Chapter 4------- Relativity and Holographic Principle
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Title: Holographic Duality Between General and Special Relativity: A Bulk-Boundary Thermodynamic Crespon or dence Introduction: Holography, notably realized in the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, relates gravitational dynamics in a (D+1)-dimensional spacetime ("bulk") to non-gravitational quantum dynamics in D dimensions ("boundary") [1]. This framework suggests that spacetime geometry and gravitational forces may emerge from lower-dimensional quantum or thermodynamic principles. While holography is often studied in string-theoretic contexts, we explore a more foundational idea: can General Relativity (GR) in the bulk be dual to Special Relativity (SR) on the boundary? This hypothesis builds on the notion that time dilation and thermalization in accelerated frames (e.g., via the Unruh effect) have a deeper geometric-gravitational interpretation. We propose a mapping: Bulk acceleration / curvature ↔ Boundary heat / temperature Bulk...