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Executive Summary
This paper proposes that coherence operates as a universal grammar linking mathematics, biology, cosmology, and ethics.
- Triplets as primal structure: From Satva–Rajas–Tamas in Indian thought to DNA codons and Spin(8) triality, triads anchor coherence.
- Ninefold barcode of primes: Primes distribute unevenly in residue classes mod 9, creating six active slots and three absences (3, 6, 9). This pattern resonates with the enneagram, vortex mathematics, and biological/cultural cycles.
- Absence as causal: Following Deacon, absences (synaptic gaps, fascia, dark energy, non-associativity in octonions) are shown to be necessary for coherence.
- Physiology and cosmology as mirrors: DNA triplets, protein nine-band resonances, neural rhythms, gestation cycles, galactic spirals, and cosmic harmonics all echo the same grammar.
- Euler’s identity as Rosetta Stone: Growth (), polarity (), cycles (), unity (1), and absence (0) are compressed into a single equation — a symbolic seed crystal.
- From numbers to values: McMurtry’s life-value onto-axiology gains structural grounding. Coherence itself is value, and ethics emerges as the practice of sustaining it across scales.
- The holofractal human: The same triplet-of-triplets governs inner life (curiosity, reflection, habit), relationships (empathy, dialogue, trust), society (innovation, governance, law), and ecosystems (extraction, stewardship, conservation).
- Toward regenerative coherence: Practical metrics (barcode integrity, triadic balance, residual freedom) can guide medicine, institutions, and economies toward resilience and flourishing.
Conclusion: The universe is not a machine but a music of coherence. To live regeneratively is to participate in this music — sustaining balance, honoring absences, and resonating across scales