Master constant ι_τ

ι_τ = 2/(π + e) is the structural fixed point of the boundary holonomy algebra H_∂[ω] over the categorical kernel τ. It is a theorem about τ, not a parameter — uniquely determined by the kernel's structure under the Universe Postulate (I.K0). The Book-I definition is the algebraic anchor; downstream books (II–V) layer the categorical, spectral, and physical readouts on top.

Categorical invariant. ι_τ is the unique solution to the boundary fixed-point equation in H_∂[ω] at the lowest depth — characterized abstractly as the dimensionless invariant of the τ-categorical structure.

Primary registry anchor: I.D34

Supporting items: I.K0, I.D19, I.D33, I.D105

1. I.K0 — Universe Postulate — categorical kernel τ exists and is unique up to canonical equivalence
2. I.D19 — Boundary ring and scalars — the boundary algebraic structure τ exposes
3. I.D33 — Bounded powerset — finitary structure that supports the holonomy fixed-point construction
4. I.D34 — Master constant ι_τ defined as 2/(π+e), characterized as the unique fixed point of the boundary holonomy at lowest depth
5. I.D105 — τ-weighted boundary constants — derived ratios cascading from ι_τ

Lean modules referenced: TauLib.BookI.Boundary.IotaTauStructural, TauLib.BookI.Boundary.TauRealIotaTau, TauLib.BookII.Transcendentals.IotaTauConfirmed

Status: Formalized

Module: TauLib.BookI.Boundary.IotaTauStructural

Lean kind: def

Lean symbol: Tau.BookI.Boundary.iotaTauStructural