Abstract Técnico — Módulo Perturbativo HDC-CBC/P (Extensión P de la Hipótesis HDC–CBC)
\nEl presente módulo desarrolla la formulación perturbativa del marco HDC–CBC, completando la estructura teórica establecida en la Extensión Cuántica (Q) y la Extensión Relativista (R). En este esquema, el desequilibrio correlacional entre la energía cuántica de coherencia y la energía geométrica de curvatura no solo origina la dinámica del fondo cosmológico, sino que también modifica de manera suave la interacción gravitacional efectiva en el régimen lineal, generando firmas observacionales directamente contrastables.
\nA partir del Lagrangiano correlacional derivado en la Extensión R, se construye el sector de perturbaciones del campo de coherencia y se obtiene la gravedad efectiva . En el límite cuasiestático y a escalas cosmológicas relevantes, el modelo predice una supresión leve y acumulativa de la gravedad efectiva para , manteniendo exacta la historia de expansión compatible con ΛCDM. Este comportamiento induce un crecimiento estructural reducido, modifica la ecuación de crecimiento de la materia fría y altera de manera controlada los observables lineales del universo tardío.
\nSe derivan de forma explícita las ecuaciones perturbadas de Einstein, la dinámica del campo , el factor de crecimiento , el parámetro y el observable clave . El módulo establece un pipeline matemático completo —incluyendo condiciones iniciales, normalización, cálculo de y el estadístico para datos RSD— que permite implementar el modelo en códigos cosmológicos estándar (e.g. CLASS, hi_class). Se muestra que el marco HDC–CBC predice una reducción sistemática de sin alterar , ofreciendo un mecanismo natural para aliviar la tensión en y mantener simultáneamente la compatibilidad con CMB, BAO y Supernovas.
\nEl módulo concluye presentando las predicciones observacionales más relevantes para Euclid, LSST, DESI y SKA, así como los criterios de falsabilidad que distinguen el escenario correlacional del paradigma ΛCDM. De este modo, HDC-CBC/P proporciona la conexión final entre el fundamento correlacional (Q) y la estructura variacional completa del modelo (R), permitiendo que la hipótesis HDC–CBC sea evaluada rigurosamente mediante datos de perturbaciones y crecimiento de estructura a gran escala.
\nKeywords:
\nHDC–CBC Model, Perturbative Module P, Cosmological Perturbations, Modified Gravity, Effective Gravitational Strength, Growth of Structure, fσ8 Suppression, S8 Tension, Quantum Vacuum Correlation, Correlational Cosmology, Scalar Field Cosmology, K-essence-like Dynamics, µ(a,k) Gravitational Modifier, Linear Perturbation Theory, FLRW Background Consistency.
Research papers are accepted from all former and current members of the group, but also research papers from external researchers including independent researchers are welcome.
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