Casimir Resonance Visualization
Mythic Preface#
"Two plates whisper across the void, and the vacuum sings back."#
This notebook simulates the Casimir effect using triadic field overlays.#
We explore how vacuum pressure emerges from nested dimensional resonance.#
Imports and Setup#
import numpy as np import matplotlib.pyplot as plt from ipywidgets import interact, FloatSlider
Casimir Force Function (Triadic Interpretation)#
def casimir_force(d, A=1.0, hbar=1.0545718e-34, c=3e8): classical = - (np.pi ** 2 * hbar * c) / (240 * d ** 4) triadic = classical * np.sin(np.pi / d) return classical, triadic
Interactive Plot#
def plot_force(d): classical, triadic = casimir_force(d) plt.figure(figsize=(8,5)) plt.bar(['Classical', 'Triadic'], [classical, triadic], color=['gray', 'purple']) plt.title(f'Casimir Force at d = {d:.2e} m') plt.ylabel('Force (N)') plt.grid(True) plt.show()
interact(plot_force, d=FloatSlider(min=1e-9, max=1e-7, step=1e-9, value=5e-9))
Field Visualization#
x = np.linspace(-1, 1, 400) y = np.linspace(-1, 1, 400) X, Y = np.meshgrid(x, y) Z = np.sin(np.pi * X) * np.sin(np.pi * Y)
plt.figure(figsize=(6,6)) plt.contourf(X, Y, Z, cmap='plasma') plt.title('Triadic Field Between Plates') plt.axis('equal') plt.colorbar(label='Field Intensity') plt.show()