τ-Ampere

The τ-Ampere is the natural unit of electric current in the τ-framework: charge per unit τ-time, A_τ = C_τ / s_τ. SI amperes are recovered by multiplying the τ-Ampere by a dimensionless ι_τ-chain factor — the ratio of the SI conversions for charge and time.

Categorical invariant. Natural-unit current A_τ = C_τ / s_τ; charge flux derived from the calibration cascade.

Primary registry anchor: IV.D255

Supporting items: I.D34, V.D231, V.T157

1. I.K0 — Universe Postulate establishes τ
2. I.D34 — Master constant ι_τ ≈ 0.341304 emerges from the categorical kernel
3. IV.D255 — ι_τ at the E₁ physics layer governs the dimensional cascade
4. V.D231 — The ι_τ-chain delivers C_τ (charge unit) and s_τ (time unit) jointly
5. V.T157 — Calibration Sufficiency: ι_τ + m_n fix the SI current scale via dimensional composition

Lean modules referenced: TauLib.BookV.Coda.CalibrationChain

Calibration anchor: PG-P01-neutron

Calibration chain:

1. m_n (anchor)
2. C_τ via α = (11/15)² ι_τ⁴ cascade
3. s_τ = ℏ_τ / (m_n c_τ²)
4. A_τ = C_τ / s_τ

Manuscript reference: manuscript-sources/book-05/part07-closure/ch-closure-constants.tex

Status: Formalized

Module: TauLib.BookV.Coda.CalibrationChain

Lean kind: def

Related glossary entries

• PG-P01-neutron τ-Neutron
• PG-U01-tau-second τ-Second
• PG-U06-tau-coulomb τ-Coulomb