Density-Dependent Planck Time

Density-Dependent Planck Time is the fundamental time unit as modified by the collapse density of the Null Well that seeds a universe, so that the fundamental constants themselves are set per universe through the recursive substrate. It builds a temporal hierarchy across universes: higher collapse density gives a shorter Pulse Tempo and a faster child, lower collapse density a longer one and a slower child, while within a universe the Planck time stays fixed rather than drifting with recursion depth n. The book maps it directly onto observable harmonic frequencies, so that computational complexity shows up as quadratic frequency scaling in measurable spectra through temporal quantization; that mapping uses the harmonic frequency f_n [𝕋⁻¹], the fundamental frequency ν_0 [𝕋⁻¹], the pulse density function P(n) [∅], the harmonic index n [∅] and the Local Pulse Tempo ①⥂⧗⌂ (the local Planck time) [𝕋]. The book states it as ①⥂⧗'⌂ = ①⥂⧗⌂ · fρ(ρ⦰) [𝕋], the Local Pulse Tempo ①⥂⧗⌂ scaled by the density scaling function fρ(ρ) = (ρ_P/ρ⦰)^(1/2), where ρ⦰ is the energy density at Null Well formation and ρ_P the Planck density. It connects to Pulse Density, Temporal Drag, Modified Fundamental Constants, Harmonic Complexity Scaling and Mode Density Function.