Sci - Atomic Polarity: Void Geometry, Intrapolarity, and Dynamic Tessellation from the Collapse Tension Substrate

We present the complete Atomic Polarity framework — a five-layer theory of atomic structure and chemical behavior derived from the Collapse Tension Substrate (CTS) of Intent Tensor Theory. The framework inverts the standard ontological order: the negative-space continuum (CTS in S1b) is primary; matter is the curvature distortion that the substrate assembles. Every atom exists as a localized IHCTB cell embedded in this continuum, carrying a void geometry determined by its curvature-shell configuration. The five layers are: (1) the Unified Negative Bond — the pre-geometric CTS substrate as the primary field from which all matter emerges as curvature distortions in an S1b-activated negative-space continuum; (2) the Void Geometry Function Gᵥoid (Z, S;tau) = Topr: rhoₑ, Z, S (r) = tau — the topology of the isodensity boundary generated by the atom's kₓyz curvature-shell field, derived through the chain Z -> Zₑff -> Dₙl -> rhoₑ -> Sigma -> Gᵥoid using Clementi-Raimondi SCF screening constants; (3) Intrapolarity — the kₚol gradient field within the void region Bᵥoid, formally identified as the complement of the Electron Localization Function (ELF), constituting the atom's pre-geometric preference map for bonding; (4) Gross Polarity — the S2 expression of void topology in electron shells, electronegativity, and the octet rule — derived as void closure condition (i (W) = 0) rather than imposed as a separate rule; (5) Intratessellation — the dynamic Morse-cell partition of the void boundary induced by the six-zone IHCTB anisotropy scaffold, with direct formal connection to Bonding Evolution Theory (ELF + Thom catastrophe theory) as its post-veil mathematical expression. The anisotropy potential UZ, S (Omega; tau) is defined on the shell boundary and its Morse-Smale decomposition gives the intratessellation cell structure CZ, S (tau). Three theorem targets are stated: (A) existence of the void shell as a variational minimizer; (B) existence of intratessellation when anisotropy exceeds a critical threshold; (C) topological transitions occur only at anisotropy bifurcation points where det (nabla²Omega U) = 0. Water is the master empirical case demonstrating all five layers: four-lobe ELF topology (two bond basins + two lone pair basins), 104. 5 degree bent geometry from asymmetric Morse-cell compression, and continuous sub-picosecond H-bond rearrangement (tau approximately 0. 78 ps) derived as the Sₛel persistence time of one tessellation configuration before CTS reorganization. Dynamic tessellation is the continuous topological catastrophe sequence of void geometry handshaking — already described by Bonding Evolution Theory at the post-veil level. All predictions are stated with explicit falsification conditions. The framework subsumes VSEPR, the octet rule, and standard bonding theory as post-veil read-outs of pre-geometric void geometry. A computational prototype (Void Topology Engine) implementing Gᵥoid using Slater/Clementi-Raimondi screened densities is provided as a companion file, demonstrating correct atomic radii trends and void fraction patterns across Z=1 to Z=18.