Semalgebra: A Computable Framework for Semantic Transformations – Complete Body and Machine-Transferable Kernel

This document presents Semalgebra, a computable tensor-based framework for modeling semantic transformations. The work provides: Part I – Complete Body: Full axiomatic foundation (27 axioms), theorems, operators, and geometric formalism for semantic spaces with variable curvature (Euclidean, pseudoparabolic, pseudohyperbolic). Includes operational measures (Δ, τ, κ), Semantic Moment of Inertia (SMI), and 18+ autonomous semantic entity sets across scientific and humanistic domains. Part II – Transmission Kernel (STK v1.0): Machine-transferable specification enabling any AI runtime to reproduce semalgebraic computations. Includes wire-level protocols, serialization formats (YAML/JSON), conformance tests, and ethical safety guards. The framework enables: computable analysis of meaning transformations, cross-linguistic transfer via LYSIAN (zero-curvature language), education protocols for AI systems, and applications spanning epistemology, ethics, narrative analysis, and computational linguistics. Version: 7 November 2025. Reference edition for archival and transmission purposes.