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Projects/PHI369 Canon & Math Workbench

Project Genome · PHI-001

PHI369 Canon & Math Workbench

An input-general mathematics and evidence program with explicit claim boundaries, formula custody, and reproducible workbench artifacts.

draftCore canonTier 1
PHI369 Canon & Math Workbench project field card
Registry-bound visual · B4
RegionPhi369 Labs
Status Active
MaturityGrowing
EvidenceResearch-grounded
Visibilitypublic candidate
RecordUpdated 2026-07-25
Guided appearances
UnderstandWander

01

Origin condition

Why it exists

Pattern-rich mathematics is especially vulnerable to circular demonstrations: choose a suggestive input, build operators around it, and then mistake the resulting pattern for evidence that the input was special. PHI369 exists to preserve wonder while forcing every claim through input-general definitions, proofs, tests, and explicit boundaries.

Can a visually compelling mathematical program remain rigorous enough to survive arbitrary admissible inputs?

02

Working system

What it does

  • ∀
    Requires input-general claims

    Theorems and invariants must hold for arbitrary admissible states, not only branded vectors or attractive sequences.

  • ▤
    Separates formulas from claims

    The Formula Atlas, Claim Boundary Matrix, and canon index keep definitions, evidence, and speculation distinct.

  • ⌬
    Supports reproducible work

    A workbench and paper trail make calculations, assumptions, counterexamples, and revisions inspectable.

03

System anatomy

Architecture

The program is organized as a canon index, formula atlas, claim-boundary matrix, workbench, paper series, and governance review process.

01demonstrated

Canonical definitions

Stable notation, domains, admissibility conditions, and versioned formulas.

02forming

Workbench

Executable calculations and input-general test harnesses.

03demonstrated

Claim boundary matrix

Maps each statement to proof, computation, observation, hypothesis, or aesthetic interpretation.

04demonstrated

Publication ledger

Papers, DOI records, reviewer objections, corrections, and supersession history.

04

Present tense

Current state

PHI369 Canon & Math Workbench is recorded as Active at the Growing stage. The inventory currently marks 4 artifact lanes Ready, 4 Partial, and 0 Missing.

SeedSproutGrowingCanopyStewarded

B3 Tier 1 room draft · Core canon · Research-grounded evidence · public candidate

05

Honest edges

Known limitations

  • The broader program contains both rigorous and exploratory material; readers must not transfer evidence across that boundary.
  • Aesthetic associations involving 3–6–9, spirals, shells, or phi are not mathematical connections without proof.
  • Computational pattern detection does not substitute for theorem proof or external empirical validation.
  • The workbench still requires broader adversarial testing and independent mathematical review.

06

Claim boundary · v1.1.0

What we are—and are not—saying

Supported

PHI369 has a documented canon structure, formula and claim-boundary artifacts, an input-general governance rule, and a public Paper 1 DOI record.

Not claimed

This record does not establish mystical significance for 3–6–9, universal physical laws, novel theorems not explicitly proved, or empirical effects beyond cited evidence.

07

Development memory

Ledger

B3-PHI-001-01
Publication

Paper 1 registered with DOI 10.5281/zenodo.21121324.

✓ Published
B3-PHI-001-02
Governance

Input-general rule frozen: arbitrary admissible states, not a privileged 3–6–9 vector.

✓ Accepted
B3-PHI-001-03
Portal

Tier 1 room drafted around formula custody and claim boundaries.

✓ Draft

Curated project receipts · source-file binding and human review remain pending

08

Directional, revisable

Roadmap

01
Now

Consolidate the public canon

Link the Canon Index, Formula Atlas, Claim Boundary Matrix, and paper record in one room.

02
Next

Publish adversarial examples

Show failed conjectures, arbitrary-input tests, and counterexamples alongside successful results.

03
Later

Seek independent review

Invite mathematical critique focused on definitions, proofs, novelty, and reproducibility.

10

B10 evidence trail

Featured evidence

source bound

Direct original-source trail

B11 adds README-verified public repositories, live experiences, publications, or creator channels. These establish source availability without proving every project claim.

PHI369 Canon & Math Workbench evidence board
experience · live-system

PHI369 Element Spiral Atlas — Live Demo

Public interactive deployment of the experimental periodic-table projection and research-notebook interface.

Open bound artifact
code · public-repository

PHI369 Element Spiral Atlas — Public Repository

Golden-angle and Fibonacci periodic-table visualization with null-safe scientific-property overlays, 369 lenses, exports, and explicit claim boundaries.

Open bound artifact
document · publication

PHI369 Paper 1

Public DOI-backed artifact requiring accurate portal citation.

Open bound artifact
visual · project-card

PHI369 Canon & Math Workbench — Project Field Card

B4-generated visual identity card built directly from the reviewed constellation registry.

Open bound artifact
data · genome-snapshot

PHI369 Canon & Math Workbench — Public Genome Snapshot

Public-safe JSON snapshot of the current project registry or expanded Project Genome.

Open bound artifact
Open the full evidence board

M

B11 original media

Open the original trail

Public source and live experimental element-spiral atlas.

public repositorycode

PHI369 Element Spiral Atlas — Public Repository

Golden-angle and Fibonacci periodic-table visualization with null-safe scientific-property overlays, 369 lenses, exports, and explicit claim boundaries.

Open original source GitHub · MichaelWave369/phi369-element-spiral-atlas · README verified 2026-07-25
live systemexperience

PHI369 Element Spiral Atlas — Live Demo

Public interactive deployment of the experimental periodic-table projection and research-notebook interface.

Open original source GitHub Pages live demo · README verified 2026-07-25
publicationdocument

PHI369 Paper 1

Public DOI-backed artifact requiring accurate portal citation.

Open original source External DOI record
Open the complete original-media intake

11

Publication intake

Artifacts & sources

Detail roomPartial
SummaryReady
Hero / posterPartial
SpecificationsReady
Demo / repositoryPartial
Public linkPartial
Claim boundaryReady
RelationshipsReady
canonindexed

PHI369 Canon Index

Authoritative map of formulas, claims, and versions.

View archive recordarchive:intake/phi369-canon-index
governanceindexed

Claim Boundary Matrix

Separates proved, computed, observed, hypothesized, and aesthetic statements.

View archive recordarchive:intake/phi369-claim-matrix
publicationBound

PHI369 Paper 1

Public DOI-backed artifact requiring accurate portal citation.

Open bound artifact External DOI record

Source basis

PHI369 Canon artifacts + Paper 1 DOIarchive:intake/phi369-canon/source-basispublic-artifact
Enter the Field B3 Tier 1 room draftportal:project/phi369-canon@v0.4-b3planning-inventory

Review: Canon, claims, privacy, accessibility, and publication review · pending

12

Move with evidence

Next actions

primaryBegin with the claim matrix

The strongest path into PHI369 is through what each statement is allowed to mean.

reviewReview the artifact register

See which source packages, visuals, demonstrations, and public links are actually ready.

secondaryTrace related projects

Follow documented dependencies and neighboring systems without inventing connections.