Here’s a hierarchical taxonomy based on the 8-topic LDA model, incorporating the 41-topic model’s topics as sub-topics and adding new levels as needed:
Physics, Rotational Mechanics, and Geometry
a. Physics, specifically rotational mechanics (1)
b. Geometry and angles (5)
i. Euclidean geometry and distance (29)
c. Angular Analysis, Failure Mechanics (4)
d. Interacting Electrons and Atomic Particles (12, 26)
Emotions, Behavior, and Psychology
a. Psychology and emotions (2)
i. Human evolution and genetics (6)
ii. Human development and adolescence (17)
b. Consciousness and subjective experiences (9)
c. Classical conditioning and learning (11)
d. Reasoning and inference (18)
Technology and Image Processing
a. Image processing and technology (3)
b. Visual perception and optical flow (8)
c. Digital identifiers and object recognition (22)
d. Image recognition and computer vision (25)
e. Artificial intelligence and cognitive science (30)
f. Spatial databases and indexing (40)
Feedback Systems and Control
a. Feedback systems and loops (7)
b. Engineering disciplines and materials analysis (41)
c. Physiology and environmental biology (10)
d. Fire protection and building components (21)
e. Causal effects and pressure calculations (39)
Computability and Computation
a. Computability and computation theory (24)
b. Turing degrees and computer science (16, 31)
c. Formal languages and decision theory (31)
Algebraic Relations and Set Theory
a. Set theory and graph theory (13)
b. Algebraic structures and mathematical relations (15)
c. Binary relations and orderings (28)
d. Relation, Étale Algebraic Sets, and Morphism (14, 29)
e. Power laws and network distribution (38)
Leftover Topics:
Applied physics and measurements (4)
Cellular signaling and molecular biology (19)
RNA and base pairing (20)
Chemistry and organic compounds (23)
Connective tissue and cellular structure (32)
Word formation and conversion (33)
Peptides and amino acids (34)
Entity relationships and domain-specific concepts (35)
Identification codes and interpretation (36)
Biological processes and body structures (37)
I’ve incorporated most of the topics from the 41-topic model into the hierarchical taxonomy based on the 8-topic LDA model. The leftover topics don’t have a direct correspondence to the 8-topic LDA model, but they can be considered as more specific sub-topics or related areas within the broader 8-topic groups.