D10Z-TTA Computational Structural Core (v1.0): Formal Mathematical Framework for Coherence-Based Nodal Coordination

This record discloses the formal mathematical and computational foundation of the D10Z-TTA (Topological Tensional Architecture) framework: a structure-first coordination model for complex distributed systems. The framework defines a discrete nodal space Z={Zn}Z=\{Z_n\}Z={Zn}, a bounded structural coherence metric Φ:Z→[0,1]\Phi:Z\rightarrow[0,1]Φ:Z→[0,1], a structural fluctuation functional FnF_nFn, and a contract-governed evolution operator: dZndτ=G(Φ(Zn),Fn,N(Zn))\frac{dZ_n}{d\tau} = G(\Phi(Z_n), F_n, N(Z_n))dτdZn=G(Φ(Zn),Fn,N(Zn)) All quantities operate strictly in the mathematical-computational domain. No physical interpretation, natural constants, or ontological claims are asserted. Core contributions disclosed: Formal axiomatization (Sahana Law, Isis Law, Update Operator Contract). Conservation and coherence emergence rules with falsifiable validation protocols. Finite-state and SMT-verifiable transition contracts. AutoNoLoss structural preservation guarantees. Human-AI sovereignty enforcement (hard-coded veto constraint). Antifragile adaptive thresholds for reconfiguration. Empirical system-level validation is provided (energy, compression, latency, synchronization, performance density), measured with reproducible computational benchmarks and autonomous verification artifacts (published procedures + checksums), without reference to physical constants or laws. This publication establishes a prior-art disclosure for coherence-based nodal coordination architectures, symbolic constructs, invariants, and governance contracts, and is part of a continuous research lineage documented by earlier Zenodo DOIs listed in Section 15 of the specification. Domain: computational structures and coordinationNot: physics, hardware description, or physical theory https://www.linkedin.com/in/jamil-al-thani-177b436/