HDC-CBC/I Structural Indirect Inference I of the Hypothesis of Correlational Disequilibrium and the Correlated Bubble-Cosmos

Author’s Preface — Volume HDC–CBC/I This work does not introduce a new cosmological framework, nor does it postulate additional physical entities. It does not propose a direct modification of general relativity, nor does it aim to establish any form of empirical detection. The objective of HDC–CBC/I is strictly epistemological: to evaluate the status of a correlational degree of freedom already introduced within the HDC–CBC framework, and to determine to what extent such a degree of freedom can be eliminated without loss of physical, conceptual, or observational coherence. The correlation analyzed here is not presented as a direct observable nor as an independent ontological entity. Its status is examined exclusively through indirect inference, employing standard consistency criteria commonly used in theoretical physics: variational closure, observational coherence, tensorial falsifiability, and quantum–geometric consistency. This volume inaugurates the SSIP (Supplementary Structural & Interpretative Program) collection within the HDC–CBC framework. The works included in SSIP do not introduce new physical dynamics, new parameters, or additional degrees of freedom. Their function is to complement the theoretical core of the hypothesis through structural analyses, interpretative clarifications, comparative evaluations, and the delimitation of conceptual scope and limits. This work presupposes the prior existence of the HDC–CBC framework, as developed in the foundational modules α (ontological framework) and Ω (correlational condition). Consequently, HDC–CBC/I should not be read as a foundational text, but rather as a second-level evaluation aimed at clarifying the role, necessity, and limits of the correlational sector within an already defined framework. Throughout the article, four conceptually independent paths of indirect inference are explored. None of them presupposes the validity of the others, and none is intended to establish a definitive proof. The emphasis lies on structural convergence among results obtained in distinct physical domains, rather than on the isolated strength of any single argument. The reader will not find strong ontological claims or premature empirical assertions here. Instead, they will find a deliberately conservative analysis whose purpose is to address a precise and limited question: Can the correlational degree of freedom be eliminated from the HDC–CBC framework without destroying its physical coherence? The remainder of the work is organized as a progressive response to this question.