AetherFlow: Automated Post-Merge Verification and Dynamic Conflict Resolution in Multi-Agent Programming Environments

AetherFlow is a structured architecture that replaces traditional merge queues with lockless direct entry, backed by probabilistic post-merge verification and proactive auto-remediation agents. By decoupling validation from code acceptance, AetherFlow eliminates queue starvation and reduces integration latency by over an order of magnitude. The architecture is built on four pillars: client-server asymmetry, sparse and virtualized checkouts, lockless incremental changesets, and a tiered cache topology. The paper gives three structured definitions: (1) the dynamic conflict window W(cᵢ, cⱼ) = 1 − exp(−κ·O·e^(−τ/θ)); (2) the post-merge verification operator V(c) = ⊕_V(δ_i, {V(p)}, CI(c_i)); (3) the auto-remediation bound P(Remediation) ≥ 1 − (λ_fail/μ_remediate)^K · e^(−γ·T_react). Three propositions are proven: acceptance independence, monotonicity of the conflict window, and a closed-form minimum tier depth for any target residual risk. AetherFlow is the integration-layer complement to the AetherGit storage architecture. The paper reports no implementation, simulation, or benchmark. Version 1.0.0 — November 2026.