Pulse Core Lexicon
Pulse Amplitude Decay
Definition
Pulse Amplitude Decay is the exponential weakening of binary oscillation strength as the substrate approaches an event horizon, the book's description of how active physical computation fades toward apparent suspension around a null well while the data continues through it.
In the book's computational event horizon, the horizon is not an escape boundary but an interface where Pulse amplitude falls away. The decay length is tied to Pulse Diameter scaling, λ = PD · Gℜ(n), where Gℜ(n) is a recursive depth enhancement function, so the horizon's thickness in computational terms depends on the recursion level. The book lists event horizon interface dynamics showing this exponential decay among its black hole thermodynamics predictions, alongside quantized masses M_n = n·M_P and holographic encoding densities on the null well boundary.
The book writes the decay as A(r,τ) = A₀ · (1 − exp(−(r − r_s)/λ)), zero at the horizon and rising to A₀ over the decay length, where A(r,τ) is the Pulse amplitude at radius r and proper time τ, A₀ the amplitude in the active substrate far outside the horizon (r − r_s ≫ λ), r_s the Schwarzschild radius and λ the decay length.
Pulse Amplitude Decay connects to Computational Threshold, Computational Transition Gates, Schwarzschild Radius, Pulse Diameter, Information Flow Rate and Null Well.
Mathematical Expression
From the book · Chapter 6 · The Computational Event Horizon and Boundary Information Flow
A(r,τ) = A₀ · (1 - exp(-(r-r_s)/λ)) [∅]
Where:
- A(r,τ) [∅] - Pulse amplitude at radius r and proper time τ
- r [𝕃] - radial coordinate
- τ [𝕋] - proper time coordinate
- A₀ [∅] - Pulse amplitude in the active substrate region, far outside the horizon (r − r_s ≫ λ)
- exp [∅] - exponential function
- r_s [𝕃] - Schwarzschild radius
- λ [𝕃] - decay length
- PD [𝕃] - Pulse Diameter
- Gℜ(n) [𝕃·𝕋⁻¹] - recursive depth enhancement function
- n [∅] - recursive depth level
Technical Details
Category Concept
Chapter Chapter 6
Importance