Stripping Scripts to Their Bones: Topological Invariants as the Load-Bearing Core of Writing Systems

Writing systems accumulate stylistic drift over centuries. What begins as a minimal set of stroke-based distinctions — sufficient to encode a phonetic or semantic inventory — acquires decorative elaboration, calligraphic convention, and cultural ornamentation that progressively detaches the visible glyph from its original load-bearing function. This paper proposes that every writing system contains a set of topological invariants: the minimum stroke connectivity, relative spatial positioning, and phonetic or semantic mapping rules that are necessary and sufficient to distinguish all graphemes in the system from one another. Everything else is allographic drift — stylistic variation that carries no discriminative load. Identifying and formalising these invariants has three practical consequences: it reduces translation loss across historical script variants, it lowers the access barrier for people with visual processing differences, and it provides machine-readable script primitives that do not require retraining for every historical variant of a writing system. This is not a new descriptive task in the graphematics tradition; it is a generative engineering proposal: strip the script to its topological skeleton, and build forward from that skeleton rather than backward from the accumulated drift.