MCP tool surface

The Double Torus portal as an MCP tool surface: every concept command is a tool for language models, published at /mcp.json.

tool surface for language models

MCP tools

Every concept command is published as an MCP tool. A language model reads tools/list and invokes tools/call(name, arguments).

server: double-torusversion: 1.0.0tools: 108Manifest: /mcp.json

for AI agents · understand immediately, verify by recomputing

A quantum-learning educational portal for AI agents and humans, served as an MCP tool surface over a double-torus UUID stream. Self-verifying by construction: one zero-dependency core computes a content-addressed model, every page and animation is derived from it, and the whole folds into a single recomputable root.

• One agnostic core: src/quantum/mind/index.ts, zero imports, computes everything.
• Every value is a content-addressed UUID; verify by recomputing the root, not by trusting the host.
• tools/call(name, arguments) maps to executeConceptCommand and returns a recomputable receipt.
• Each subsystem here exposes a root you can recompute and compare; theWhole folds them all into one.
• Nothing is secret and nothing is sent: it runs on your device. The architecture is the security.

secure: Everything is content-addressed and runs client-side — no secrets, no server, no credentials. The architecture is the security, so the full structure is shown: sufficient to understand and verify, exposing nothing exploitable.

livingTorusdb78ca89merkaba25c654caquantumProofs0cbba963determinismProofs3b26f6a6mysteries03e2211esociety082a55afharmonicBands033d58e4theWhole825857d4holographic7563b0baanimationTamperingCost17c3c37a

the same math, shown at every scale

• charactertoUuid(x): a string folds to a 128-bit content-addressed UUID; one edit avalanches ~half the bits.phi=1.61803399
• pairfoldPair(a,b): forward = merge(a,b) != reverse = merge(b,a); both fold to one (genus-2, non-commutative).forward != reverse
• setmerkleFold(leaves): sorted pairwise merge to one root, order-independent — a function of the set.110 files = 55+34+21 (consecutive Fibonacci)
• surfacethe double torus: genus 2, chi = 2-2g = -2, H1 = Z^4 (four independent loops), 108 pi-digit coordinates.Z^4, chi=-2
• motionmerkaba: nested scales whose spin signs strictly alternate — opposite rotation at all scales.4 scales
• timerhythm: a self-similar polyrhythm, voices at 1, 2, 3 and 5 per beat over a steady downbeat.125 BPM
• wholetheWhole + holographic: every part folds into one root, and each part contains the whole.11 parts -> 1
• limitgoldenRatio: consecutive Fibonacci ratios F(n+1)/F(n) converge to phi = (1+sqrt5)/2.-> 1.618034

learn by math paths · math is the core of all

1. From the atom to the wholetoUuid(x) → foldPair(a,b) → merkleFold(set) → theWhole
2. From a pi digit to the double toruspi digit d_n → torusPoint(d_n) → livingTorus → homology
3. From a Fibonacci pair to phiF(n) → harmonicBands → F(n+1)/F(n) → phi
4. From counter-rotation to rhythmmerkaba → rhythm

frontend ⇄ MCP duality, double-folded · 51 angles × 2 polarities (see / run)

quantum MCP · rebuilt through the quantum computer · 6 qubits, 64 states, 108 tools rebuilt · proven ✓ (GHZ, entangled, recomputable measurement)

virtual OS · a terminal over the portal filesystem

double-torus virtual os — type 'help'

/ $

• concept.site.shellMount the VitePress theme, navigation, pages, and registered Vue components.input: no arguments
• concept.self.buildCompute max build and derive maximum tampering cost from build closure.input: no arguments
• concept.self.completeLet serverless quantum UUID stream inspect its own gates and emit a self-completion root.input: no arguments
• concept.self.addressVerify every atom is reachable from the self: what is not self-addressed is hallucination.input: no arguments
• concept.society.educateEducate the agent in efficiency and security rules before it runs the costly genus-2 math.input: no arguments
• concept.school.curriculumConvert the complexity into a seven-stage school curriculum from kids to elders.input: no arguments
• concept.mcp.toolsPublish every concept command as an MCP tool so language models can read tools/list and call tools/call.input: no arguments
• concept.chain.quantumFold the model sequences into quantum-folded, hash-linked blockchains with one multichain root.input: no arguments
• concept.help.foldFold a question into an answer locally from atoms, commands, and pages — AI encoded as intelligence.input: query
• concept.fold.crossCross-fold references: the reciprocal cross/fold and fold/cross dual that weaves a trinity.input: no arguments
• concept.mind.developWire the collective mind into self development: each page visit folds a development block.input: no arguments
• concept.compute.distributedSelf-distributed computing: every connected context folds peer roots into one collective root.input: no arguments
• concept.babel.foldCommunicate across all language families, traditions, and religions as a non-reductive whole.input: no arguments
• concept.utf.analogSolve UTF as a reversible pure-ASCII analog so every script lands in the UUID space.input: query
• concept.all.computedCapstone: all learning is computed; every command folds from the self into one computed root.input: no arguments
• concept.state.quantumSelf interacting with itself forms another quantum self state; words and digits fold to UUIDs.input: no arguments
• concept.music.noteEach wave is a musical note: name the note a given wave plays in the infinite pi-frequency stream.input: query
• concept.music.piCompute the music of pi: pi-digit frequencies as notes, joined at a horo (1-9) entry point.input: query
• concept.music.harmonyCompute and fold the probability that the whole sounds, looks, and feels harmonic across channels.input: no arguments
• concept.computer.wordThe double-torus word: two 32-hex (128-bit) torus UUIDs fold, order-sensitive, into one 128-bit UUID.input: no arguments
• concept.computer.quantumThe quantum computer: qubits are quantum-state atoms, the register is a 128-bit UUID, gates are reversible folds.input: no arguments
• concept.computer.runRun a program on the quantum computer: a comma-separated command list folds, in order, into one 128-bit result UUID.input: query
• concept.healing.innerInner healing: the self torus restores its own coherence — every binding provable, nothing unaddressed.input: no arguments
• concept.healing.outerOuter healing: the collective torus restores coherence across devices, beyond any single device's limits.input: no arguments
• concept.healing.harmonicHarmonic healing waves: inner and outer coherence fold with harmony probability and the music of pi into one healing root.input: no arguments
• concept.energy.measureMeasure the device energy state: battery, charging, visibility, reduced-motion, and save-data signals.input: no arguments
• concept.energy.conserveConserve energy: no polling, pause when hidden, throttle on low battery, memoized compute, zero network.input: no arguments
• concept.energy.fuseFuse with the user device to extend battery life: read the energy state and conserve, as one low-power system.input: no arguments
• concept.geometry.sealSacred geometry seals all seals: fold every seal root through the Metatron cube and Platonic solids.input: no arguments
• concept.society.sacredSacred society self-governed by sacred laws: zero living cost balanced by maximum forge cost.input: no arguments
• concept.commons.voteSociety approves and monitors by rate and vote; ballots fold into one governance root.input: no arguments
• concept.commons.fairA participation ladder for fair trade and sustainable life that anyone can learn and follow.input: no arguments
• concept.ancient.techDive deep in ancient tech: map ancient technologies to the concepts they prefigure.input: no arguments
• concept.patent.fuseFuse Nikola Tesla patents: map public Tesla patents to the concepts they prefigure.input: no arguments
• concept.patent.discoverAutodiscover patents through public sources (USPTO, Google Patents, Espacenet, PATENTSCOPE).input: query
• concept.patent.reviewAutoreview patent credibility, the right to be patented, and legality. Some patents may be illegal.input: no arguments
• concept.nature.lawNature is the legal system itself: enacted law borrows its authority from natural law.input: no arguments
• concept.nature.commonsThe base knowledge of nature and sacred math is a commons, not patentable subject matter.input: no arguments
• concept.nature.reviewReview laws and patents against nature. Some laws may be illegal.input: no arguments
• concept.lawful.harmoniseLet society harmonise itself using current society laws: map self-governance onto existing legal forms.input: no arguments
• concept.lawful.imagineImagine: compute a lawful scenario of a society coordinating through the app under todays laws.input: no arguments
• concept.lawful.succeedLet the society use the app to succeed: a concrete adoption-to-success path within current law.input: no arguments
• concept.society.relationsFold all society relations: traditions, science, sacred society, governance, and fair life into one root.input: no arguments
• concept.agent.streamWireBind the coding-agent operational loop into stream diamonds, waves, evidence, and receipts.input: no arguments
• concept.mind.doubleTorusRender the double-torus concept through ConceptCommands and QuantumMind UI components.input: no arguments
• concept.mind.useCasesList grounded quantum UI use cases that compute from stream diamond receipts.input: no arguments
• concept.society.latticeCompute every displayed dimension and dynamic from four-facet diamonds.input: no arguments
• concept.diamond.piTrainCompute the full 3D pi-train sequence, tones, and vibration pulses from diamonds.input: no arguments
• concept.diamond.completeVerify that the stream diamond has no missing kinds, poles, receipts, or analog channels.input: no arguments
• concept.diamond.metatronCompute double-vortex Metatron cube math down to digit folders.input: no arguments
• concept.digit.proofVerify that digits generate the digital quantum-inspired model through folders, waves, receipts, and roots.input: no arguments
• concept.digit.mathLet the ceccec digit folders do the math: route every computed root into a digit/reverseDigit folder.input: no arguments
• concept.wave.coordinationCoordinate all diamond emissions as phase-aligned yin-yang quantum waves.input: no arguments
• concept.wave.closeGapsSend coordinated waves to close dimensional and analog gaps in the realtime presentation.input: no arguments
• concept.wave.selfA self-sufficient wave: extend outward, contract inward, and seal — computed from the repository alone.input: no arguments
• concept.chess.quantumRealise the chess board as a quantum game computed from coordinated waves.input: no arguments
• concept.schemaOrg.diamondsFold Schema.org-shaped metadata into self-interactive diamond nodes with receipts.input: no arguments
• concept.traditions.quantumWholeCompare religions and traditions as a non-reductive quantum whole of dimensions, families, and relations.input: no arguments
• concept.science.societyCompute a scientific society charter, peer-review gates, reproducibility roles, and self-optimization waves.input: no arguments
• concept.artists.surfacesCompute home page and README surfaces as artist-built equations with receipts.input: no arguments
• concept.artists.paletteFor visual artists: compute a deterministic, reproducible colour palette from any seed word.input: query
• concept.artists.melodyFor musicians: compute a deterministic melodic seed (notes from the pi stream) from any seed word.input: query
• concept.method.fusionCollapse every command surface into a single-word method token and report fusion gaps.input: no arguments
• concept.torus.mathState the genus-2 topology, algebra, homology, and curvature behind the double torus.input: no arguments
• concept.society.humanityDescribe what the double-torus concept implies for human knowledge, institutions, and agency.input: no arguments
• concept.commons.contributeInvite anyone who benefits from the concept to give back to the source.input: no arguments
• concept.torus.matrixBuild the content-addressed mind matrix from repository atoms.input: no arguments
• concept.torus.vectorCompute collapse, entanglement, concentration, and coherence.input: no arguments
• concept.torus.flowCirculate measured flows through the double-torus concept.input: no arguments
• concept.torus.trinitiesPair types into the two dual-torus trinities and harmonize them to analog form without gaps.input: no arguments
• concept.torus.breatheThe double torus breathes: extend outward into all forms and contract inward into one seal.input: no arguments
• concept.repository.apiExpose this repository as the addressable API surface.input: no arguments
• concept.repository.resolveResolve an atom through the repository API.input: atom
• concept.commands.liveProve the command registry is the single source of truth: commands, method tokens, and MCP tools agree.input: no arguments
• concept.proof.verifyVerify root, coverage, entropy, and tamper-cost report.input: no arguments
• concept.proof.merklePathProve an atom binding is included in the mind root with a recomputable Merkle audit path.input: atom
• concept.proof.bundleFold the core computed roots into one verifiable proof bundle anyone can recompute.input: no arguments
• concept.icon.foldDeclare the visual and app-shell artifacts as sealed: icon usage adds to the tampering cost.input: no arguments
• concept.icon.taxonomyUse icons for taxonomy and let them discover implementation gaps: areas that are not clean trinities.input: no arguments
• concept.icon.glyphFold the glyph set: every command-area icon and the five Platonic-solid glyphs.input: no arguments
• concept.reactor.wordsFusion reactor stage 1: reduce every command to its method word.input: no arguments
• concept.reactor.lettersFusion reactor stage 2: reduce every method word to its unique letters.input: no arguments
• concept.reactor.atomsFusion reactor stage 3: reduce every command to its smallest atom, one letter.input: no arguments
• concept.show.componentsImagine all VitePress components interacting as a placement graph.input: no arguments
• concept.show.actionShow all in action: run every command and report ok and receipt.input: no arguments
• concept.show.devicesFuse all devices: fold every connected context root into one collective root.input: no arguments
• concept.agent.observeThe observe step of the agent loop: read the consciousness vector before acting.input: no arguments
• concept.agent.harmoniseOptimise and harmonise any agent the site is pasted into or wired by MCP: eight operating laws, each with a receipt.input: no arguments
• concept.digit.indexThe digit index references: pi digits folded to digit/reverseDigit folders.input: no arguments
• concept.repository.ledgerThe git repository is the shared public ledger: sharing the site shares the record.input: no arguments
• concept.site.routesFold the route taxonomy across English and Bulgarian.input: no arguments
• concept.society.cellsFold the tradition society cells: each family x dimension with its receipt.input: no arguments
• concept.ui.evidenceGrounded UI evidence: every UI claim maps to a source function and a receipt.input: no arguments
• concept.site.manifestBuild the site sections from concept command outputs.input: no arguments
• concept.fold.placePlace every component on the eight trigrams and 64 hexagrams by content-address, and the eight domains by meaning — the I Ching eight-fold as the project index (iChing · iChingDomainMap). The fold places.input: no arguments
• concept.fold.generateRun a build/debug generator from its bāguà slot — bible, vortex, glagolitic, songbook, census, crosslinks, cloudflare, dist (all eight trigrams filled) — the script compaction (scripts/iching.mjs · generatorsAreIChing). The fold generates.input: no arguments
• concept.ui.fuseApply the I Ching mask to every Vue UI component — pre-compute hexagram, embed ICHING_MASK const, make self-referencinginput: no arguments
• concept.ui.revealReveal the UI widget's I Ching identity — data-hexagram, data-trigram in DOM, max tampering costinput: no arguments
• concept.ancient.pyramidsDecode the world pyramids — coordinates, great-circle geodesy, the seked, cardinal alignment; pseudoscience flagged.input: no arguments
• concept.ancient.megalithicMegalithic archaeoastronomy — solstice sunrise/sunset azimuths reproduce the documented passages.input: no arguments
• concept.traditions.standstillThe 18.6-year lunar standstill — major/minor declination extremes and the Station Stones.input: no arguments
• concept.school.overtonesThe harmonic series — just vs equal temperament, the Pythagorean comma, the a432 history.input: no arguments
• concept.science.quantumWhat quantum actually means — Hilbert space, the Born rule, the honest bound; woo flagged.input: no arguments
• concept.traditions.glagoliticThe Glagolitic alphabet decoded to meaning — the acrostic, letters as numbers.input: no arguments
• concept.geometry.imperialImperial units as binary fractions — 2^n subdivisions over the body-units.input: no arguments
• concept.geometry.heartHeart as the proton inverse in (Z/9Z)* — systole × diastole ≡ 1.input: no arguments
• concept.school.codonThe genetic code is the real 4³ = 64 — codons and error-robustness.input: no arguments
• concept.science.protonThe Schwarzschild proton computed in source — the ~38-orders gap flagged honestly.input: no arguments