This white paper presents a constraint architecture analysis of the 2026 Strait of Hormuz crisis, examining why the most comprehensive destruction of an adversary's conventional military capabilities since the 1991 Gulf War has failed to reopen the world's most critical energy chokepoint. Operation Epic Fury, launched February 28, 2026, struck 5,500+ targets across Iran, destroyed 60+ naval vessels, eliminated the Supreme Leader and 40+ senior officials, and reduced Iranian ballistic missile launch capacity by 92%. The Pentagon declared Iran's navy "combat ineffective." The Strait of Hormuz remains closed. This paper maps why. The analysis identifies five constraint surfaces that independently and collectively prevent the restoration of commercial transit: (1) a mine countermeasures vacuum created by the premature decommissioning of purpose-built minesweepers six weeks before the war and their replacement with untested modular systems a decade behind schedule; (2) a missile magazine depletion dynamic where defending against Iranian drone swarms costs 14:1 to 114:1 more than the attacks themselves, with no at-sea reload capability; (3) a multi-domain threat overlay requiring simultaneous control of subsurface mines, surface swarms, and air/ballistic missiles across the same 2-mile corridor; (4) geographic lock where the Strait's physical dimensions and proximity to Iranian territory permanently favor the defender; and (5) an insurance and market confidence lag where the Lloyd's Joint War Committee Listed Area designation — in place since 2019 and never removed — means the economic blockade persists for months to years after any military solution. A sixth surface — the bypass infrastructure deficit — demonstrates that global pipeline alternatives can move only 4.0 million barrels per day against a pre-war Hormuz throughput of 20 million, creating a structural deficit of 16 million barrels per day that strategic petroleum reserves can cover for approximately 28 days. Crude grade mismatch between SPR composition and Asian refinery requirements further reduces effective coverage. The paper introduces the concept of the "spreadsheet blockade" — the finding that approximately twelve confirmed mines achieved effective economic closure of the Strait not through physical saturation but through insurance market withdrawal, demonstrating that the mine threat operates through financial risk rather than explosive damage. Key findings include: HELIOS hard-kill directed energy (capable of breaking the cost-exchange ratio) is deployed on USS Preble in Japan, not in the CENTCOM theater; allied nations possess dedicated mine countermeasures vessels but zero have been ordered to deploy; the Omani Inshore Traffic Zone is physically navigable by VLCCs (200m+ depth vs. 25m draft) but Oman has not granted access; and new Supreme Leader Mojtaba Khamenei exercises centralized command over the blockade with maximum strategic incentive to maintain it. All claims are independently verified through targeted fact-checking across multiple research tools. The initial HELIOS deployment claim was identified as false through verification and corrected prior to publication. Mine clearance rates were corrected from single-tier to three-tier (sweep/minehunt/contested) based on Desert Storm precedent data. The 400-600 mine threshold was identified as a likely conflation with Black Sea estimates and replaced with empirically grounded analysis. 106 references with URLs provided. This is a diagnostic constraint analysis. It does not propose solutions, predict outcomes, or recommend courses of action. It maps the structural reality within which any solution must operate. Methodology: Systematic constraint synthesis identifying coupled dependencies across military, economic, geographic, diplomatic, and industrial domains. Related publications: Clustered Extrusion Capacity Architecture (CECA): Constraint-Based Analysis of U.S. 155mm Artillery Ammunition Production Capacity (DOI: 10.5281/zenodo.17747008) China's 2027 Convergence: Constraint Non-Admissibility and Miscalculation Risk (DOI: 10.5281/zenodo.17621565) Constraint Layer Research LLC Portfolio (DOI: 10.5281/zenodo.17578545) Methodology (DOI: 10.5281/zenodo.17461018)