We present HDC–CBC/Ic, the fifth volume of the Supplementary Structural & Interpretative Program (SSIP) within the HDC–CBC framework. This work introduces no new physical dynamics, no new degrees of freedom, and no additional parameters. Its objective is to establish the structural status of the Correlational Index once correlational coherence, treated in Ω as an effective constant magnitude, is promoted in Ωc\u209c to the historical realization .
\nThe starting point of the analysis is the central correlational condition of the framework,
\n\n
interpreted not as a local equation of motion, but as the structural condition regulating coherence between the basal quantum domain and the projected geometric regime. We show that, once the minimal promotion
\n\n
is admitted, the architecture of the model requires an explicit, dimensionless, and controlled parametrization of the historical correlational state. That parametrization is the Correlational Index,
\n\n
which must not be understood as a free fitting parameter, but as the minimal historical form under which the irreducible correlational sector can be described without being artificially reabsorbed into the static hypothesis of Ω.
\nBuilding on the results of HDC–CBC/I and HDC–CBC/Ib, we argue that must be interpreted as an index of historical admissibility. In this reading, the index does not freely parametrize an undifferentiated space of possible histories, but rather organizes access to a domain severely restricted by three cumulative criteria: projective compensation, structural stability, and persistence under coarse-graining. Not every mathematically definable history of is physically realizable; only a subclass can sustain projectable regimes and, within it, only a part also proves operationally executable.
\nOn this basis, we distinguish between:
\n\n
the space of mathematically definable histories of the index,
\n\n
the historically admissible domain,
\nand
\nthe executable domain under the minimal validation environment of ΩCt/N. The pipeline is thus reinterpreted not as a fitting engine that grants physical meaning to the index from observational success, but as an operational environment that explores what part of the historically admissible domain can be deployed without breakdown under a criterion of structural consistency plus minimal observational compatibility. In this logic, the so-called operational window of does not constitute the origin of the meaning of the index, but its minimal proof of executability.
\nThe work further establishes a stricter methodological protocol for reading runs. The Planck-like, ICCUB-like, and SH0ES-like regions must not be treated as primary physical inputs of the analysis, but as derived observational basins assigned only after the calculation of , the checklist, and the GLOBAL state of the run. In analogous fashion, the references break-(BAO) and break+(WL) are interpreted not as arbitrary labels, but as operational frontiers of the executable domain of the index.
\nThe main result of HDC–CBC/Ic is therefore a structural reinterpretation of the Correlational Index: neither eliminable, nor freely adjustable, nor ontologically autonomous, but rather the minimal index of historical admissibility and executable domain of correlational coherence within the HDC–CBC/Ωc\u209c framework. In doing so, the volume completes the logical step linking irreducibility, admissibility, historical promotion, and operational falsifiability, thereby making explicit the place of within the general HDC–CBC program.
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All types of scholarly material are welcome: preprints, papers, presentations, data, simulations, commentaries, reviews, videos, or conference proceedings, as long as they relate to the core theme of non-standard cosmology and astrophysics.
Who can contribute?
This community is open to independent researchers, interdisciplinary thinkers, and academic scientists alike. We value intellectual curiosity, open inquiry, and respectful dialogue across backgrounds and disciplines.
Open Science, Open Review
In the spirit of open science, no moderation or gatekeeping is applied to submissions, unless if they seem to fall outside the scope of this community. For all submissions, community commenting, open peer review, and critical discussion are encouraged to promote transparency, collaboration, and constructive engagement.
This community brings together research that explores and challenges the assumptions, theories, and interpretations of standard cosmology and astrophysics.
\nWe welcome all contributions that lie outside or question the mainstream paradigms, including alternative cosmological models, alternative solar models, reinterpretations of astrophysical data, and critical examinations of foundational concepts such as the cosmic microwave background, redshift, galactic rotation curves, general relativity, and more. If your work addresses what doesn’t quite “fit” in the standard models, whether theoretically, observationally, or methodologically, it belongs here.
\nOrigin
This community was initiated following DemystiCon 2025: Beyond the Big Bang, a conference on non-standard cosmology and astrophysics organized by DemystifySci and held in June 2025 in Sesimbra, Portugal. The first contribution is the Book of Abstracts from this event, and we warmly invite others working in related areas to share their research here.
Let this be a space for bold ideas, careful questioning, and fresh perspectives on the cosmos.
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