Holographic Gravity

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Generalized Holographic Principle (GHP)

 

The Generalized Holographic Principle (GHP) extends the classical holographic principle, which asserts that all information within a bulk region of spacetime can be encoded on its boundary. While the AdS/CFT correspondence has provided robust validation of holography in specific spacetimes, the Scaling Entropy-Area Thermodynamics (SEAT) framework proposes a universal formulation that transcends AdS/CFT.


The SEAT framework demonstrates that entropy does not scale with volume but rather with the surface area of a system, whether it be black holes, gravitational systems, or the universe itself. This reformulation allows us to interpret spacetime, gravity, entropy, and quantum mechanics as emergent properties of entangled informational structures encoded on lower-dimensional boundary surfaces.


By integrating SEAT into the Generalized Holographic Principle, we unveil a Holographic Gravity model in which spacetime curvature and gravitational dynamics arise from quantum entanglement patterns. This perspective is not merely a theoretical abstraction—it is empirically reinforced by recent advances in gravitational pair production, which demonstrate that quantum informational encoding can manifest as physical effects without the necessity of event horizons.

The Bekenstein-Hawking entropy originally formulated for black holes states that entropy is proportional to the event horizon area, not the volume of the black hole. This insight was extended by Maldacena’s AdS/CFT correspondence, where a d-dimensional bulk gravitational system can be fully described by a (d-1)-dimensional boundary field theory.


The Ryu-Takayanagi conjecture further linked quantum entanglement entropy with spacetime geometry, showing that spacetime structure is deeply rooted in quantum information. However, these formulations are limited to highly symmetric spacetimes, primarily AdS backgrounds.

The Generalized Holographic Principle (GHP) extends holography beyond AdS, asserting that:


1.    All physical processes within spacetime are encoded as entangled quantum informational degrees of freedom on boundary surfaces.


2.    Spacetime curvature and gravity emerge from the quantum dynamics of this information.


3.    Entropy evolution in all gravitational systems follows the entropy-area relation, demonstrating that the “holographic” encoding is universal.

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The Holographic Gravity (HG) framework, derived from GHP and SEAT, suggests that gravity is not a fundamental force but an emergent phenomenon. Unlike traditional models where mass and energy dictate spacetime curvature, HG proposes that gravity arises from the structured entanglement of information at boundary surfaces​

Key implications of this approach:


•    Black holes emit information through entangled Hawking radiation rather than losing it, resolving the information paradox.
    


•    Gravitational effects result from entropy gradients, where changes in entropy influence how spacetime bends and evolves.
    


•   Massive objects impose entropic order on spacetime, guiding the motion of matter through information-driven entropic gradients

 

The SEAT framework provides the mathematical foundation for the Generalized Holographic Principle by introducing new entropy formulations, where entropy dynamically evolves as a function of time, temperature, surface gravity, and quantum information.

Conclusion: A New Paradigm for Gravity and Information


The Generalized Holographic Principle (GHP), combined with Scaling Entropy-Area Thermodynamics (SEAT), offers a unified framework for understanding gravity, spacetime, and entropy as emergent phenomena from quantum information structures.


•    Gravity emerges from quantum entanglement, encoded on boundary surfaces.


•    Entropy dynamically evolves, governing gravitational behavior.


•    Holographic encoding is a universal principle applicable beyond AdS.


This holographic informational perspective reshapes our understanding of spacetime, gravity, and entropy, leading to a new foundation for quantum gravity.