About the work
This preprint introduces and develops the emerging curvature equation within the framework of CCEGA (Emergent Quantum Fields and Adaptive Gravity). The equation:
\mathcal{R}(r, \phi) = e^{-r / R_c} (\cos^2 \phi - \sin^2 \phi)
describes an adaptive and dynamic spatial curvature that does not originate from General Relativity or standard modified gravity theories. Instead, it arises from the emergent principles of quantum-adaptive gravity.
Main Objectives
1️⃣ Establish the originality and uniqueness of this equation within the CCEGA framework.
2️⃣ Compare it with previous models in General Relativity, Loop Quantum Gravity, and modified gravity theories.
3️⃣ Explore theoretical and observational applications, including regular black holes, modified gravitational waves, and quantum gravitational lensing.
4️⃣ Analyze its mathematical and physical validity, highlighting its consistency with the emergent energy-momentum tensor .
5️⃣ Discuss potential future observations that could validate the existence of this emergent curvature.
Conclusions
The proposed model suggests that spacetime curvature can dynamically adjust based on the underlying quantum structure. This equation could be key to eliminating gravitational singularities and redefining the internal structure of black holes within CCEGA.
Status and Next Steps
The Emerging Curvature Code has been officially registered in Safe Creative.
The preprint will be published on Zenodo or another scientific platform after finalizing mathematical demonstrations.
Numerical simulations may be included to visualize the effects of emergent curvature in different gravitational scenarios.
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Declaration Date:
Feb 13, 2025, 6:06 AM
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Title The Emerging Curvature Code in CCEGA: A Quantum-Adaptive Framework for Gravit
This preprint introduces and develops the emerging curvature equation within the framework of CCEGA (Emergent Quantum Fields and Adaptive Gravity). The equation:
\mathcal{R}(r, \phi) = e^{-r / R_c} (\cos^2 \phi - \sin^2 \phi)
describes an adaptive and dynamic spatial curvature that does not originate from General Relativity or standard modified gravity theories. Instead, it arises from the emergent principles of quantum-adaptive gravity.
Main Objectives
1️⃣ Establish the originality and uniqueness of this equation within the CCEGA framework.
2️⃣ Compare it with previous models in General Relativity, Loop Quantum Gravity, and modified gravity theories.
3️⃣ Explore theoretical and observational applications, including regular black holes, modified gravitational waves, and quantum gravitational lensing.
4️⃣ Analyze its mathematical and physical validity, highlighting its consistency with the emergent energy-momentum tensor .
5️⃣ Discuss potential future observations that could validate the existence of this emergent curvature.
Conclusions
The proposed model suggests that spacetime curvature can dynamically adjust based on the underlying quantum structure. This equation could be key to eliminating gravitational singularities and redefining the internal structure of black holes within CCEGA.
Status and Next Steps
The Emerging Curvature Code has been officially registered in Safe Creative.
The preprint will be published on Zenodo or another scientific platform after finalizing mathematical demonstrations.
Numerical simulations may be included to visualize the effects of emergent curvature in different gravitational scenarios.
Work type Technical
Tags alternative gravity model, ccega, emergent quantum fields, field equations, quantum field theory, cosmological model, adaptive gravity, black holes, general relativity, quantum fluctuations, unified theory, quantum gravity, theoretical physicist, dark matter, dark energy, adaptive spacetime, quantum fields, deflection of light, accelerated expansion of the universe, theoretical cosmology
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Registry info in Safe Creative
Identifier 2502130862148
Entry date Feb 13, 2025, 6:06 AM UTC
License Creative Commons Attribution-NonCommercial-NoDerivatives 4.0
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Copyright registered declarations
Author 100.00 %. Holder MARC LOPEZ SANCHEZ. Date Feb 13, 2025.
Information available at https://www.safecreative.org/work/2502130862148-the-emerging-curvature-code-in-ccega-a-quantum-adaptive-framework-for-gravit