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#diffusion models Open access

Illustrated Atlas. From Triangle to Form. Bailey & UMF.

Oct 2026 · Zenodo (CERN European Organization for Nuclear Research)
Indian and Buddhist Studies

Abstract

This 76-page illustrated atlas explores relational organisation and the emergence of form across Indian subtle-body traditions, theosophy, Alice A. Bailey’s esoteric cosmology, and the Universal Model Framework (UMF). Combining 22 illustrations with annotated diagrams and comparison tables, it examines chakras, nāḍīs, Śiva–Śakti, Fohat, the seven rays and planes, the human constitution, and the etheric body as an organising matrix within Bailey’s teaching. Primary-source references distinguish historical concepts, their later reinterpretations, and proposed mathematical correspondences. The central comparison relates selected organisational functions to the UMF roles of potential, distinction, relation, self-valuation, and selection. Mathematical sections distinguish triangular graph cycles from filled simplices, define persistence under specified dynamics and perturbations, and formulate a prospective test of the Triangular-Closure Conjecture using explicit candidates, costs, and controls. Controlled graph comparisons illustrate the limits of attributing diffusion advantages to triangular motifs. Finite carrier and coframe constructions are reviewed alongside unresolved requirements for physical interpretation, continuum convergence, and empirical validation. A dedicated six-page chapter reconstructs Bailey’s account of healing through rapport, inner alignment, radiatory and magnetic methods, concentration, and withdrawal. This material is presented as a historical reading of esoteric teaching, with distinctions between documented passages and editorial synthesis. Throughout, the atlas separates symbolic interpretation, exact mathematical results, and open research hypotheses. It offers a visual resource for comparative philosophy and the development of testable questions about organisation, persistence, and form, while preserving the evidential boundaries of each domain.

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