A Computational Exploration of the Twelve Verses of the Mandukya Upanishad: Integrating Mathematics, Neuroscience, Physics, and Visual Analytics
Description
**Figure Description – Graph Theory Representation of the Mandukya Upanishad** This graph models the philosophical progression presented in the *Mandukya Upanishad* using graph theory. Each node represents a key concept, including **Om**, **Ātman**, the three states of consciousness (Waking, Dream, and Deep Sleep), the Witness, **Turīya**, and the symbolic components of **Om** (A, U, M, and Silence). The edges illustrate conceptual relationships rather than temporal sequences, demonstrating how individual teachings are interconnected within a unified philosophical framework. The graph visually emphasises that the various states of consciousness and the syllables of Om ultimately converge in **Silence**, representing **Turīya**, the non-dual reality that transcends ordinary experience. By representing these concepts as a network, graph theory provides an intuitive visual framework for understanding the interconnectedness, hierarchy, and unity of the teachings of the *Mandukya Upanishad*, making abstract philosophical ideas more accessible for educational and computational analysis.
Files
Steps to reproduce
import networkx as nx import matplotlib.pyplot as plt # Create graph G = nx.Graph() # Add verses verses = { 1: "Om", 2: "Atman", 3: "Waking", 4: "Dream", 5: "Deep Sleep", 6: "Witness", 7: "Turiya", 8: "Om Explained", 9: "A", 10: "U", 11: "M", 12: "Silence" } for node, label in verses.items(): G.add_node(node, label=label) # Add philosophical relationships edges = [ (1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,12), (1,8), (8,9), (9,10), (10,11), (11,12) ] G.add_edges_from(edges) # Draw graph plt.figure(figsize=(10,8)) pos = nx.spring_layout(G, seed=42) labels = nx.get_node_attributes(G, 'label') nx.draw_networkx_nodes(G, pos, node_size=1200) nx.draw_networkx_edges(G, pos, width=2) nx.draw_networkx_labels(G, pos, labels=labels, font_size=9) plt.title("Graph Theory Representation of the Mandukya Upanishad") plt.axis("off") plt.show()
Institutions
- Gyan Vihar UniversityRajasthan, Jaipur
- Parul UniversityGujarat, Vadodara
- Manipur UniversityManipur, Imphal