Notation Reference

All symbols used in AP14, with structural source and disambiguation.

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

ε — The minimum break (Axiom B), identified with the electron (The Lock). One record = one ε = one unit of action ℏ.

m_ε — The mass of ε (the electron). Appears in G = 2κ/m_ε².

ℏ — The minimum action per record (Axiom B, AP12). The quantum face of the break.

G — The gravitational coupling, G = 2κ/m_ε² (AP08). The gravitational face of the break.

c — The causal bound (Axiom C). The propagation limit.

Λ — The cosmological constant (Lovelock, AP08 §9). Sets the maximum causal volume.

ℓ_P — The Planck length √(ℏG/c³). ℓ_P⁴ is the Planck 4-volume — the spacetime occupied by one minimum record.

L — The observation scale. The only external parameter in the correction formula.

γ — The dimensionless one-loop combinatoric coefficient. Of order unity, form-fixed by dimensional uniqueness, value open (Gap 1; KS-26).

ℳ, (ℳ, ·) — The monoid of records (Axiom R). Countable, with no non-identity inverses.

M — The spacetime manifold — the monoid in the large-N limit (AP08).

ℋ (Hilbert) — The complex Hilbert space of the pre-state (AP09). Context distinguishes from ℏ the action quantum.

Û(t) — The unitary evolution operator exp(−iĤt/ℏ) between record events (AP09).

ℛ̂ — The record-writing operator. Its explicit matrix elements are Gap 1.

K, K₀, K₁, K_n — The transition amplitude and its sub-sums by virtual-record count (§2.5). K₀ classical, K₁ one-loop.

a(k) — The amplitude contribution of a virtual record at Planck cell k. Bounded by 1 (unitarity).

σ — The involution relating the two sectors ℒ and 𝓟 (Axiom S). σ = complex conjugation in the Born rule.

P = ψψ* — The Born rule (AP09 §6). P = Light × Dark. The canonical probability measure.

κ — The holding limit (The Lock). Appears in G = 2κ/m_ε². Determined by AP28’s channel count: 2κ = α_em²¹ × (1 + 1/π) × ℏc, so the holding-limit form and AP28’s channel-count form are one equation for G.

EH — The Embedding Hypothesis: the discrete monoid embeds faithfully into the smooth manifold. Proved in AP20.

QRA — Quantum-Record Alignment. Proved in AP20.

AP20 §4 — Carries the completeness (KS-P.1) and minimality (KS-P.2) of {S, B, R, C} as fenced obligations. The independence of the axioms — no one derivable from the others — is the minimality leg.

Donoghue (1994) — Effective-field-theory treatment of general relativity reaching G_eff ~ G(1 + const × ℓ_P²/L²) by an independent route. Cross-confirmation of the power-law scaling.

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the420code.org

Series The 420 Code

Catalogue Ø Artist’s Proofs

Proof Number AP14

Title The Correction

Subtitle Forces and Constants

Medium Physics

Artist G

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