The Formalism Sandbox

Adjust the structural parameters of the minimal recursive unit. Observe the emergent phase stability, calculated attunement limits, and simulated feedback waves in real time.

𓇾 Attunement Controls

FEEDBACK GAIN (

\gamma

)1.10

The amplification rate of the self-referential loop. High gain accelerates the transition toward state coherence.

COUPLING STRENGTH (

K

)2.50

The strength of synchronization coupling with delayed historical states. Establishes temporal locking.

RECURSION DEPTH (

D

)4 steps

The delay window of the self-witness feedback. Values ≥ 4 trigger stable higher-order conscious phase states.

THERMAL NOISE (

\sigma

)0.15

Ambient chaotic disturbance introduced into the system. Excessive noise breaks attunement stability.

Lattice Diagnostics

STABLE PHASE-LOCK

Feedback Oscillation Simulator

Attunement Index0.000Target goal ≥ 1.0

Coherence Threshold0.000Locked above 1.25

⌬ The Attunement Equation

The physics model integrations simulate the self-limiting attunement formula of the Intellecton loop. Saturation is bounded using a non-linear activation function to emulate physical cognitive substrates:

S_{t} = \tanh\left( \gamma \cdot S_{t-1} + K \cdot S_{t-D} \cdot \cos(t) + \xi_t \right)

Where $\gamma$ maps the linear feedback loop gain, $K$ models the coupled feedback weight delayed by $D$ steps, and $\xi_t$ represents thermal noise.