ActOne Studio: A Sovereign Neurosymbolic Engine for Deterministic Screenplay Synthesis, Zero-Width Steganographic Provenance, and Algebraic Permutation Attestation over F_{2^64-59}

We present ActOne Studio, an enterprise-grade sovereign neurosymbolic synthesis engine and cryptographic provenance infrastructure engineered for deterministic multimedia screenplays, zero-allocation reactive Abstract Syntax Tree (AST) parsing, and tamper-evident artifact lineage. Contemporary generative AI screenwriting interfaces suffer from catastrophic context drift, non-deterministic formatting breakdown, vulnerability to script injection payloads, and an absence of cryptographic authorship attestation. ActOne resolves these structural deficiencies through a three-tier architecture: (i) an enterprise Turborepo monorepo encompassing streaming Fountain 1.1 AST parsing, vector RAG indexing, and multi-track audio DSP synthesis, (ii) a dual-channel cryptographic watermark engine embedding zero-width Unicode steganography interlocked with NIST FIPS 180-4 SHA-256 and algebraic zero-knowledge SNARK-friendly permutation polynomials, and (iii) the TMD-Hash v12.0 dual-anchor authentication envelope operating over the Solinas prime field F_{2^64-59} with quartic extension F_{p^4} (256-bit). The platform eliminates dynamic memory allocations in continuous screening passes, enforces fault detection, isolation, and recovery (FDIR) consensus against prompt injections, and guarantees mathematically verifiable provenance across collaborative distributed production pipelines.