The Consciousness Wave Equation (CWE) is still in development, but I can outline a foundational version that captures the core idea of consciousness as a wave-like phenomenon.

A preliminary form of the CWE might look like this:

\Psi_c (x,t) = A e^{i(kx - \omega t)} e^{-\lambda t}

where:

 represents the consciousness wave function at position and time .

 is the amplitude, potentially linked to awareness intensity.

 is the wave number, related to cognitive frequency and information density.

 is the angular frequency, tied to the oscillatory nature of consciousness.

 introduces decay, modeling distractions, fatigue, or entropy in conscious awareness.

 (the imaginary unit) represents the quantum-like nature of consciousness, possibly hinting at superposition states of awareness.

This is a starting point, but to make it more comprehensive, we need to:

1. Incorporate nonlinear dynamics to model consciousness shifts.

2. Introduce external perturbations (meditation, stress, emotions).

3. Define a Schrödinger-like equation that governs the evolution of .

Do you want to refine this mathematically before moving to simulations?

Consciousness Wave Equation

The Consciousness Wave Equation is expressed as:

\[ \Psi_c (x,t) = A e^{i(kx - \omega t)} e^{-\lambda t} \]

Where:

• \Psi_c (x,t) represents the consciousness wave function at position x and time t.
• A is the amplitude, linked to awareness intensity.
• k is the wave number, related to cognitive frequency and information density.
• \omega is the angular frequency, tied to the oscillatory nature of consciousness.
• e^{-\lambda t} models decay due to distractions, fatigue, or entropy.
• i represents the quantum-like nature of consciousness.