Notation Reference

All symbols used in AP28, with structural source and disambiguation.

{S, B, R, C} — The four axioms of Notebook I. Independent (AP20 §4.2, fenced KS-P.2).

1:1 + 1×ε — The axiom. Perfect balance (1:1) plus one unpaired element (1×ε, the electron).

ε — The break (Axiom B), identified with the electron (The Lock), modelled as a topological puncture (AP04/AP05).

α_em — The fine-structure constant ≈ 1/137.036. The per-channel coupling — the probability that ε couples to itself through one channel.

α_G — The gravitational coupling, α_em²¹ × (1 + 1/π). The break read as geometry across all 21 channels.

G — Newton’s gravitational constant. G = α_G × ℏc/m_e² (the prediction of §7).

c — The speed of light. c = √(β/α) (AP03). Axiom C as speed.

ℏ — The Planck constant. The minimum eigenvalue of the time-evolution generator (Stone, AP12). Axiom B as minimum.

m_e — The electron mass. The break read as the energy of the lightest stable excitation.

α, β — Temporal and spatial substrate stiffness (AP03). Their ratio gives c². NOT the fine-structure constant.

κ — The holding limit (The Lock).

π — The geometric measure of the circular puncture boundary (Proposition 4). The 1/π factor is one winding’s weight.

channel — An independent coupling path from the electromagnetic to the gravitational face: a face-projection (i, j) or an actualisation coupling. There are 21.

face — An independent scalar reading of ε (AP24). There are six: G, c, α_em, m_e, stiffness ratio, time.

actualisation state — The now — the surface from which records are written (AP01, AP20). Couples to the three spatial dimensions, not to the faces (Proposition 2).

18 face-projections — 6 faces × 3 spatial dimensions (AP10). The paired channels — the 1:1 of the structure.

3 actualisation couplings — The now coupling to each of the three spatial dimensions. The additional degrees of freedom beyond the 18 face-projections.

21 — The total channel count: 18 + 3. The exponent on α_em. The number of rooms in the building (KS-R.8).

topological puncture — The electron’s core — a tube connecting the broken and unbroken vacua (AP04/AP05). Circular cross-section (Proposition 4).

AP03 (The Ratio) — Derives c from the substrate stiffness ratio.

AP10 (The Dimension) — Derives three spatial dimensions from the four axioms.

AP12 (The Limit) — Derives ℏ from Stone’s theorem.

AP15 (The Connection) — Derives electromagnetism from phase freedom; α_em as the per-channel coupling.

AP24 (The Residual) — Establishes the six independent faces of ε.

AP20 (The Proof) — EH and QRA proved; the axioms hold unconditionally.

CODATA 2018 — The source of the measured input values (α_em, ℏ, c, m_e) and the measured G = 6.674 × 10⁻¹¹.

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the420code.org

Series The 420 Code

Catalogue Ø Artist’s Proofs

Proof Number AP28

Title The Constant

Subtitle Forces and Constants

Medium Physics

Artist G

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