Controlled Irreversibility, Temporal Order, and the Time-Branch of the L(6+7) Framework

Controlled irreversibility is formulated here as the dedicated time-branch of the L(6+7) framework. The paper does not claim literal macroscopic time reversal, nor that monitored-quantum experiments already prove the full L(6+7) program. Its narrower and stronger claim is that controlled irreversibility can be read as the first operational probe of an internal entropy-flow sector already present in the theory. The manuscript separates axiomatic postulates, derived structural statements, bridge-level claims, conjectural extensions, and explicit testable signatures. Temporal directionality is treated as an emergent ordering regime in a weighted space of admissible histories. The monitored-quantum results of García-Pintos, Liu, and Gorshkov serve as the operational anchor, while the broader L(6+7) corpus provides the variational, cosmological, and microscopic backbone.