applications

Module INFO-002 aims to derive Shannon channel capacity from the Recognition Science ledger. Classically, capacity is $C = \max_{p(x)} I(X;Y)$ bits per use (Gaussian form $\tfrac12\log_2(1+S/N)$). In RS, that rate is identified with the ledger's fundamental bandwidth: how fast the ledger can record and transmit information.

A discrete memoryless channel here carries finite input/output alphabets and a row-stochastic transition kernel. Sibling material in the module builds mutual information, nonnegativity and symmetry, the capacity functional, and a Shannon-style reliability statement, plus a ledger-side capacity construction.

The nearby falsification note (not part of this def) lists defeaters: transmission faster than $C$, a ledger with no bandwidth limit, or a fundamental rate not fixed by $\tau_0$. Parallel application lists appear for the Landauer bound and the Zeno effect.

No proof. The declaration is a four-element List String literal naming engineering and biological settings where the capacity bound is meant to apply. It mirrors the same documentation pattern used for Landauer and Zeno application catalogs elsewhere in the monolith.

Gives a human-facing map from the INFO-002 capacity story (ledger bandwidth as Shannon $C$) onto concrete systems: wireless links, quantum channels, fiber, and neural codes. Downstream references are mostly structural (other modules' application lists and unrelated certificates pull the name); the scientific parent is the channel-capacity development in this module, not a forcing-chain step.

It does not advance T5–T8, the Recognition Composition Law, or the mass ladder. Its role is documentation and cross-linking: where ledger-limited $C$ should matter if the derivation holds, and what experimental arenas would pressure the claim if rates exceed that bound.