Pulse Core Lexicon

Computational Impedance

Definition

Computational Impedance is the resistance that recursive substrate layers offer to the propagation of information, lowering the effective speed of light with recursion depth. The book attributes it to computational complexity: deeper layers carry more accumulated processing, and that load slows information passing through them. It is the mechanism behind the Effective Light Speed, the modified causal constraint and the information propagation delays of Chapter 7.4, and so behind Causal Cone Modification and, in ultra-deep layers, Causal Disconnection. Its formal expression is the effective light speed ๐’žโ†’โŠน,n = ๐’žโ†’_0/(n + 1)ยฒ, where ๐’žโ†’โŠน,n is the Effective Light Speed at recursion depth n, ๐’žโ†’_0 the vacuum light speed and n the recursion depth index. Dimensions: ๐’žโ†’โŠน,n [๐•ƒยท๐•‹โปยน], ๐’žโ†’_0 [๐•ƒยท๐•‹โปยน], n [โˆ…]; the book's check is marked valid and verified. The resulting delay over a distance d is ฮ”tโ„น = d(n + 1)ยฒ/๐’žโ†’_0 [๐•‹]. It connects to Effective Light Speed, Causal Cone Modification, Causal Disconnection, Temporal Drag and Computational Load Accumulation.

Mathematical Expression

From the book · Chapter 7 · Temporal Drag and the Recursive Pulse Clock

๐’žโ†’โŠน,n = ๐’žโ†’_0/(n + 1)ยฒ [๐•ƒยท๐•‹โปยน]

Where:

  • ๐’žโ†’โŠน,n [๐•ƒยท๐•‹โปยน] - Effective Light Speed (G) at recursion depth n
  • ๐’žโ†’_0 [๐•ƒยท๐•‹โปยน] - vacuum light speed
  • n [โˆ…] - recursion depth index
  • [โˆ…] - quantities without physical units, pure numerical ratios or mathematical constants

Technical Details

Category Concept

Chapter Chapter 7

Importance

Related Terms