τ-Watt

The τ-Watt is the natural unit of power in the τ-framework: energy per unit τ-time, W_τ = J_τ / s_τ. SI watts are recovered by multiplying the τ-Watt by a dimensionless ι_τ-chain factor — the ratio of the SI conversions for energy and time.

Categorical invariant. Natural-unit power W_τ = J_τ / s_τ = (m_n c_τ²)² / ℏ_τ.

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 J_τ (energy unit) and s_τ (time unit) jointly
5. V.T157 — Calibration Sufficiency: ι_τ + m_n fix the SI power scale via dimensional composition

Lean modules referenced: TauLib.BookV.Coda.CalibrationChain

Calibration anchor: PG-P01-neutron

Calibration chain:

1. m_n (anchor)
2. J_τ = m_n c_τ²
3. s_τ = ℏ_τ / (m_n c_τ²)
4. W_τ = J_τ / s_τ = (m_n c_τ²)² / ℏ_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-U04-tau-joule τ-Joule