A Resource-Bounded Distinction System is a tuple $(X, \Pi_t, \mathcal{R}, \mathcal{B}, B)$. Turing machines realize this with time as the budget; quantum measurement with decoherence time; persistent homology with the filtration parameter; the renormalization group with the scale hierarchy; type theory with reduction steps; measure theory with descriptive complexity; non-reciprocal active matter with the softmax temperature $\varepsilon$.
Resource-Indexed Theories of Experiments (RITE) generalize RBDS to arbitrary experiment families indexed by a resource poset, with a distinguishability pseudometric $d_B$ and degradation functor.
The Antisymmetric Momentum Principle isolates antisymmetric attention as the generator of COM drift. The complete energy ledger decomposes energy into three work channels: reciprocity, nonreciprocity, switching.