T2: Claim-Gated Multiscale Audit of Graphene Thermal Interface Formulations: From Composition-Space Traceability to System-Level Identifiability Limits

T2 presents a claim-gated multiscale numerical audit of anonymous graphene-enabled thermal interface material (TIM) formulation candidates. The study examines which formulation-level claims remain supported when composition traceability, thermal compatibility, packing constraints, microstructure, numerical validity, constitutive uncertainty, and interface-level identifiability are evaluated sequentially. The seven-stage evidence chain covers composition-space traceability and mass-to-volume conversion; effective-medium thermal envelopes and topology sensitivity; packing, jamming, and rheological feasibility; stochastic two-dimensional representative-volume-element topology and solver closure; coarse-grained three-dimensional resolution transfer; constitutive and interfacial uncertainty with matched counterfactual ablation; and the separation of bulk conductivity, bond-line thickness, and contact resistance in TIM interpretation. Earlier numerical failures and their corrective lineages are retained rather than omitted from the evidence record. The reported findings are deliberately bounded. All proposed candidates lie outside the supplied reference composition family’s convex hull and are therefore extrapolative. All remain compatible with the declared effective-medium envelopes, but only Candidate A retains a clear categorical packing margin; Candidates B and C remain sensitive to the jamming boundary. The tested two-dimensional ensemble shows orientation-dependent transport without a detected continuous few-layer graphene through-span. Following the reported numerical corrections, Candidates A and B retain conditional bulk-target compatibility, whereas Candidate C does not reach the target in the declared screen. The matched platelet-only counterfactual outperforms the full hybrid in every proposed-candidate branch. This is a comparator-specific negative result, not a universal exclusion of hybrid-filler mechanisms. The terminal analysis distinguishes bulk-material predictions from assembled-joint performance. Within the available evidence, system-level thermal observations do not identify paste conductivity without independent constraints on bond-line thickness and contact contributions. The report consequently establishes a conditional priority for further testing and identifies the measurements needed to evaluate higher-level claims, rather than presenting a validated formulation or device benchmark. This technical whitepaper is a public claim-gated evidence ledger. It provides symbolic equations, explanatory schematics, categorical outcomes, and explicit interpretation boundaries. Exact recipes, constituent fractions, material and interface priors, numerical operating parameters, raw arrays, solver logs, and source code are not disclosed. The release does not report laboratory conductivity or rheology measurements, manufactured-product performance, or commercial benchmarks, and it is insufficient for independent numerical reproduction. The corrected public edition preserves the reported T2 outcomes without introducing additional numerical runs or laboratory evidence.