Pulse Core Lexicon

Floquet Sidebands

Definition

Floquet Sidebands are the spectral peaks that appear on either side of a Zinf-limit system's fundamental frequency, spaced by the Prime Pulse frequency, because the toroidal boundary pulses geometrically. The book lists them among the observable signatures that distinguish boundary-localized Zinf architectures from continuous models. A periodically pulsing boundary modulates its own modes, so each mode frequency acquires sidebands at whole multiples of the modulating frequency. Where Binary Frame Quantization gives the temporal fingerprint of the Zinf framework, the sidebands give the spectral one. Among the Chapter 8.8 predictions, the peaks at ω* ± p × ω⥂ are to be detected through high-resolution spectral analysis of pulsing toroidal boundaries. The formal statement is ω ± p × ω⥂, where ω is the fundamental frequency, p the integer sideband index (p ∈ ℤ) and ω⥂ the Prime Pulse frequency, 2π/T①, with T① the cosmic period. Dimensions: ω and ω⥂ [𝕋⁻¹], p [∅], T① [𝕋]; the book's check is consistent. It connects to Binary Frame Quantization, Fundamental Frequency, Prime Pulse Frequency, Toroidal Boundary and Zinf-Limit Universe.

Mathematical Expression

ω ± p × ω⥂ [rad·s⁻¹]

Technical Details

Category Concept

Chapter Chapter 8

Importance

Related Terms