Pulse Core Lexicon

Binary Frame Quantization

Definition

Binary Frame Quantization is the rule that every physical event happens at an integer multiple of the Pulse Rhythm, so that time advances in discrete frames with no continuous-time in-between. The book lists it among the diagnostics and observable signatures of the Zinf-limit framework. Where Floquet Sidebands mark the spectral imprint of geometric pulsation, Binary Frame Quantization encodes the strict temporal lattice on which causal events sit: all events align to discrete frame boundaries, which eliminates continuous-time artifacts. The same half-cycle time quantum sets the scaling of the smallest recursive architectures, for example the fundamental frequency f* = 1/(N⥥ × κ_z × ①⥂⧖). Formally, all events occur at t = n × ①⥂⧖, with n ∈ ℤ, where t is the event time [𝕋], n the integer frame index [∅], ℤ the set of integers [∅] and ①⥂⧖ the half-cycle time quantum, the Pulse Rhythm [𝕋]. The book's check reads [𝕋] = [∅] × [𝕋] = [𝕋]. It connects to Pulse Rhythm Definition, Local Rhythm Quantum, Floquet Sidebands, Zinf Limit and Local Planck Time.

Mathematical Expression

From the book · Chapter 8 · The Zinf-Limit Toroidal Universe

Binary_frame_quantization: All events at t = n × ①⥂⧖ [𝕋]

Where:

  • t [𝕋] - event time
  • n [∅] - integer frame index (n ∈ ℤ)
  • ①⥂⧖ [𝕋] - half-cycle time quantum (Pulse Rhythm)
  • ℤ [∅] - integer set

Technical Details

Category Concept

Chapter Chapter 8

Importance

Related Terms