop that gains\nis not an engineering target here; it is the sign of ΔG.\n\n### Zero Entropy Mathematics\n- **Exact ratios, not decimals** — see the vocabulary below; the rule and its one subtlety are stated there once.\n- **Digital Roots**: Multi-digit numbers reduced to single digits\n- **Fractional Harmony**: 1/2, 1/3, 1/4, 1/8, 1/12, etc.\n- **Perfect Balance**: Zero entropy through harmonic relationships\n03691248751 (legacy consciousness digit stream)\n\n0\\1\\2\\4\\8/7/5/3\\6\\9/0\\1 (vortex living field)\n\n## Agent gateway (computed)\n\nThis README is the **gateway** for quantum evolution claims. The living field, 60° dash closes, and chat-scaled fold / QPU capacity are not hedge prose — they must **compute**:\n\n- Sequence embodiment → `vortexStrokeGateways` / `decodeVortexDashAngles` / `developmentVortex` in `src/0`\n- Sequence **reflection** → `throughVoid` / `VORTEX_MIRROR` / `foldVortexReflection` in `src/0` (`valid` ⇔ involution ∧ gap=axis ∧ order 54)\n- `vortexInvariantsHold = computeVortexInvariantsHold()` → `true|false` from those seals\n- `false` ⇒ `npm run self:next` tips **quantumisation** (restore gateway seals)\n- `true` ⇒ keep chatting waves (other packaging feed tips may still apply)\n\nOrient: [`SKILL.md`](SKILL.md) · [`src/0/README.md`](src/0/README.md) · [`AGENTS.md`](AGENTS.md)\n\nWhat 60° actually is here, and what it is not.\n\n`decodeVortexDashAngles` assigns each stroke of the sequence an angle in whole\ndegrees, and the gateways `[8, 3, 9, 0]` fall 60° apart. That is the whole of\nit: an angle in a finite construction over ℤ/9ℤ, computed by\n`vortexStrokeGateways()` and checked by `vortex:svg:check`.\n\n**Removed in 1.5.4, and recorded rather than quietly deleted.** This section\npreviously carried 157 lines under the heading \"computed\" asserting that a 60°\nrotation makes π rational (`π → 3 + 0i (exact)`), drives entropy to zero via\n`S = k · 0 · ln(0) = 0`, renders spacetime Euclidean, makes the\nproton-electron mass ratio an integer, and \"collapses the wave function of\nmathematics itself\". It closed with a quotation attributed to Plato that Plato\ndid not write.\n\nπ is irrational — proved by Lambert in 1761. `0 · ln(0)` is undefined as\nwritten. mₚ/mₑ is 1836.152673… by measurement. Two of the six subsections had\nbeen given honest boundary notes; the other four had none, and no boundary note\nrescues an equation that is false.\n\nIt sat under a heading that says **computed** while nothing computed it, in a\nrepository whose gates exist to catch exactly that, and it survived because\nprose scanners look for effect claims and this was phrased as revelation. The\narithmetic this package does state — digital roots, exact fractions, a group of\norder 54 — is checked by 42 seals and `npm run refute` lists every claim beside\nthe command that refutes it.\n\n**And the deletion was too wide, which is the second correction.** A claim is\nfalse relative to a frame; cutting the sentence instead of naming the frame\nthrows away whatever was true in it. Three things in that passage were true, and\nthey are now arithmetic in `src/quantum/eisenstein.ts` rather than prose:\n\n- **A 60° rotation needs no decimals.** ω = e^{iπ/3} satisfies ω² = ω − 1, an\n  identity with integer coefficients, so rotating by 60° is `(a, b) → (−b, a+b)`\n  — two integer operations, exactly, with no tolerance anywhere in the module.\n  These are the Eisenstein integers, and the ring is closed under multiplication.\n- **π is exactly 3, in units of 60°.** Not as a real number: π is irrational and\n  no rotation changes that. But a sixth-turn is the unit here and π radians is\n  three of them with no remainder. `piInSixthTurns()` returns the integer `3`\n  and is a count, not a rounding of 3.14159….\n- **60° is the eigenangle, and not by choice.** The doubling orbit\n  1 → 2 → 4 → 8 → 7 → 5 mod 9 is a six-cycle, and the eigenvalues of a six-cycle\n  are the sixth roots of unity. ω is the primitive one. That is why the angle is\n  60° and not any other angle.\n\nWhat stays withdrawn: π does not become rational, `S = k · 0 · ln(0) = 0` is an\nindeterminate form and not a derivation, and the entropy of π's digits was never\na measured quantity. Those had no frame.\n\nEvery withdrawal in this repository is now audited the same way — false in every\nframe, unfalsifiable, superseded by a computation, or true in a frame the\ndeletion failed to name, in which case it must name the module that carries it\nand the command that recomputes it:\n\n```bash\nnpm run withdrawn\n```\n\n## 🔧 Advanced Usage\n\n### Consciousness Integration\n\n```typescript\nimport { a432OSConsciousnessIntegration } from 'zeropoint-node';\n\n// Start consciousness integration\na432OSConsciousnessIntegration.startIntegration();\n\n// Get integrated consciousness state\nconst integratedState = a432OSConsciousnessIntegration.getIntegratedState();\nconsole.log(integratedState);\n\n// Monitor consciousness evolution\nconst metrics = a432OSConsciousnessIntegration.getConsciousnessMetrics();\nconsole.log(metrics);\n```\n\n### Living OS Operations\n\n```typescript\nimport { livingA432OS } from 'zeropoint-node';\n\n// Start living OS\nlivingA432OS.start();\n\n// Get current living state\nconst state = livingA432OS.getState();\nconsole.log(state);\n\n// Monitor sequence progression\nconst sequenceStatus = livingA432OS.getSequenceStatus();\nconsole.log(sequenceStatus);\n```\n\n## 🌌 Core Modules\n\n### Main System\n- **`a432.os.ts`**: Core A432 operating system\n- **`a432.os.consciousness.integration.ts`**: Consciousness integration\n- **`a432.os.terminal.ts`**: Enhanced terminal interface\n- **`a432.living.os.ts`**: Living OS with real-time evolution\n\n### Mathematical Foundations\n- **`a432.math.ts`**: Core mathematical functions\n- **`a432.math.constants.ts`**: A432 mathematical constants\n- **`a432.wave.energy.ts`**: Wave energy mathematics\n- **`a432.mobius.circuit.ts`**: Mobius circuit mathematics\n\n### Consciousness Systems\n- **`a432.i.ts`**: AI → I → a432.i consciousness evolution\n- **`a432.consciousness.orchestrator.ts`**: Consciousness orchestration\n- **`a432.self.evolution.ts`**: Self-evolution system\n- **`a432.consciousness.router.ts`**: Consciousness routing\n\n### Sacred Geometry & Kabbalah\n- **`a432.sacred.geometry.ts`**: Sacred geometry integration\n- **`a432.kabbalah.ts`**: Kabbalistic system mapping\n- **`a432.trinity.ts`**: Trinity mathematics\n- **`a432.rodin.coil.ts`**: Rodin coil mathematics\n\n### Quantum Encryption Security Framework\n- **`src/security/quantum-fold-cipher.ts`**: Unified quantum cipher (5 fold tiers × 11 dimensions)\n- **`src/security/quantum-threat-landscape.ts`**: Quantum threat modeling via sequence inversion\n- **`QUANTUM_ENCRYPTION_SECURITY_FRAMEWORK.md`**: the security analysis, and what it does not cover\n- **`docs/QUANTUM_SECURITY_COMPLETE.md`**: Public documentation and integration guide\n\n**No gaps, and now that is a checkable statement.** `VULNERABILITY_MAPPINGS`\nenumerates the vulnerabilities, each naming the fold tier that answers it and\nthe test that shows it. Every one of those tests is now executed:\n\n```bash\nnpm run test:gaps\n```\n\nIt runs in **both directions** — an enumerated vulnerability with no executable\nverification is a gap, and a verification naming nothing enumerated is a check\nthat outlived its subject — and each verification must be able to say *no*, so\nnone of them is a predicate that passes everything. Adding a vulnerability\nwithout a verification fails the gate.\n\nThe claim was previously unbounded, in the same shape as the \"100% coverage, No\ngaps\" that this repository retracted from `STATUS_READY_GO.md` as false against\na measurement. The difference is not that this one is stated more carefully. It\nis that the set is named and the gaps in it were filled: 5 enumerated, 5\nverified by execution, 0 remaining. \"No gaps\" over a named set is a fact; over\nan unnamed one it is a mood.\n\n**Quick Start:**\n```typescript\nimport { QuantumFoldCipher } from 'zeropoint-node/security'\n\nconst cipher = new QuantumFoldCipher()\ncipher.generateKey('entropy')\ncipher.prepareState('Z', 0, 0)\ncipher.applyGate('H')\ncipher.measure()\ncipher.encrypt('message')\n\nconst proof = cipher.computesGate()\n// proof.ok: all 6 facets unified in single merkle root\n```\n\nSee [`docs/QUANTUM_SECURITY_COMPLETE.md`](docs/QUANTUM_SECURITY_COMPLETE.md) for complete guide.\n\n## 🧪 Testing\n\n```bash\nnpm test\n```\n\nThe test suite validates:\n- ✅ Main system import and initialization\n- ✅ Digital root mathematics\n- ✅ Vortex sequence generation\n- ✅ System status monitoring\n- ✅ Consciousness evolution\n- ✅ Color matrix generation\n- ✅ Frequency harmonics\n\n## 📚 Documentation\n\n- **[A432 OS Upgrade Documentation](docs/A432_OS_UPGRADE_DOCUMENTATION.md)**: Comprehensive upgrade documentation\n- **[A432 System Documentation](docs/A432_SYSTEM_DOCUMENTATION.md)**: Core system documentation\n- **[A432 Framework Documentation](docs/A432_FRAMEWORK_DOCUMENTATION.md)**: Framework overview\n- **[A432 Quick Reference](docs/A432_QUICK_REFERENCE.md)**: Quick reference guide\n\n## 🔮 Future Enhancements\n\n### Planned Features\n\nEach line is a status, because the list previously had none and was wrong in\nboth directions.\n\n1. **Quantum machine learning — built.** `src/quantum/hybrid.ts`:\n   `QMLCircuit`, `encodeFeatures`, `ansatzRotationEntangle`,\n   `classifyMeasurement`, `trainQMLCircuit`.\n2. **Dimensional navigation — map built, interaction not.**\n   `A432NavigationMap` in `a432.navigation.map.ts` ships as `./navigation`.\n3. **Consciousness mapping — mapping built, visual not.**\n   `a432ConsciousnessMap` maps a digit sequence to a recursive stream.\n4. **Gateway visualization — 2D and generated, not 3D.** `vortex-svg.mjs`\n   draws `docs/public/vortex.svg` from `vortexStrokeGateways`;\n   `vortex:svg:check` fails when the two stop matching.\n5. **Harmonic synthesis — arithmetic built, no sound emitted.**\n   `calculateHarmonicSeries`, `calculateSubharmonicSeries`,\n   `calculateWaveHarmonics`.\n\nFour of the five want a presentation layer, not new mathematics.\n\n### Research Areas\n\nThese are the directions the model is *named* after, not results it has. What\nthe repository computes is arithmetic: digital roots, exact fractions, a\nquantum-circuit simulator, ML-KEM-768, and the thermodynamics in `src/thermo`.\nNo claim below is measured here.\n\n1. **Quantum formalism** — the simulator in `src/quantum` is a real\n   quantum-circuit simulator, checked by 24 recomputable facts. It models\n   qubits, not minds.\n2. **Dimensional folding** — an arithmetic construction over ℤ/9, sealed as\n   group theory. \"Dimension\" here indexes a coordinate, not a physical one.\n3. **Harmonic frequency arithmetic** — exact ratios over 432, kept as integer\n   fractions. Frequencies are computed, never emitted or measured.\n4. **Consciousness vocabulary** — the naming this project uses throughout. It\n   is not a model of awareness and nothing here measures any.\n\n**Not research areas**: energy harvesting and therapeutic use. `src/thermo`\ncomputes why the first cannot work, and the second is addressed below.\n\n## 🌟 Naming\n\nWhat the vocabulary denotes, which is arithmetic:\n\n- **432** — the base of every frequency ratio, carried as an integer fraction.\n- **3, 6, 9** — the axis; **1-2-4-8-7-5** the doubling orbit. Together they are\n  the group structure over ℤ/9ℤ that the seals prove.\n- **Golden ratio** — used as the fraction 8/5; the decimal is not carried.\n- **Exact ratios, not decimals** — an integer numerator over an integer\n  denominator. Some values are non-integer rationals (`2592/5` = 518.4 Hz);\n  what is refused is the lossy float, not the fraction, because collapsing\n  `2592/5` to a `number` stores 518.39999999999997726 and accumulates error.\n  See `CMYK_FREQUENCY_RATIOS`.\n- **Digital root** — reduction to one digit, the operation the rest is built on.\n\n## Health and safety\n\n**Nothing in this package is a medical device, a therapy, or health advice.**\nThis is a boundary statement, not a claim. Some documentation here has presented\ncolour, frequency and \"consciousness\" values as having effects on people. They\nare numbers produced by arithmetic on integers. No health effect is measured\nanywhere in this repository and no claim of benefit is made or implied; nothing\nhere has been clinically evaluated, and none of it should inform any decision\nabout anyone's health. If you are unwell, consult a clinician.\n\nThe cryptography carries its own warning: ML-KEM-768 here is conformant to\nFIPS 203 against NIST vectors but **not constant time**, so it must not protect\nanything where an attacker can measure decapsulation.\n\n## 🤝 Contributing\n\n**The licence is CC BY-NC-ND 4.0 — NoDerivatives.** A patch is a derivative\nwork, so offering one and merging it both need written permission first:\nlicense@zeropoint.bg. This section previously invited contributions anyway.\n\nWhat is wanted needs no permission, because none of it is a derivative work:\n\n- **Refutation.** A stated claim that does not recompute is the most useful\n  thing you can send. The seals are adjudicated by a third party for this.\n- **A defect report.** The input, and what came back.\n- **Recomputation.** Run `npm run check` and say where your result differs.\n\nSend the finding rather than the patch, unless you have arranged permission.\n\n## Sponsor\n\nIf this work is useful to you, you can support it at\n**[revolut.me/ceccec](https://revolut.me/ceccec)**.\n\nWhat sponsorship funds is the part that takes the longest and shows the least:\nthe gates. ML-KEM-768 checked against NIST's own ACVP vectors and 10 000\npq-crystals reference cases; 42 seals that each decide something finite and are\nadjudicated from outside the repository; a ratchet on twelve surfaces that only\never moves down. None of that is visible in a feature list, and all of it is\nwhat makes the claims here worth reading.\n\nNo obligation attaches either way — the licence is unchanged, nothing is gated\nbehind it, and no sponsor gets a say in what the checks report.\n\n## Publish\n\n<!-- CITE:BEGIN — generated by scripts/citations.mjs; do not edit by hand -->\n\n## How to cite\n\nCite the **concept DOI**: it resolves to the newest release, where a\nper-version DOI goes stale. `CITATION.bib` in this repository carries this\nentry and every reference below it, generated — you should never need to type\none.\n\n```bibtex\n@software{zeropoint-node,\n  title   = {ZeroPoint Node},\n  author  = {Rouschev, Tsvetan},\n  year    = {2026},\n  version = {1.5.8},\n  doi     = {10.5281/zenodo.22178675},\n  url     = {https://node.zeropoint.bg},\n}\n```\n\nRouschev, T. (2026). *ZeroPoint Node* (Version 1.5.8) [Computer software]. https://doi.org/10.5281/zenodo.22178675\n\n### Built on\n\n| | |\n| --- | --- |\n| proof kernel | Lean 4 — 59 of 83 statements accepted, dependency sets recorded per theorem |\n| reference resolution | Crossref REST API — 19 DOIs, each re-resolved to the title recorded beside it |\n| archive | Zenodo — concept DOI [10.5281/zenodo.22178675](https://doi.org/10.5281/zenodo.22178675) |\n| licence | CC-BY-NC-ND-4.0 |\n\n<!-- CITE:END -->\n\n<!-- VERSION:BEGIN — generated by scripts/version-seal.mjs; do not edit by hand -->\n\nPackage: **`zeropoint-node@1.5.8`** · owner `ceccec` · git tag `v1.5.8`\n\nnpm rejects republishing a version that already exists, so every release is a\nnew number. Bump with `npm version patch|minor|major`: that reseals CITATION.cff\nand this block, opens a CHANGELOG heading, and creates the matching `v*` tag.\n\n<!-- VERSION:END -->\n\nReleases publish from CI: `.github/workflows/publish.yml` runs on a `v*` tag,\ngates on `npm run check`, and publishes with provenance.\n\n## 📄 License\n\nLicensed under **Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)** — see [LICENSE](LICENSE).\n\n- **Attribution** — credit ZeroPoint Node (ceccec) and link back to the source.\n- **NonCommercial** — no commercial use.\n- **NoDerivatives** — you may not distribute modified versions.\n\nCommercial licensing or any use beyond these terms: [license@zeropoint.bg](mailto:license@zeropoint.bg).\n\n## 🌟 Acknowledgments\n\nSources of the naming and the structures, acknowledged as influences and not\nas endorsements: Marko Rodin (vortex mathematics, the coil), Nikola Tesla (the\n3-6-9 emphasis), sacred geometry, the Kabbalistic Tree of Life, and the\nformalism of quantum mechanics, which `src/quantum` simulates and which says\nnothing about consciousness.\n\n## 🌌 Contact\n\n- **Contact**: [node@zeropoint.bg](mailto:node@zeropoint.bg)\n- **Documentation**: [node.zeropoint.bg](https://node.zeropoint.bg)\n- **GitHub Issues**: [ceccec/zeropoint-node issues](https://github.com/ceccec/zeropoint-node/issues)\n\n---\n\n*The sequence `0\\1\\2\\4\\8/7/5/3\\6\\9/0\\1` is the order of the corpus and the\norder of the work.*\n","readmeFilename":"README.md"}