Dark Night of the Soul - Logarithmic Decline
Description
Abstract: This dataset endeavours to explore and encapsulate the profound theme of the "dark night of the soul," as evoked by the speaker's reference to "dark, misty, big" eyes, suggesting an allegory to this concept. Coined by St. John of the Cross, the "dark night of the soul" symbolises a period of spiritual introspection and purification, characterised by an intense sense of emptiness and yearning for divine connection. The dataset adopts a mathematical framework, employing the concept of a Logarithmic Decline to illuminate and comprehend this spiritual phenomenon. The model, Darkness(t) = A / log(bt + 1), represents the depth of the dark night experience at a specific time 't'. Within this model, 'A' denotes the initial depth of spiritual darkness experienced, while the parameter 'b' modulates the rate of decline towards this depth and eventual stabilisation. By intertwining literary allegory with mathematical abstraction, this dataset seeks to capture the nuanced journey of the dark night of the soul. It endeavours to illustrate the gradual decline in spiritual well-being akin to a descent into darkness and emptiness. Furthermore, it highlights the asymptotic nature of this decline, signifying a turning point or spiritual awakening that emerges beyond the depths of this experience. This interdisciplinary approach invites scholarly exploration and analysis across various fields, offering insights into the intricacies of spiritual transformation and the profound landscapes of the human soul during periods of inner searching and spiritual purification.
Files
Steps to reproduce
import numpy as np import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D # Define the logarithmic function representing the depth of the dark night experience def darkness_experience(t, A, b): return A / np.log(b * t + 1) # Generating time values from 1 to 10 (to avoid log(0)) time_values = np.linspace(1, 10, 100)[:, None] # Adjust the range and number of points as needed # Generating A and b values for meshgrid A_values = np.linspace(2, 8, 100) # Varying initial depth of darkness (A) b_values = np.linspace(0.1, 1, 100) # Varying rate of decline (b) # Create meshgrid for A and b values A, b = np.meshgrid(A_values, b_values) # Calculate the depth of dark night experience at each A, b, time value darkness_values = darkness_experience(time_values, A[..., None], b[..., None]) # Plotting the 3D graph fig = plt.figure(figsize=(10, 8)) ax = fig.add_subplot(111, projection='3d') ax.plot_surface(A, b, darkness_values.squeeze(), cmap='viridis') ax.set_title('3D Visualization of Dark Night of the Soul') ax.set_xlabel('Initial Depth of Darkness (A)') ax.set_ylabel('Rate of Decline (b)') ax.set_zlabel('Depth of Darkness Experience') plt.show()