Universal Fluid Method (UFM) v1.0 - Deterministic Bitstream Replay

UFM is a deterministic ledger that records primitive reuse over a partitioned input, allowing exact reconstruction of the original bitstream. It defines core concepts like partitioning (λ) and equivalence (≡) to achieve this.

Details

UFM is a deterministic ledger defined by three core components: the input bitstream (X), a deterministic partitioning of X (λ), and an equivalence relation over the partitioned units (≡). The partitioning (λ) divides X into a set of unique units (u1, u2, ..., un) such that their union equals X and they are non-overlapping. The equivalence relation (≡) then defines whether two units are considered equal (1) or not (0). Together, (λ, ≡) capture the structure of the input bitstream. The core UFM data structures are the Primitive Store (P), which holds the unique units, and the Timeline (T), which records the sequence of primitive IDs. The append-only, immutable nature of these structures allows exact reconstruction of the original input via the Replay (R) operation. UFM does not perform any additional processing like compression, optimization, or semantic interpretation - it simply records the primitive reuse defined by (λ, ≡). This approach differs from mainstream hash-based or probabilistic systems, as UFM operates on the premise that structure is discovered rather than assumed. It is intended as a foundational substrate upon which other AI/ML systems may build, but it cannot be redefined by those higher-level applications.