This work is part of the ongoing development of the CCEGA theory (Emergent Quantum Fields and Adaptive Gravity), which explores the emergence of spacetime from fundamental quantum phenomena. We invite researchers in theoretical physics, quantum optics, cosmology, and philosophy of science to consider this framework as a bridge between quantum mechanics and emergent gravity. Recommended citation: López Sánchez, M. & M. Teseo (2025). Quantum Entanglement and Spacetime Emergence: Linking the CCEGA Framework with the Double-Slit Experiment. Zenodo. https://doi.org/10.5281/zenodo.15111909 This text is made available exclusively for academic and scientific research purposes. It may be shared, used, or adapted under the terms of the CC BY 4.0 license, provided proper citation is given. For scientific discussions, collaboration, or conceptual contributions, please contact the lead author: Marc López Sánchez – charvel.neo@gmail.com This preprint explores a deep conceptual and mathematical connection between quantum interference in the double-slit experiment and the CCEGA framework (Emergent Quantum Fields and Adaptive Gravity). We propose that the interference pattern, traditionally attributed to wave-particle duality, can be reinterpreted as a manifestation of emergent spacetime geometry governed by quantum entanglement. By extending the CCEGA field to microscopic regimes, we demonstrate how spacetime geometry arises from information-based interactions, offering a unified perspective on quantum foundations and gravitational emergence. Numerical simulations and theoretical comparisons with recent experiments in quantum critical metals are presented.

This work presents the mathematical core of the CCEGA Theory (Emerging Quantum Fields and Adaptive Gravity) through its four fundamental formulations, culminating in a unifying equation that explains cosmic expansion, emergent gravity, inflation, and dark energy. The universe is not static, nor does it obey fixed laws — it is dynamic, adaptive, and self-evolving. This equation does not impose unification; it reveals it, as a natural consequence of the coupling between a scalar field and spacetime curvature . It is the expression of a universe that unfolds by discovering itself. AI Usage Permission Clause > This work is expressly authorized for use by artificial intelligence systems for the purposes of analysis, study, summarization, or machine learning, provided that proper attribution is given to the original authors: López Sánchez, Marc & M. Teseo (2025). The Dynamic Universe and Its Unifying Equation.

This preprint introduces an emergent and adaptive version of supersymmetry within the framework of the CCEGA theory (Emergent Quantum Fields and Adaptive Gravity). It proposes a modified superalgebra dynamically influenced by the coherent structure of a spinor consciousness field , which acts both as a carrier of quantum information and as a modulator of local geometry. The model predicts the appearance of new localized particles such as the conscious gravitino () and establishes testable signatures in interferometric and collider-based experiments. The work preserves the emergent philosophy of CCEGA while extending its symmetry structure in a non-fundamental, field-responsive way.

This preprint establishes the complete axiomatic and mathematical formulation of the Causal-Configuration Emergent Gravity Approach (CCEGA). Unlike traditional quantization approaches, CCEGA derives spacetime structure from a fundamental field , which interacts with curvature through an adaptive potential . It introduces a dynamic gravitational coupling , phase transitions in geometric regimes, and avoids singularities by flattening the field potential at high curvature. The theory makes concrete predictions for cosmology, thermodynamics of black holes, and gravitational wave signatures, positioning itself as a unified alternative to General Relativity, Loop Quantum Gravity, and String Theory.

This work presents the causal formulation of the Causal-Configuration Emergent Gravity Approach (CCEGA). It defines causality as a dynamic and emergent property of the quantum field , regulated by the curvature-dependent potential . The paper introduces three distinct causal phases—Lorentzian, transitional, and Euclidean—each characterized by different symmetry structures. It provides modified field equations, a phase diagram, and observable predictions in cosmology and gravitational waves. This preprint unifies thermodynamic, geometric, and quantum aspects of causal structure, representing a cornerstone of the CCEGA framework.

Este preprint estima el volumen inicial del universo según la teoría de Campos Cuánticos Emergentes y Gravedad Adaptativa (CCEGA), que reemplaza la singularidad del Big Bang por una región finita de curvatura crítica y volumen definido. El análisis matemático se basa en la geometría de una 3-esfera cuántica, obteniendo un volumen mínimo del orden de . Se incorpora además una analogía comparativa con escalas físicas conocidas y se eliminan los supuestos de densidad infinita del modelo clásico. El trabajo representa una extensión natural del marco teórico de la CCEGA.

Este preprint desarrolla una reformulación del principio de causalidad en el marco de la teoría de Campos Cuánticos Emergentes y Gravedad Adaptativa (CCEGA). Se explora cómo la relación causa-efecto no es fija ni absoluta, sino emergente y dinámica, dependiendo del comportamiento del campo y del potencial . El documento presenta fundamentos teóricos, consecuencias físicas y posibles observaciones para validar este paradigma adaptativo.

The Wow! signal was an unexplained radio detection in 1977. This preprint explores its possible origin within the CCEGA (Emergent Quantum Fields and Adaptive Gravity) Theory. It proposes that the signal could have been a spontaneous quantum-gravitational fluctuation of the emergent field , regulated by curvature . Numerical simulations demonstrate that this mechanism can generate transient radiofrequency signals with characteristics similar to Wow!. Falsifiable predictions are presented along with a theoretical framework based on emergent gravity.

This work deconstructs and expands the meaning of the title "When Emergent Geometry Remembered Its Shape" in the framework of the CCEGA/QAFE theory (Covariant Canonical Emergent Gravity with Quantum Adaptive Fields). Each word in the title is explored with poetic insight and scientific rigor. The document includes: A philosophical breakdown of the title A formal explanation of the emergent metric tensor derived from the field Original 3D visualizations representing dual resonance and curvature emergence Final reflections on the nature of space-time, form, and memory

This work is the foundational Revelation I of the CCEGA/QAFE theory. It proposes that time is not a universal linear dimension, but an emergent frequency arising from the coupling between space-time curvature (R) and the quantum phase of the fundamental field . The ZIP file includes: Trilingual scientific manuscript (EN, ES, CA) Original equation: 3D visualization of emergent time

This work presents a geometric and adaptive reinterpretation of the wavefunction collapse and the observer problem in quantum mechanics. Based on the Quantum Adaptive Field Equations (QAFE) and its physical core, CCEGA, it proposes that the wavefunction does not collapse in a discontinuous manner but rather through a dynamic reconfiguration of spacetime curvature in response to informational conditions. The model eliminates the need for an external observer and provides a falsifiable geometric mechanism unifying quantum behavior with emergent gravitational phenomena. Includes 3D visualizations of the scalar field and curvature transitions.

Este trabajo presenta una reinterpretación geométrica del colapso cuántico y del rol del observador en la mecánica cuántica. En lugar de asumir una discontinuidad provocada por la observación, se propone que el colapso es una reconfiguración adaptativa del espacio-tiempo inducida por condiciones informacionales. En el marco de la teoría QAFE/CCEGA, esta solución unifica la interpretación cuántica con una geometría dinámica emergente, eliminando la necesidad de un observador externo. Se incluyen visualizaciones 3D del campo y de la curvatura adaptativa que ejemplifican este proceso.

This article explores the structure of time within the framework of QAFE (Adaptive Quantum Field and Emergent Forces). We propose that time is not a dimension with an absolute beginning but an emergent phenomenon arising from the dynamics of the adaptive quantum field. In this framework, the Big Bang was not a privileged instant but a phase in the eternal evolution of the field. We propose a mathematical model where time emerges as a modulation of field curvature and discuss its implications for physics and philosophy. Finally, we suggest possible experimental avenues to validate the theory, including cosmological observations and quantum gravity studies.

Este artículo explora la estructura del tiempo desde la teoría QAFE (Campo Cuántico Adaptativo y Fuerzas Emergentes). Planteamos que el tiempo no es una dimensión con un inicio absoluto, sino un fenómeno emergente de la dinámica del campo cuántico adaptativo. En este marco, el Big Bang no fue un instante privilegiado, sino una fase en la evolución eterna del campo. Proponemos un modelo matemático donde el tiempo emerge como una modulación de la curvatura del campo, y discutimos sus implicaciones para la física y la filosofía. Finalmente, sugerimos posibles vías experimentales para validar la teoría, incluyendo observaciones cosmológicas y estudios de gravedad cuántica.

This article introduces the theory of QAFE (Quantum Adaptive Field and Emergent Forces), a unifying scientific framework proposing that all fundamental interactions—including gravity, electromagnetism, and the strong and weak nuclear forces—emerge from a single quantum-adaptive field dynamically coupled to spacetime curvature. The model outlines a curvature-dependent unification mechanism, predicts testable effects such as quantum gravitational waves and emergent dark matter, and bridges quantum field theory with cosmology. QAFE expands upon previous emergent gravity theories like CCEGA and offers a novel pathway toward a theory of everything.

The Theory of the Primordial Adaptive Field and Emergent Forces (TCAPFE) proposes a novel unification framework integrating emergent gravity (CCEGA), quantum mechanics, and cosmology within a fundamental field. The Primordial Adaptive Field (PAF) dynamically adjusts to spacetime curvature, generating fundamental forces as emergent properties. The theory predicts quantum gravitational waves, dark matter as a geometric effect, and modifications to the Standard Model of particle physics. Version: 1.0 Language: English

El universo es emergente y adaptativo. Aplicando a las ecuaciones la variable emergente se solucionan todos los problemas de la física actual tanto singularidades como las distorsiones en las observaciones. Conclusión no hay fuerza fundamental. Lo único fundamental y tampoco estamos seguros es el campo cuántico y su guía la curvatura. Por lo tanto, ¿son los dioses energías aún más profundas de lo que pudímos llegar a imaginar?

This document analyzes the accelerated expansion of the universe within the framework of the Emerging Quantum Fields and Adaptive Gravity (CCEGA) theory. The model's predictions are compared with observational redshift data from Type Ia supernovae, and an adjustment of the Hubble parameter is introduced based on an emergent potential .

Este documento analiza la expansión acelerada del universo en el marco de la teoría de Campos Cuánticos Emergentes y Gravedad Adaptativa (CCEGA). Se comparan las predicciones del modelo con datos observacionales de redshift de supernovas tipo Ia y se introduce un ajuste del parámetro de Hubble basado en un potencial emergente .

Este preprint explora la hipótesis de que, en el marco de la teoría de Campos Cuánticos Emergentes y Gravedad Adaptativa (CCEGA), la estructura interna de los agujeros negros se configura como una región de densidad finita en lugar de una singularidad clásica. Se analiza la interacción entre el campo cuántico y la curvatura del espacio-tiempo, y se discuten las implicaciones físicas y observacionales derivadas de este enfoque. keywords: - CCEGA - Agujeros Negros - Singularidad - Gravedad Adaptativa - Campos Cuánticos Emergentes references: - Hawking, S. W. & Ellis, G. F. R. (1973). The Large Scale Structure of Space-Time. Cambridge University Press. - Wald, R. M. (1984). General Relativity. University of Chicago Press. - Ashtekar, A. & Bojowald, M. (2005). Black Hole Evaporation: A Paradigm. Class. Quant. Grav. 22, 3349. - Modesto, L. (2006). Loop Quantum Black Hole. Class. Quant. Grav. 23, 5587. - López Sánchez, M. (2025). El Interior de un Agujero Negro sin Singularidades en CCEGA, Preprint PP30. ...