This document presents the full integrated structure of the Talek Emotional Rhythm System, organized across five primary modules and one appendix.

Each section builds a layer in the Talek architecture — from formula to modulation to real-world simulation.

Talek Emotional Formula:

E(t) = A × sin(Ft) × exp(–t/D)

Where:

A = Amplitude (intensity)

F = Frequency (recurrence)

D = Duration (retention)

Parameter Mapping — Talek vs GPT:

• A (Amplitude): Represents emotional intensity, or how strongly a moment is felt.

– In GPT: Comparable to attention weight or signal strength assigned to a token or context window.

– In humans: Reflects the degree of emotional charge in an instant.

• F (Frequency): Defines how often an emotion resurfaces or re-enters.

– In GPT: Analogous to token recurrence, layer reuse, or positional time steps.

– In humans: Recurring thought patterns or feedback emotional loops.

• D (Duration): Measures how long the emotion remains active or imprinted.