This paper develops a restrained interface-and-downstream consequence within the GOCD sequence by asking what follows once two earlier burdens have already been met: the criterion-level burden of distinguishing temporally relevant crossing from mere order, and the grounding-level burden of showing why internally achieved standing difference already constitutes minimal temporal relevance. It therefore does not reopen the minimal foundations of pre-physical generative theory, nor does it attempt to derive a full theory of thermodynamic irreversibility, metric temporality, or readout-level time. Instead, it begins from four presupposed results: that status-difference among attained, unresolved, and failed outcomes must be internal and processually determinable; that GOCD supplies a local ontological-generative route in which closure and freezing are distinct thresholds within a discrete event ontology of rhythm, phase, and direction; that successful completion yields obtained standing rather than merely descriptive finishedness; and that internally achieved standing difference provides the minimal sufficient basis of temporal relevance (Li and Li 2026a, 2026b, 2026c, 2026e, 2026f). On that basis, the paper argues that freezing should be understood as the local carrier of retained obtained standing. A frozen result is not simply a completed episode but a predecessor that stands within generative history as already obtained. Because such standing excludes same-level re-constitution while still allowing higher-level inheritance, the frozen set is monotonic: what has frozen does not return to the same-level candidate role under the burden it has already answered. This monotonicity is not a statistical tendency or a practical regularity. It is a structural feature of obtained standing itself once minimal temporal relevance has already been secured at the level of standing-difference. The paper then argues that once the frozen set is monotonic in this sense, generative history can no longer be treated as a neutral sequence of earlier and later stages. Later formations may inherit earlier frozen results as already obtained units, whereas those earlier results do not depend on later formations for their same-level standing. The resulting non-reciprocity is sufficient to ground a minimal structural temporal asymmetry. In that restricted downstream generative sense, and only on the basis of the prior criterion and grounding results, the paper argues that one may speak of a structural arrow of time. The paper further clarifies the scope of this claim. What is established is not yet entropy increase, a second law, a statistical irreversibility theorem, or a metric time variable. The result is earlier and more primitive: a generative asymmetry of retained standing that later accounts of temporal directionality may have to respect or inherit if they aim to ground directionality rather than merely posit it. In this way, the paper occupies an intermediate but substantive position within the GOCD program. It is stronger than a general metatheoretical warning against reversibility, yet more restricted than a full physical theory of time. Its central thesis is that the earliest temporally relevant directional asymmetry available within the local GOCD route is grounded in the monotonic retention of frozen results as obtained standing within generative history.
Li et al. (Sat,) studied this question.