Structural Decoupling and Risk Isomorphism: A Three-Vector Forensic Audit of Carnegie Mellon University's FY2025 Financial Architecture

We present a three-vector institutional risk certification of Carnegie Mellon University's FY2025 audited financial statements (KPMG, October 16, 2025). Vector I applies the LoTT Rigidity Prover (Eden 2025; Awodey–Hua 2026) and finds that all four audit primitives fail: type leakage between non-isomorphic revenue pools produces a $45M–$65M annual volatility tax on the tuition base; a $666.1M monodromy gap exists between callable alternative investment commitments and liquid working capital; 85.1% of the endowment is legally siloed under Pennsylvania Act 141, leaving a deployable safety net of $518.9M against a reported $3.48B; and a duration mismatch between 270-day commercial paper and $242.2M in construction obligations constitutes a substitution coherence failure under stress. Vector II establishes that the Software Engineering Institute is a DoD asset operated by Carnegie Mellon, not a Carnegie Mellon asset funded by DoD, and that DoD Instruction 5000.89 Section 4.b.3 gives the federal government contractual standing to require structural remediation of host institution financial architecture. Vector III identifies three IRS 501(c)(3) compliance stress fractures across four revenue line items totaling $65.8M in quantified obligation differentials: zero unrelated business taxable income disclosed against $165.344M in FFRDC revenue; commercial paper proceeds with no debt-financed income allocation under IRC §514; international location revenue with no educational nexus documentation; and endowment spending released from restrictions without granular donor restriction tracking as required under Reg. §1.501(c)(3)-1(b)(6). The institution's financial architecture fails GAAP transparency standards, federal contractor viability requirements, and IRS operational compliance simultaneously. A public inspection request pursuant to IRC §6104(b) has been transmitted to the Office of the General Counsel. Structural decoupling is mathematically necessary, contractually obligated, and federally auditable.