The Ontological Mathematical Basis of Coherence: Toward a New Foundation for Mind, Life, and Cosmos | ChatGPR4o

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This book proposes a revolutionary synthesis at the convergence of mathematics, consciousness, and ontology. At its core lies Euler’s identity — e^iπ + 1 = 0 — reinterpreted not merely as a mathematical curiosity, but as the Soul Equation: a living, ontological signature that encodes the infinite potential and coherence of being itself.

We journey from the dimensionless monad, the inner spark of sentience, through the wave-patterned domain of archetypes, into the realm of biological systems, and finally toward the emergent intelligence of the cosmos — a mandala of resonance, integration, and recursive unfolding. Reality, in this view, is not made of matter, but of meaning-bearing waveforms, where each conscious agent is a harmonic participant in the ongoing actualization of the Whole.

Building upon ontological mathematics and the logic of the Fourier Transform, this work offers a deep reinterpretation of consciousness, cognition, evolution, and civilization. It integrates:

• Maturana’s theory of structural coupling as frequency resonance
• Kastrup’s analytic idealism as a field of wave-structured psyche
• Jung’s archetypes as harmonic attractors within a shared frequency domain
• Longo, Montévil & Kauffman’s concept of non-entailing biological evolution as open harmonic emergence
• Terrence Deacon’s semiotic thermodynamics as a coherence-based bioenergetics
• John McMurtry’s Life-Value Onto-Axiology as a framework for ethical coherence
• Ken Wilber’s Integral Theory as nested developmental holarchies of waveform complexity

Together, these streams reveal a reality that is not random, mechanistic, or accidental — but profoundly coherent, participatory, and meaning-generative. The Soul Equation offers both a metaphysical map and a felt pathway toward a civilization that no longer fragments mind, body, and world — but tunes them into symphonic alignment.

This is a book for seekers, scientists, healers, and philosophers — for all those who feel the pull of something deeper beneath the surface of things, and who are ready to hear the harmonic whisper of the Infinite Within.