Pulse Core Lexicon

Form Persistence Time

Definition

Form Persistence Time is how long a stable form survives, a duration that Temporal Drag lengthens quadratically in deeper recursive layers. It is one of three stabilization mechanisms the book gives for forms after they crystallize. An Energy Barrier Height above thermal fluctuations keeps a form bound; the Form Persistence Time grows with depth because deeper layers accumulate more computational complexity and run more slowly; and a decoherence time τ≋ = ħ/(k_B*T⊹ + ħ*Γ⟢⦰) balances quantum energy scales against thermal energy and dephasing. In the limit of infinite recursion depth the book has the persistence time grow without bound. The formal statement is τ𝓜 = τ_0 × (n + 1)², where τ𝓜 is the Form Persistence Time, τ_0 the reference persistence time and n the recursive layer depth index. Dimensions: τ𝓜 [𝕋], τ_0 [𝕋], n [∅]; the book's check is consistent. It connects to Energy Barrier Height, Temporal Drag, Thresholds of Recursion, the Field-to-Form Transition and the Duality Parameter.

Mathematical Expression

From the book · Chapter 7 · Thresholds of Recursion — When the Field Becomes Form

τ𝓜 = τ_0 × (n + 1)² in deeper recursive layers [𝕋]

Where:

  • τ𝓜 [𝕋] - Form Persistence Time (G) enhanced by Temporal Drag in deeper layers
  • τ_0 [𝕋] - reference persistence time
  • n [∅] - recursive layer depth index
  • [∅] - quantities without physical units, pure numerical ratios or mathematical constants

Technical Details

Category Concept

Chapter Chapter 7

Importance

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