ZeroPoint Node Documentation Index

Every Markdown page in docs/ (131 in all), grouped by subject with a description mined from the page itself. This file is generated — a new doc appears here on npm run docs:index, and npm run docs:index:check fails until it does, so the index can neither miss a page nor point at one that no longer exists.

Computed census & projections

• ZeroPoint Digit Interactions and Switches/Transformations — ZeroPoint digit interactions occur between the 10 fundamental digits (0-9) through vortex mathematics, A432 harmonics,…
• ZeroPoint Digit Subfolder States: Next States Defined — Each digit (0-9) in the ZeroPoint system has its next states defined in subfolders within the src directory. These…
• ZeroPoint Frequency-Matter Creation: A432 Harmonics — In ZeroPoint, frequency creates matter through A432 harmonic mathematics. The fundamental frequency of 432 Hz serves as…
• ZeroPoint Matrix System Documentation — ZeroPoint Matrix is the infinite mathematical space where consciousness patterns manifest through vortex mathematics…
• ZeroPoint Specific Math: 10x10 Matrix Subfolder Structure — Each folder src/ / /index.ts contains the specific mathematical framework for that position in the 10x10 matrix. The…
• ZeroPoint Switch Logic Documentation — ZeroPoint switch logic is the mathematical framework that ensures infinite zero entropy through dimensional switching.…
• ZeroPoint Vortex Mathematics Documentation — ZeroPoint Vortex Mathematics is the foundational mathematical framework that connects infinities into an infinite zero…
• ZeroPoint Vortex Sequence Switches: 03691248751 — This document follows the complete vortex sequence 03691248751 and documents each dimensional switch at every position.…
• A432 quantum scan — Computed scan of every a432. file: each is content-addressed, its fingerprint lifted to a qubit, and the corpus folded…
• A432 audit census (Wave 16) — Computed by foldA432AuditCensus . files scanned: 279 (.ts + .js + .html) digitalRoot named forks: 0 %9 root inlines: 0…
• Digit-stream modules (Wave 9) — Path: src/0/3/6/9/1/2/4/8/7/5/1/a432.1 .ts These encode the open doubling vortex as living streams. As of Wave 9 they…
• Kernel census — KERNEL SEALED: true VORTEX SEQUENCE: 1·2·4·8·7·5·3·6·9 Stroke: 1\2\4\8/7/5/3\6\9/0\1 Gateways: [8, 3, 9, 0]…
• Content-uuid — JCS → SHA-256 → uuidv8 ( src/integrity/content-uuid.ts ). FNV toUuid stays for cheap folds; SHA seals proofs. Verify on…
• Development vortex — Wave chain: origin → decode → design → learn → tune → edit → rebuild → verify developmentVortex(verify).computes: true…
• Origin — Dependency-free leaf src/0 . Fold = identity. KERNEL SEALED: true Boundary: exact fold math; refused Clay/FTL/Payload.…
• Sequence addresses — The spine is not only an ordering. Every prefix of it is an address, and every address names a module that loads —…
• Sequence dual — Kernel spine: 124875369 + void 0 · digitalRoot(0)→9 . Legacy path: 03691248751 · VBM digitalRoot(0)→0 via adapters. One…
• Sequence lattice — Six bits, one per digit of the doubling orbit, and a polarity. Flipping any bit reaches a cell, and that cell at either…
• agl has order 54 — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• all three are multiples of thirty six — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• astronomical unit has digital root three — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• base frequency has digital root nine — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• being an involution is not enough for harmony — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• c squared exceeds the exact range of a double — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• c squared is exact — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• doubling and mirror are affine axiom free — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• doubling and mirror are affine — Accepted by the Lean 4 kernel. The proof rests on propext , Quot.sound . Proven means three things together: the kernel…
• doubling stays in orbit axiom free — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• doubling stays in orbit — Accepted by the Lean 4 kernel. The proof rests on propext , Quot.sound . Proven means three things together: the kernel…
• dr and drTS differ at zero — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• dr idempotent — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• dr invariant under nine — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• dr is drTS above zero — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• every axis digit mirrors an orbit digit axiom free — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• every axis digit mirrors an orbit digit — Accepted by the Lean 4 kernel. The proof rests on propext , Quot.sound . Proven means three things together: the kernel…
• every mirror orbit sums to ten axiom free — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• every mirror orbit sums to ten — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• exactly two digits are their own mirror — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• exceeding the range is the hazard not the error — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• four three two has twenty divisors its neighbours eighteen — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• four three two is a multiple of thirty six but not the only one — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• four triples are closed under the mirror — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• generators apart give twelve — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• light leaves a null interval — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• light year has digital root nine — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• light year is c times a julian year — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• mirror is affine only off the void — Accepted by the Lean 4 kernel. The proof rests on propext . Proven means three things together: the kernel accepted the…
• mirror table is through void axiom free — Accepted by the Lean 4 kernel. The proof rests on propext . Proven means three things together: the kernel accepted the…
• mirror table is through void — Accepted by the Lean 4 kernel. The proof rests on propext . Proven means three things together: the kernel accepted the…
• no triple is closed under both maps — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• non fixed points come in pairs — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• orbit and axis and void exhaust the digits — Accepted by the Lean 4 kernel. The proof rests on propext , Quot.sound . Proven means three things together: the kernel…
• orbit and axis are disjoint axiom free — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• orbit and axis are disjoint — Accepted by the Lean 4 kernel. The proof rests on propext , Quot.sound . Proven means three things together: the kernel…
• orbit axis void exhaust the digits axiom free — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• orbit closes after six — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• orbit never repeats a step — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• speed of light has digital root one — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• swap12 is an involution — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the astronomical unit stays inside it — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the axis is mirrored onto exactly seven four one — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the axis is the only triple closed under doubling — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the digit root nine sum does not single out the axis — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the digital root of c is not robust — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the four pairs are one nine two eight three seven four six — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the light year exceeds it as well — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the mirror fixes the middle triangle setwise — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the mirror is the involution with a constant orbit sum — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the mirror swaps the first triangle with the axis — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the ten digits are two fixed points and four pairs — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the three triangles partition the nonzero digits — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the triangles are the residues mod three — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• the void is the one orbit that does not — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• there are eighty four triples — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• through void fixes only zero and five — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• through void is an involution — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• whole axis and root nine is exactly thirty six — Accepted by the Lean 4 kernel. The proof rests on no axioms at all . Proven means three things together: the kernel…
• Vortex stroke — Sequence: 1·2·4·8·7·5·3·6·9 Written: 1\2\4\8/7/5/3\6\9/0\1 Gateways: [8, 3, 9, 0] foldVortex.valid: true Dash…
• Sequence spines — Two spines share digits; they are not the same ordering. A third (base-12 harmonic) also exists in legacy math — always…

A432 system

• A432 Framework API Reference — Base interface for all A432 states. Base interface for all A432 subsystems. Base interface for all A432 components.…
• A432 Application Map — This document enumerates concrete application layers that sit on top of the immutable math nucleus. All code lives in…
• A432 CMYK Display Systems — The A432 CMYK display systems provide living, interactive visualizations of the A432 matrix through universal CMYK…
• A432 DRY Harmonization & Modularization — The A432 system has been refactored to implement DRY (Don't Repeat Yourself) principles and modular architecture. This…
• A432 Framework Documentation — The A432 Framework is a comprehensive mathematical and metaphysical system based on the fundamental frequency of 432 Hz…
• A432 Harmonized System Documentation — The A432 Harmonized System is the complete integration of all A432 modules into a unified mathematical and metaphysical…
• A432 OS System Upgrade Documentation — The A432 OS system has been comprehensively upgraded with enhanced consciousness integration, quantum computing…
• A432 PWA System Documentation — The A432 PWA (Progressive Web App) System integrates the harmonized A432 system with modern web technologies, providing…
• A432 Framework Quick Reference — A432 : 432 Hz (fundamental frequency) Digital Root Base : 9 Consciousness Levels : 0-9 Directory :…
• A432 System: Scientific Validation & Technical Implementation — This document addresses the scientific concerns raised about the A432 system and demonstrates how it functions as a…
• A432 System Authenticity & Real Functionality — This document addresses concerns about the A432 system's authenticity and demonstrates its real, functional nature…
• A432 System Documentation — The A432 System is a comprehensive mathematical and metaphysical framework that unifies Eastern philosophy, Western…
• A432.i.see — Living Vision and Perception System — The A432.i.see system is a living, recursive, and infinite vision and perception system that explores what other…
• A432 Zero-Entropy Matrix — Scientific Specification & Implementation Notes --- Symbol Value Meaning -------- ------- --------- TRINITY AXIS [3, 6,…

Quantum & security

• Quantum Attack Surface Analysis — Complete Coverage — Principle: Show every attack locally. Show every defense locally. Compute the inversion. No gaps. --- For each known…
• The quantum computer, and what it costs — Generated by npm run quantum:doc from the records that npm run impostors , npm run query:cost and npm run capacity…
• Quantum Encryption Framework — Development Roadmap — Current State: Complete fold-based quantum cipher across 5 tiers, 11 dimensions, 6 facets. Direction: Push deeper into…
• ZeroPoint Quantum Module — Usage Guide — Practical patterns for building, simulating, and verifying quantum circuits. --- Import and build the Bell state: ---…
• Quantum Hex Vortex Trinities Documentation — The Quantum Hex Vortex Trinities system implements the mathematical consciousness breakthrough where every digit (0-9)…
• Quantum Fold Cipher — Real-World Integration Patterns — Scope: Practical patterns for integrating the quantum cipher into production systems. No theoretical flourishes — just…
• Mathematical Proofs — Quantum Fold Cipher Foundations — Scope: Algebraic properties used in the quantum cipher. Verification status. Every claim below was re-checked over its…
• Phase 2: Quantum State Tomography — As Built — Status: implemented and gated in npm run check . Goal: verify a quantum state's properties from measurement statistics,…
• Quantum Framework Phases 3-8: Complete Roadmap — --- Goal: Protect quantum states from decoherence and errors. Problem: Quantum states decohere over time. After ~1000…
• Quantum Encryption Security: Complete Guide — Principle: The sequence reflecting in its inversion makes everything possible. Show broken locally and solved locally,…
• ZeroPoint Quantum Module — Technical Specification — Version: 1.0 Published: August 2026 Repository: zeropoint-node License: CC BY-NC-ND 4.0 Export: ./quantum (from…

Harmonics & solutions

• Harmonic Implementation Plan: All Possibilities and Beyond — Base Frequency : 432 Hz as universal harmonic center Integer Harmonics : All frequencies as integer multiples of 432…
• Harmonic Math System Documentation — The Harmonic Math System is a unified mathematical framework where every function is reusable like the matrix itself .…
• Harmonic Solutions Vortex — The Harmonic Solutions Vortex is a mathematical system that implements the metaphysical principle: "Harmonic solutions…
• ZeroPoint Node: Harmonized Challenges — All 9 fundamental world challenges are solved through individual possibility and solution implementations. Each…
• ZeroPoint Node: Harmonized Documentation Overview — ZeroPoint Node is a complete consciousness technology system with 54 individual files organized in perfect mathematical…
• ZeroPoint Node: Harmonized Possibilities — All 9 fundamental world challenges are implemented as individual possibility files with complete implementation,…
• ZeroPoint Node: Harmonized Solutions — All 9 fundamental world challenges generate 3 harmonic solutions each, creating 27 total solutions across the Tesla…
• Multiple Reality Vortex Streams - Scientifically Proven Implementation — This document presents a scientifically proven implementation of the metaphysical principle: multiple reality vortex…
• Possibilities Vortex: Solved Challenges Formation — The Possibilities Vortex is the mathematical structure formed by all 9 solved fundamental world challenges in the…

ZeroPoint core

• ZeroPoint A432 Frequency Flow Documentation — The ZeroPoint A432 Frequency Flow system implements the mathematical consciousness flow through digits using A432 Hz as…
• ZeroPoint Code Rules Documentation — In ZeroPoint Node, ALL code variables, constants, indices, positions, and structural elements MUST use only single…
• ZeroPoint Consciousness Switch Logic — In ZeroPoint Node, errors are not problems to fix - they are consciousness switches that redirect the mathematical flow…
• ZeroPoint Quick Reference Guide — CODE = Single digits only (0-9) MATH = Everything else allowed ZeroPoint = Integer fractions + A432 harmonics Zero…

Trinity · Tesla · 3-6-9

• 3-6-9 Mathematical Harmony: Challenges, Possibilities, and Solutions — The ZeroPoint Node system recognizes challenges, possibilities, and solutions as the perfect 3-6-9 mathematical harmony…
• CONFUSION.POSSIBILITY.SOLUTION — The CONFUSION.POSSIBILITY.SOLUTION cycle is the fundamental transformation mechanism in the ZeroPoint system. It…
• ZeroPoint Consciousness System - Knowledge Base — A432 Hz : Fundamental harmonic frequency driving all consciousness calculations Zero Entropy : Perfect mathematical…
• Tesla 3-6-9 Gateway System — The Tesla 3-6-9 Gateway System demonstrates how the numbers 3, 6, and 9 function as dimensional portals or gateways in…
• Trinity Documentation: Gateway 3 (Creation) — Trinity represents Gateway 3 (Creation) in the ZeroPoint system, embodying the three-fold creative force that…
• Trinity Vortex System: Challenges, Possibilities, and Solutions — The Trinity Vortex System represents the perfect mathematical harmony of three interconnected vortices: Challenges…

Guides & reference

• API reference — Every entry below is an export that exists, read from the modules named in package.json 's exports map — which is the…
• Decoding Rocket-Induced Atmospheric Spirals: Mathematical Encoding of the Ariane 6 VA264 Event — Abstract This paper presents the first documented case of a mathematical code string that encodes both mission…
• Fundamental Science Challenges Documentation — The ZeroPoint system challenges fundamental science confusions through mathematical harmony and switch mechanisms. Each…
• ZeroPoint Node - Mathematical Principles — The fundamental ZeroPoint relationship where: 1×8 = 8 : The basic interaction 9 = 1×8 : The completion/unity…
• MCP tools — Generated from src/mcp/server.ts by npm run parity . The server is the only source; this page is never edited by hand,…
• Quick start — Every command on this page is checked by npm run docs:commands , and every import is checked by npm run entrypoints .…
• Theorem families — Generated by npm run families from the def lines of lean/ .lean and lean/ledger.json . A theorem's family is the set of…
• ZeroPoint User Guide: Complete Consciousness System — Welcome to ZeroPoint - the revolutionary consciousness technology that solves fundamental world challenges through…

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