About the work
The ΩCt volume develops the dynamical tensorial extension of the HDC–CBC framework,
formulating an effective realization of correlational coherence in the gravitational-wave
sector and its observable cosmological impact. Unlike the Ω volume, focused on late-time
activation of the background and scalar perturbations, ΩCt introduces a coherent tensorial
dynamics dependent on the correlational state , preserving general relativity as a local
and early-time limit, while allowing a late-time modulation of gravitational propagation
without altering the electromagnetic structure of the background.
The formalism is based on the quantum–geometric correlational disequilibrium principle
applied to the tensor sector, where effective geometric projection induces a modified
friction term and an effective tensor mass dependent on the dynamical correlational state.
The resulting propagation equation preserves its second-order character and local effective
covariance, but incorporates a damping function and a term that activate
exclusively in the late-time regime, under hierarchical coherence conditions. This activation
does not modify the luminal speed of gravitational waves nor introduce additional degrees
of freedom, maintaining compatibility with constraints imposed by GW170817.
A direct consequence of the framework is the emergence of an effective gravitational
luminosity distance distinct from the electromagnetic one , related through an
exponential factor governed by the cumulative integration of correlational tensorial
dynamics. This deviation arises only at low redshifts and does not affect the acoustic
horizon, recombination, or primordial physics. In this context, the observational
discrepancy in the Hubble parameter can be reinterpreted as a late-time manifestation of
tensorial coherence, without modifying the electromagnetic background history or
introducing additional dark energy components.
ΩCt systematically analyzes the conditions for dynamical stability, absence of ghost
instabilities, and consistency of structure growth under a strictly late-time tensorial
activation. Explicit criteria are established for continuity toward the ΛCDM limit,
preservation of the basal correlational rigidity regime, and coherence between the tensor
sector, background expansion, and multimessenger observables. The framework identifies
regions of correlational space in which the H₀ tension can be redistributed between
gravitational and electromagnetic distances without generating inconsistencies in CMB,
BAO, weak lensing, or standard sirens.
Overall, HDC–CBCₜ / ΩCt constitutes a conservative and operational extension of the
correlational framework, in which the tensor sector acts as a dynamical channel for the late
time realization of the global vacuum equilibrium. The volume establishes the formal basis
for numerical implementation and direct confrontation with multimessenger data,
coherently integrating expansion, gravitational propagation, and observational consistency
within a hierarchical and falsifiable scheme.
The correlational coherence is endowed with a minimal effective dynamics, transforming
Ωcₜ into a closed dynamical framework rather than a purely parametric extension.
94
In its current implementation, ΩCt/N should be understood as a minimal experimental
realization of the correlational closure, based on lite observational validation, structural
proxies, and calibrated effective closures. In particular, the present confrontation does not
yet constitute a full Boltzmann integration or an exhaustive historical reconstruction of
, but rather an operational framework for structural consistency and initial parametric
falsifiability.
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Title HDC-CBC/Ωcₜ Dynamic Synthesis of Correlational Coherence
The ΩCt volume develops the dynamical tensorial extension of the HDC–CBC framework,
formulating an effective realization of correlational coherence in the gravitational-wave
sector and its observable cosmological impact. Unlike the Ω volume, focused on late-time
activation of the background and scalar perturbations, ΩCt introduces a coherent tensorial
dynamics dependent on the correlational state , preserving general relativity as a local
and early-time limit, while allowing a late-time modulation of gravitational propagation
without altering the electromagnetic structure of the background.
The formalism is based on the quantum–geometric correlational disequilibrium principle
applied to the tensor sector, where effective geometric projection induces a modified
friction term and an effective tensor mass dependent on the dynamical correlational state.
The resulting propagation equation preserves its second-order character and local effective
covariance, but incorporates a damping function and a term that activate
exclusively in the late-time regime, under hierarchical coherence conditions. This activation
does not modify the luminal speed of gravitational waves nor introduce additional degrees
of freedom, maintaining compatibility with constraints imposed by GW170817.
A direct consequence of the framework is the emergence of an effective gravitational
luminosity distance distinct from the electromagnetic one , related through an
exponential factor governed by the cumulative integration of correlational tensorial
dynamics. This deviation arises only at low redshifts and does not affect the acoustic
horizon, recombination, or primordial physics. In this context, the observational
discrepancy in the Hubble parameter can be reinterpreted as a late-time manifestation of
tensorial coherence, without modifying the electromagnetic background history or
introducing additional dark energy components.
ΩCt systematically analyzes the conditions for dynamical stability, absence of ghost
instabilities, and consistency of structure growth under a strictly late-time tensorial
activation. Explicit criteria are established for continuity toward the ΛCDM limit,
preservation of the basal correlational rigidity regime, and coherence between the tensor
sector, background expansion, and multimessenger observables. The framework identifies
regions of correlational space in which the H₀ tension can be redistributed between
gravitational and electromagnetic distances without generating inconsistencies in CMB,
BAO, weak lensing, or standard sirens.
Overall, HDC–CBCₜ / ΩCt constitutes a conservative and operational extension of the
correlational framework, in which the tensor sector acts as a dynamical channel for the late
time realization of the global vacuum equilibrium. The volume establishes the formal basis
for numerical implementation and direct confrontation with multimessenger data,
coherently integrating expansion, gravitational propagation, and observational consistency
within a hierarchical and falsifiable scheme.
The correlational coherence is endowed with a minimal effective dynamics, transforming
Ωcₜ into a closed dynamical framework rather than a purely parametric extension.
94
In its current implementation, ΩCt/N should be understood as a minimal experimental
realization of the correlational closure, based on lite observational validation, structural
proxies, and calibrated effective closures. In particular, the present confrontation does not
yet constitute a full Boltzmann integration or an exhaustive historical reconstruction of
, but rather an operational framework for structural consistency and initial parametric
falsifiability.
Work type Technical
Tags obra científica o técnica (no divulgada)
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Registry info in Safe Creative
Identifier 2604035155674
Entry date Apr 3, 2026, 10:44 AM UTC
License Creative Commons Attribution-NonCommercial-ShareAlike 4.0
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Author 100.00 %. Holder Jordi Audet Palau. Date Apr 3, 2026.
Information available at https://www.safecreative.org/work/2604035155674-hdc-cbc-ct-dynamic-synthesis-of-correlational-coherence
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