Solid tumors frequently exhibit heterogeneous responses to therapy, immune infiltration, oxygenation, perfusion, metabolism, and heat transfer. These features are usually analyzed as separate biological or physical phenomena. This work develops a boundary-transfer observability framework in which a hidden tumor-domain transfer state is inferred from multiple imperfect projections, including transcriptomic coupling, immune and stromal physiology, internal source activity, genome-structural variables, and ultimately thermal transfer. The central hypothesis is not that all tumors are cold, or that tumor isolation implies a universal cold phenotype. The central hypothesis is that tumor domains with reduced cross-boundary physiological transfer should exhibit thermal decoupling. The direction of the observed temperature anomaly depends on internal source activity: low-source domains may appear cold or thermally inert, whereas high-source domains may appear warm or thermally unstable if heat generation persists while external exchange is suppressed. A transcriptome-derived coordinate, κ = (Cρ)/(H + ϵ), is evaluated in breast invasive carcinoma, lung adenocarcinoma, colon adenocarcinoma, and kidney renal clear cell carcinoma using The Cancer Genome Atlas expression data, PanImmune signature scores, mutation-load data, purity and ploidy estimates, and clinical annotations. Three levels of analysis are explicitly separated: cellular stabilized states, bulk transcriptomic regime structure, and tumor-domain physiological transfer. The complete multiscale generative mechanism connecting these levels is outside the scope of this manuscript. The empirical focus is narrower: to determine whether the transcriptomic projection κi carries non-random information about boundary-transfer regimes after aggressive circularity controls. A leak-proof pipeline was implemented using outcome-gene exclusion, cross-fitting, variance-rank-matched random-gene nulls, and residualization against source activity, tumor purity, tumor mutation burden, age, and immune-effector content. The results show that the current RNA projection is not universally observable. Breast invasive carcinoma exhibits a coherent RNA-visible transition, colon adenocarcinoma exhibits a residual-emergent signal after nuisance subtraction, lung adenocarcinoma exhibits stromal and inflammatory occlusion, and kidney renal clear cell carcinoma exhibits conditional entanglement and probable projection mismatch. These findings motivate dynamic rim-versus-bulk thermal transfer, rather than static whole-tumor temperature, as the appropriate physical validation endpoint.