Pulse Core Lexicon

Physical Signal Cessation

Definition

Physical Signal Cessation is the condition that the outward physical signal rate is zero at the computational horizon: ↁℹ̇⟹(r▣,⧖) = 0. The data channel stays open inward: every bit returns through the Nullcore. At the horizon the pulse-state gradient reaches its most negative value, ∂①○/∂r at r▣ equal to -①○⨶/λ▣ (the Causal Influence Boundary), and beyond it no physical signal gets out. Causal influence ends because recursive demand has exhausted the substrate, not because of a gravitational field. What ceases is the physical rate, the data seen at the Tempo; the data itself flows on, through the well and the rupture, round the Data Loop, and the former name, Data Information Flow Cessation, was replaced for that reason. ↁℹ̇⟹(r▣,⧖) = 0, where ↁℹ̇⟹ is the outward physical signal rate at the computational horizon [1ᵇ·𝕋⁻¹], r▣ the computational horizon radius [𝕃], ⧖ the Time Crystal reference [𝕋], ①○⨶ the minimum sustainable activity [∅] and λ▣ the decay length [𝕃]. It connects to Critical Horizon Radius, Causal Influence Boundary, Causal Disconnection, Computational Horizon Storage Capacity and The Data Loop.

Mathematical Expression

From the book · Chapter 2 · Event Horizons and Null Wells

ↁℹ̇⟹(r▣,⧖) = 0

Dimensional analysis:
Where (from the book): ∂①○/∂r [𝕃⁻¹], r [𝕃]
[𝕋⁻¹·1ᵇ]
[∅]
[𝕋⁻¹·1ᵇ] = [∅] ✓ Valid PulseCore Verified ✓

Data information transmission rate equals zero at computational horizon

Where:

  • ∂①○/∂r [𝕃⁻¹] – Pulse computational state gradient with respect to radius
  • ①○ [∅] – Pulse computational state
  • r [𝕃] – radial coordinate from computational center
  • r▣ [𝕃] – Computational horizon radius; critical boundary for processing cessation
  • ①○⨶ [∅] – Minimum sustainable Pulse computational activity; the activity at the horizon radius, since exp(-r▣/λ▣) = ①○⨶/①○₀
  • λ▣ [𝕃] – Computational decay length; characteristic distance for processing degradation
  • ↁℹ̇⟹(r▣,⧖) [1ᵇ·𝕋⁻¹] – outward physical signal rate at the computational horizon; the data channel stays open inward: every bit returns through the Nullcore
  • ⧖ [𝕋] – Time Crystal temporal reference
  • | [∅] – Evaluation operator at specific radius
  • ∅ [∅] – Null state; zero computational activity

Technical Details

Category Manuscript

Chapter Chapter 2

Importance

Related Terms