Emergence of Temporal Order from Finite-Horizon Resolution Mismatch in Horizon Monism

We propose a probability-free mechanism for emergent temporal order within Horizon Monism. The framework begins with a complete, timeless relational totality and embedded finite reference horizons whose effective extractions are non-faithful. Unresolved relations remain present in the totality, so internal equilibration of the visible sector cannot eliminate the horizon’s resolution boundary. We investigate how uneven resolving response can make a static, symmetric relational structure appear more densely connected toward the clearly coupled sector, without changing its underlying connections. In a deterministic weighted-graph realization, we prove that apparent relational degree increases with resolving response under explicit symmetry conditions. Differences of this degree define signed comparisons that satisfy transitivity and exclude directed cycles, yielding an effective temporal order. A static six-vertex model verifies the construction without stochastic evolution, fundamental probabilities, or progressive coarse-graining. We propose this order as a candidate substrate of physical temporal precedence when it is consistently realized in event and record comparisons. The result establishes a conditional mechanism relevant to foundational theoretical physics and relational quantum-gravity research; the emergence of physical clocks, causal dynamics, and shared temporal orientation remains open.