The Triadic Oncology Ledger: Integrating Metabolic Flux, Informational Disorder, and Mechanical Remodeling as Coupled Drivers of Breast Cancer Progression and Therapy Resistance

The Triadic Oncology Ledger: Integrating Metabolic Flux, Informational Disorder, and Mechanical Remodeling as Coupled Drivers of Breast Cancer Progression and Therapy Resistance is Paper 1 of the Triadic Oncology Ledger series. This preprint introduces a three-domain open-system framework for organizing breast cancer progression and therapy resistance across coupled metabolic, informational and mechanical processes. Breast cancer is increasingly understood as a heterogeneous, adaptive disease shaped by interactions across tumor cells, immune cells, stromal architecture, extracellular matrix remodeling and therapeutic pressure. Although metabolic reprogramming, molecular heterogeneity, immune evasion and mechanical remodeling are each well studied, they are often analyzed as partially separate mechanisms. This paper proposes the Triadic Oncology Ledger as a minimal integrative structure for interpreting these processes as coupled domains of tumor-environment exchange. The framework organizes breast cancer behavior across three interacting flux domains: metabolic-energy flux, Φ∞; informational disorder, Ψ∞; and mechanical-boundary interaction, Π∞. Φ∞ represents nutrient acquisition, glycolytic reprogramming, lactate export and hypoxic adaptation. Ψ∞ represents transcriptional heterogeneity, signaling entropy, phenotypic plasticity and immune checkpoint dynamics. Π∞ represents extracellular matrix remodeling, mechanotransduction signaling, stromal architecture and physical barrier formation. These terms are introduced as an organizing framework rather than as direct thermodynamic measurements in this first paper. The paper grounds each domain in existing cancer biology. Φ∞ is linked to aerobic glycolysis, lactate accumulation, hypoxic signaling and metabolic effects on immune suppression. Ψ∞ is grounded in signaling entropy and single-cell transcriptomic measures of differentiation potency, plasticity and molecular disorder. Π∞ is connected to extracellular matrix remodeling, YAP/TAZ mechanotransduction, mechano-epigenetic regulation, stromal stiffness and physical exclusion of immune cells. A central claim of the paper is that aggressive tumor behavior emerges not from isolated pathways but from coupling among all three domains. Metabolic stress can alter immune signaling; mechanical forces can reshape transcriptional and epigenetic state; informational disorder can support metabolic flexibility and immune escape. The paper frames therapy resistance as a return to a malignant attractor state through compensatory flux in untargeted domains, explaining why single-domain interventions may fail even when they suppress a valid biological target. The paper also introduces the conceptual basis for a Triadic Malignancy Score, including multiplicative and additive formulations to be operationalized in later papers. The multiplicative form is presented as the stronger expression of triad-dominance because it requires simultaneous elevation of Φ∞, Ψ∞ and Π∞ rather than allowing one high domain to compensate for another low domain. The framework is applied conceptually to solid-tumor cellular therapy, especially CAR-T and CAR-NK limitations in solid tumors. The paper interprets poor cellular therapy penetration as the combined result of metabolic suppression, immune/informational evasion and mechanical exclusion. In this view, solid tumor resistance reflects simultaneous barriers across Φ∞, Ψ∞ and Π∞, supporting the need for multi-domain intervention strategies rather than single-barrier approaches. This manuscript provides the conceptual scaffold for the Triadic Oncology Ledger series. Paper 2 operationalizes the three domains mathematically and computationally using transcriptomic data, while later papers extend the framework into empirical tumor-state mapping and cross-cancer analysis.