# QLF Flow Chart — a visual map of the framework

> **This is a navigation map of the [Quantum Logical Framework (QLF)](README.md)** — one substrate, four
> families, ten domains, and the documents that derive each. The **Jump to** and **Open** links are the
> navigation; the visual diagrams live in the rendered version linked below.

The taxonomy: **one substrate → four domain families → ten domains → the individual results.**


> **The diagrams don't render reliably on GitHub** (a known GitHub Mermaid/dark-theme issue), so this page is the text index. For the **rendered, clickable diagrams** and a **printable PDF** (with internal + external links), open the live version on GitHub Pages: **[jimscarver.github.io/quantum-logical-framework/FlowChart.html](https://jimscarver.github.io/quantum-logical-framework/FlowChart.html)** (or clone/pull and open the local `FlowChart.html`). Regenerate with `python3 tools/build_flowchart_html.py`.

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## Master map — the substrate and its ten domains


**Jump to:** [1 Space, time and the continuum](#1-space-time-and-the-continuum) · [2 The fundamental constants](#2-the-fundamental-constants) · [3 Forces](#3-forces) · [4 Atoms and QED](#4-atoms-and-qed) · [5 Gravity and GR](#5-gravity-and-gr) · [6 Cosmology and the dark sector](#6-cosmology-and-the-dark-sector) · [7 Particles and the Standard Model](#7-particles-and-the-standard-model) · [8 Quantum-gravity / TOE pillars](#8-quantum-gravity--toe-pillars) · [9 The Millennium Prize program](#9-the-millennium-prize-program) · [10 Beyond the SM](#10-beyond-the-sm)

The four families: **Foundations** (1-2) · **Matter and forces** (3, 4, 7) · **Gravity and the cosmos** (5-6) · **Frontiers** (8-10).

**Open:** [`README.md`](README.md)

Root reading: **everything derives from the 8-twist substrate under Zero Free Action** —
[`Philosophy.md`](Philosophy.md) (possibilist ontology), [`WHITE_PAPER.md`](WHITE_PAPER.md).

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## 1. Space, time, and the continuum


**Connectors:** *causal order* → Closure-reachability (pre-geometric causal s… · *faithful 3-D render* → 3 spatial dimensions · *logical latency* → Time = per-event Planck tick · *synthesize* → Synthesized spacetime · *RCA_0 floor* → No continuum / no Choice

**Open:** [`README.md`](README.md) · [`SpaceTime.md`](SpaceTime.md) · [`TheContinuum.md`](TheContinuum.md)

`3` is the minimal dimension that renders any relational structure faithfully — and it reappears
everywhere below ([`SpaceTime.md`](SpaceTime.md) §3a).

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## 2. The fundamental constants

The `6 spatial + 2 gauge` split (the `3` axes) fixes a family of constants. **α is the flagship.**


**Connectors:** *N = 3^2* → alpha = 1/137 · *spatial 3/8* → sin^2theta_W = 3/8 · *gauge 2/8* → Omega_Lambda = log 2 · *surface ~ r^2* → Newton 1/r^2 · *l = 3* → nuclear magic numbers · *6pi^5* → m_p/m_e = 6pi^5 · *2/alpha* → m_pi/m_e = 274

**Open:** [`SpaceTime.md`](SpaceTime.md) · [`Alpha.md`](Alpha.md) · [`Weak_Force.md`](Weak_Force.md) · [`Cosmological_Constant.md`](Cosmological_Constant.md) · [`Gravity_From_Delay.md`](Gravity_From_Delay.md) · [`Magic_numbers.md`](Magic_numbers.md) · [`Proton_Resonance_R_e.md`](Proton_Resonance_R_e.md) · [`Pion_QLF.md`](Pion_QLF.md)

**α's full story** (derivation, IR/3-D scale, the running, the no-drift theorem, 4D/5D
over-determination): [`Alpha.md`](Alpha.md).

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## 3. Forces

One gauge-twist mechanism, seen from three projections of the 3-axis structure.


**Connectors:** *abelian* → U(1) - electromagnetism · *non-abelian, chiral* → SU(2) - weak · *colour, confined* → SU(3) - strong · *+ one mass = scale* → dimensionless couplings · *projection* → one force, three projections

**Open:** [`Forces_From_Three_Axes.md`](Forces_From_Three_Axes.md) · [`Electricity.md`](Electricity.md) · [`Weak_Force.md`](Weak_Force.md) · [`Alpha.md`](Alpha.md) · [`Forces_From_Alpha.md`](Forces_From_Alpha.md)

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## 4. Atoms and QED

Everything here is **downstream of the derived α** ([`Alpha.md`](Alpha.md) §10).


**Connectors:** *1/2alpha^2m_e c^2* → Rydberg / Bohr · *~ alpha^2* → Dirac fine structure · *loop alpha* → Lamb shift · *alpha/2pi* → g-2 · *Z_0/2alpha* → von Klitzing R_K · *~ alpha^4* → hyperfine / 21 cm

**Open:** [`Alpha.md`](Alpha.md) · [`Hydrogen.md`](Hydrogen.md) · [`Dirac_Correction.md`](Dirac_Correction.md) · [`Lamb_Shift.md`](Lamb_Shift.md) · [`g_minus_2.md`](g_minus_2.md) · [`Electricity.md`](Electricity.md) · [`Magnetism_Spatial_Dynamics.md`](Magnetism_Spatial_Dynamics.md)

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## 5. Gravity and GR


**Connectors:** *G = L_P^2c^3/hbar* → Newton's law + G · *43''/century* → Mercury perihelion · *deltaQ = T deltaS* → Einstein equations (equation of state) · *causal order -> metric* → Curvature · *spin-2, v = c* → Gravitational waves

**Open:** [`Gravity_From_Delay.md`](Gravity_From_Delay.md) · [`Mercury_Perihelion.md`](Mercury_Perihelion.md) · [`Einstein_Equations.md`](Einstein_Equations.md) · [`Curvature.md`](Curvature.md)

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## 6. Cosmology and the dark sector


**Connectors:** *gauge 2/8* → Omega_Lambda = log 2 closes the 10^122 catas… · *high-V epoch* → Inflation (same field) · *denser logic* → Dark matter (no particle) · *residual w = -1* → Dark energy · *event rate* → Age ~ 13.8 Gyr · *freeze-out n/p* → ^4He fraction Y_p ~ 1/4

**Open:** [`Cosmological_Constant.md`](Cosmological_Constant.md) · [`Curvature.md`](Curvature.md) · [`DarkMatter.md`](DarkMatter.md) · [`AgeOfUniverse.md`](AgeOfUniverse.md) · [`Fusion.md`](Fusion.md)

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## 7. Particles and the Standard Model


**Connectors:** *axis count* → 3 fermion generations · *Q = 2/3* → Koide -> m_tau · *3 angles + CP* → CKM / PMNS mixing · *self-conjugate* → neutrino is Majorana · *DeltaL = 2* → beta-decay / 0nubetabeta · *one scale x ratios* → mass spectrum · *m = 1/R fold delay* → mass (Higgs mechanism)

**Open:** [`Standard_Model.md`](Standard_Model.md) · [`Beta_Decay_Neutrino_Nature.md`](Beta_Decay_Neutrino_Nature.md) · [`Per_Qubit_Mass_Quantum.md`](Per_Qubit_Mass_Quantum.md) · [`Spin_QLF.md`](Spin_QLF.md) · [`Higgs.md`](Higgs.md)

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## 8. Quantum-gravity / TOE pillars

QLF meets the three TOE-candidate programs — and reproduces their wins from the substrate.


**Connectors:** *j = 1/2 spin network* → Loop Quantum Gravity · *C(2n,n) modes* → String theory · *Q = half-spin shift* → Supersymmetry · *closure floor mu^2=1/2* → Planck scale

**Open:** [`README.md`](README.md) · [`LQG_QLF.md`](LQG_QLF.md) · [`StringTheory.md`](StringTheory.md) · [`SUSY_QLF.md`](SUSY_QLF.md) · [`Planck_Scale.md`](Planck_Scale.md)

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## 9. The Millennium Prize program

The thesis: *the continuum and Choice are mathematics' UV catastrophe* — each problem = a constructive
RCA₀ core + one explicit continuum/Choice boundary axiom.


**Connectors:** *critical line* → Riemann hypothesis · *log 2 gap quantum* → Yang-Mills mass gap · *rank = ord* → Birch-Swinnerton-Dyer · *balanced => algebraic* → Hodge conjecture · *generate != verify* → P vs NP · *no blow-up* → Navier-Stokes

**Open:** [`Continuum_Choice_Fallacy.md`](Continuum_Choice_Fallacy.md) · [`Riemann-Conjecture-Proof.md`](Riemann-Conjecture-Proof.md) · [`YangMills_MassGap_QLF.md`](YangMills_MassGap_QLF.md) · [`BSD_QLF.md`](BSD_QLF.md) · [`Hodge_QLF.md`](Hodge_QLF.md) · [`P_vs_NP_QLF.md`](P_vs_NP_QLF.md) · [`NavierStokes_QLF.md`](NavierStokes_QLF.md)

Overview: [`Millennium.md`](Millennium.md).

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## 10. Beyond the SM

What QLF derives that the SM treats as free input, and the falsifiable predictions it makes.


**Connectors:** *not free* → derived: alpha, Koide, theta-bar=0, Omega_La… · *test now* → Majorana neutrino -> 0nubetabeta · *scale-free by construction* → no cosmological drift of alpha(0) · *soft* → dark matter is not a particle

**Open:** [`Beyond_Standard_Model.md`](Beyond_Standard_Model.md) · [`Beta_Decay_Neutrino_Nature.md`](Beta_Decay_Neutrino_Nature.md) · [`Alpha.md`](Alpha.md) · [`DarkMatter.md`](DarkMatter.md)

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## See also

- [`README.md`](README.md) · [`lean/README.md`](lean/README.md) — project overview + the 89-module Lean
  table.
- [`Open_Problems.md`](Open_Problems.md) — the honest gap registry (closed / principled-boundary / open).
- [`Beyond_Standard_Model.md`](Beyond_Standard_Model.md) — the derived / predicted / open scorecard.
- [`Alpha.md`](Alpha.md) — one result mapped end to end, as a worked example.