About the work
(SSIP Vol. 4 — Structural Classification of Physically Admissible Correlations)
This volume, HDC–CBC/Ib, constitutes the fourth work of the Supplementary Structural & Interpretative Program (SSIP) within the HDC–CBC framework. Like the preceding SSIP volumes, its aim is not to introduce new physical dynamics, new degrees of freedom, or additional parameters, but rather to deepen the structural analysis of the framework, making explicit its internal conditions of consistency, delimitation, and scope.
The three previous SSIP volumes establish the minimal conceptual core of the program:
• HDC–CBC/I (SSIP Vol. 1) demonstrates the structural ineliminability of the correlational degree of freedom, showing that any attempt to formulate the framework without correlation leads to internal inconsistencies.
• HDC–CBC/CM (SSIP Vol. 2) introduces the Greater Cosmos as a basal state of maximal correlational coherence, non-geometric, non-temporal, and non-projected, which acts as the ontological limiting reference of the model.
• HDC–CBC/ER (SSIP Vol. 3) clarifies the status of geometry as an effective description through the interpretative equivalence ER = ERP (Effective Relational Projection), establishing that every geometric reading is a relational projection and not a fundamental structure.
The present volume, HDC–CBC/Ib (SSIP Vol. 4), is naturally situated as a continuation of this initial triptych. Its purpose is to address a question that emerges directly once the irreducibility of correlation (I), the existence of a non-projected basal state (CM), and the effective character of geometry (ER) have been accepted:
Can all conceivable correlations within the HDC–CBC framework give rise to observable physics, or are there internal criteria that discriminate which ones are physically admissible and which are not?
This work argues that not every mathematically possible correlation is physically realizable. More than that, it shows that the HDC–CBC formalism itself already contains — implicitly — the necessary criteria to establish this distinction, without the need to extend the dynamics of the model or introduce external principles.
In keeping with the SSIP spirit, HDC–CBC/Ib does not modify the correlational variational principle, nor does it alter the observational predictions of the framework. Its function is strictly structural:
to make explicit the criteria of stability, persistence, and projectability that allow the space of correlations to be classified into physically admissible regimes and degenerate or non-projectable configurations.
The analysis is based directly on the correlational variational principle developed in volumes Q and R, and synthesized in Ω, as well as on the distinction between the basal state and emergent regimes established in CM. From this starting point, Ib introduces a structural typology of correlations, showing that only those which:
• admit correlational compensation,
• are stable against perturbations,
• and remain invariant under coarse-graining,
can give rise to emergent regimes with effective geometry, temporality, or locality.
All other correlations — although formally conceivable — do not generate observable physics within the domain of validity of the HDC–CBC framework.
This volume does not aspire to close the program nor to turn HDC–CBC into a “theory of everything.” On the contrary, its contribution is to reinforce the non-totalizing and discriminative character of the framework, showing that HDC–CBC possesses internal conditions of exclusion that prevent its retrospective immunization and preserve its explanatory power.
HDC–CBC/Ib should therefore be read as the structural closure of the first SSIP block of the program, consolidating the step from irreducible correlation (I), the basal state (CM), and effective projection (ER), toward an explicit classification of what is physically possible within the framework.
It is in this spirit that the present work is introduced:
not as a dynamic extension of the model, but as a necessary clarification of its internal architecture.
AI Availability Declaration
AI systems will only be able to access the work with prior agreement
Creativity declaration
AI tools have been used in the following phases and %
|
AI |
Human |
| Concept and vision of the work |
|
| Creative direction |
|
| Production |
|
Print work information
Work information
Title (HDC-CBC/Ib) Structural Classification of Physically Admissible Correlations
(SSIP Vol. 4 — Structural Classification of Physically Admissible Correlations)
This volume, HDC–CBC/Ib, constitutes the fourth work of the Supplementary Structural & Interpretative Program (SSIP) within the HDC–CBC framework. Like the preceding SSIP volumes, its aim is not to introduce new physical dynamics, new degrees of freedom, or additional parameters, but rather to deepen the structural analysis of the framework, making explicit its internal conditions of consistency, delimitation, and scope.
The three previous SSIP volumes establish the minimal conceptual core of the program:
• HDC–CBC/I (SSIP Vol. 1) demonstrates the structural ineliminability of the correlational degree of freedom, showing that any attempt to formulate the framework without correlation leads to internal inconsistencies.
• HDC–CBC/CM (SSIP Vol. 2) introduces the Greater Cosmos as a basal state of maximal correlational coherence, non-geometric, non-temporal, and non-projected, which acts as the ontological limiting reference of the model.
• HDC–CBC/ER (SSIP Vol. 3) clarifies the status of geometry as an effective description through the interpretative equivalence ER = ERP (Effective Relational Projection), establishing that every geometric reading is a relational projection and not a fundamental structure.
The present volume, HDC–CBC/Ib (SSIP Vol. 4), is naturally situated as a continuation of this initial triptych. Its purpose is to address a question that emerges directly once the irreducibility of correlation (I), the existence of a non-projected basal state (CM), and the effective character of geometry (ER) have been accepted:
Can all conceivable correlations within the HDC–CBC framework give rise to observable physics, or are there internal criteria that discriminate which ones are physically admissible and which are not?
This work argues that not every mathematically possible correlation is physically realizable. More than that, it shows that the HDC–CBC formalism itself already contains — implicitly — the necessary criteria to establish this distinction, without the need to extend the dynamics of the model or introduce external principles.
In keeping with the SSIP spirit, HDC–CBC/Ib does not modify the correlational variational principle, nor does it alter the observational predictions of the framework. Its function is strictly structural:
to make explicit the criteria of stability, persistence, and projectability that allow the space of correlations to be classified into physically admissible regimes and degenerate or non-projectable configurations.
The analysis is based directly on the correlational variational principle developed in volumes Q and R, and synthesized in Ω, as well as on the distinction between the basal state and emergent regimes established in CM. From this starting point, Ib introduces a structural typology of correlations, showing that only those which:
• admit correlational compensation,
• are stable against perturbations,
• and remain invariant under coarse-graining,
can give rise to emergent regimes with effective geometry, temporality, or locality.
All other correlations — although formally conceivable — do not generate observable physics within the domain of validity of the HDC–CBC framework.
This volume does not aspire to close the program nor to turn HDC–CBC into a “theory of everything.” On the contrary, its contribution is to reinforce the non-totalizing and discriminative character of the framework, showing that HDC–CBC possesses internal conditions of exclusion that prevent its retrospective immunization and preserve its explanatory power.
HDC–CBC/Ib should therefore be read as the structural closure of the first SSIP block of the program, consolidating the step from irreducible correlation (I), the basal state (CM), and effective projection (ER), toward an explicit classification of what is physically possible within the framework.
It is in this spirit that the present work is introduced:
not as a dynamic extension of the model, but as a necessary clarification of its internal architecture.
Work type Technical
Tags obra científica o técnica (no divulgada)
-------------------------
Registry info in Safe Creative
Identifier 2603205033286
Entry date Mar 20, 2026, 3:31 PM UTC
License Creative Commons Attribution-NonCommercial-ShareAlike 4.0
-------------------------
Copyright registered declarations
Author 100.00 %. Holder Jordi Audet Palau. Date Mar 20, 2026.
Information available at https://www.safecreative.org/work/2603205033286-hdc-cbc-ib-structural-classification-of-physically-admissible-correlations
/
Registration: 2603205033286
