Diagram Specification — Transporter Envelope (Goal #2)

Canvas#

  • Aspect ratio: 16:9
  • Background: black → deep indigo gradient
  • Style: minimal, geometric, operator‑first

Core Layout#

1. Source Substrate Node#

  • Shape: circle
  • Label: Source Substrate
  • Inside: small triad icon (three equal sectors)
  • Annotation: T_source = (s, c, u)

2. Target Substrate Node#

  • Shape: circle
  • Label: Target Substrate
  • Inside: small triad icon (three equal sectors)
  • Annotation: T_target = (s', c', u')

3. Transporter Envelope#

  • Shape: rounded rectangle enclosing the arc between source and target
  • Label (top): Transporter Envelope
  • Label (bottom): Continuity Constraints: T, A(T), γ

4. Continuity Arc#

  • Element: curved arrow from Source → Target, fully inside the envelope
  • Label: γ : [0,1] → 𝒯
  • Sub‑label: Arc Value Modulation (AVM)

5. Asymmetry Indicator#

  • Element: thin ring around each triad icon
  • Color: bright violet
  • Label: A(T) = 0.01
  • Constraint text near envelope: A(T(t)) > 0 ∀ t ∈ [0,1]

Callouts#

  • Callout 1 (left, near source):
    Identity State: T_source
    O(T_source) = (T_source, A(T_source))

  • Callout 2 (center, on envelope):
    Transport Valid IFF:
    • T(t) ∈ 𝒯
    • A(T(t)) > 0
    • No branch / no duplicate

  • Callout 3 (right, near target):
    Identity Preserved:
    T_target ≈ T_source (up to legal substrate instantiation)

Caption#

A transporter is a continuity‑preserving envelope around a substrate transition arc γ, where the triad T and asymmetry functional A(T) remain valid and non‑zero for the entire path.