This paper develops the thesis that biological emergence is geometrically admissible before it is chemically expressed. Within the Panspatial Genesis framework, life is not treated as an accidental late product of molecular complexity alone, but as the adaptive expression of a deeper closure architecture. The central claim is that life becomes possible when coherence concentration generates a geometry capable of torsion, chirality, boundary formation, and gradient preservation. This geometry is identified as Finsler Coherence Hyperfractal Phase (FCHP) geometry, the structured geometry induced by coherence gradients, directional concentration, torsional flow, chiral asymmetry, and emergent boundary closure. The paper argues that FCHP is not an arbitrary geometric supplement added to ordinary space. Rather, FCHP is derived from coherence concentration itself. As coherence moves from distributed continuum toward localized closure, gradients produce curvature, anisotropic flow produces directionality, twisting flow produces torsion, stabilized torsion produces chirality, and stabilized concentration produces boundary. This generative sequence allows FCHP to serve as the geometry of biological admissibility: the geometry in which coherence can become chiral, bounded, gradientpreserving, and ultimately life-capable. The infratier sequence is then interpreted as the dimensional reduction pathway through which this admissibility becomes structured. The 3.14D coherence-curvature equilibrium is treated as a pre-generator gateway rather than a generator algebra. At the 3.0 threshold, stable spatial orientation and cyclic phase closure co-emerge as SO(3) ⊕ U(1). At the 2.85 infratier, SU(2) expresses torsional, chiral, spinorial-bivector relation. At the 2.70 infratier, SU(3) expresses confinement, boundary completion, and chemical projectability. Together these form a fifteen-generator lifeadmissibility stack:U(1) ⊕ SO(3) ⊕ SU(2) ⊕ SU(3), 1 + 3 + 3 + 8 = 15. The paper further proposes that SU(4) should not be read as a fourth force gauge parallel to U(1), SU(2), and SU(3), but as the higher coherence envelope of this fifteen-generator domain. SU(4) supplies the algebraic horizon, while the decomposed 1 + 3 + 3 + 8 stack preserves the functional distinctions required for life: phase, space, chirality, boundary, confinement, and gradient regulation. Atomic Continuum Ontology (ACO) is identified as the decisive transition regime in which continuum geometry becomes capable of atomic embodiment. Life is therefore chemically expressed, but geometrically admitted. Keywords FCHP geometry; Panspatial Genesis; infratier reduction; biological emergence; life-admissibility; closure ontology; coherence concentration; Atomic Continuum Ontology; torsion; chirality; boundary; gradient retention; SO(3); U(1); SU(2); SU(3); SU(4); closure mathematics; coherence reversal.
Philip Lilien (Thu,) studied this question.