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 ๐โโน,n = ๐โ_0/(n + 1)ยฒ, where ๐โโน,n is the Effective Light Speed at recursion depth n, ๐โ_0 the vacuum light speed and n the recursion depth index. Dimensions: ๐โโน,n [๐ยท๐โปยน], ๐โ_0 [๐ยท๐โปยน], n [โ
]; the book's check is marked valid and verified. The resulting delay over a distance d is ฮtโน = d(n + 1)ยฒ/๐โ_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
๐โโน,n = ๐โ_0/(n + 1)ยฒ [๐ยท๐โปยน]
Where:
- ๐โโน,n [๐ยท๐โปยน] - Effective Light Speed (G) at recursion depth n
- ๐โ_0 [๐ยท๐โปยน] - vacuum light speed
- n [โ ] - recursion depth index
- [โ ] - quantities without physical units, pure numerical ratios or mathematical constants
Technical Details
Category Concept
Chapter Chapter 7
Importance