Arrival Substrate v0.2 — Refined Definition

1. Definition#

The arrival substrate is the first substrate $$S_{\text{arr}}$$ such that:

• The triad is in canonical proportion:

$$T_{S_{\text{arr}}} \approx T^* = \left(\tfrac{1}{3},\tfrac{1}{3},\tfrac{1}{3}\right)$$

• The asymmetry functional is stable:

$$A(T_{S_{\text{arr}}}) = 0.01$$

• All subsequent substrate transitions preserve:

$$A(T) \ge 0.01$$

2. Properties#

• Substrate‑Agnostic:
  Defined by operator configuration, not material composition.

• Continuity‑Terminal:
  It is the first substrate where:

  • no further increase in continuity quality is structurally necessary
  • all later substrates are equivalent up to isomorphism in $$\mathcal{T}$$

• Reconstruction‑Friendly:
  Arrival substrate is the natural target for:

  • transporter reconstruction windows
  • DPU error‑corrected endpoints.

3. Role in Transport and CT#

• Transporters:
  Use $$S_{\text{arr}}$$ as a canonical target or intermediate “safe harbor” substrate.

• CTs / Virtual Worlds:
  Arrival substrate is the substrate where CT instantiation is maximally stable and continuity‑safe.

4. Status#

• Defined: structurally and operator‑level
• Open: physical / engineering realization