Holographic Thermodynamic Computing

 Can spacetime geometry make computation cheaper? The Ryu–Takayanagi formula compresses exp(c) degrees of freedom into O(c) geometric parameters. This book shows that this compression has concrete thermodynamic consequences: exponential encoding advantages for cooling and state representation, near-unity Maxwell demon efficiency, and erasure costs that dip below the classical Landauer bound.

 Four core results (N1–N4) are proved from the AdS/CFT correspondence and unified within a single resource-theoretic framework, where the RT surface area serves as a geometric resource monotone controlling cooling costs, work extraction, erasure bounds, and computational complexity simultaneously.

 Part I (Classical Demons) sets the stage with Maxwell's demon and the century-long debate connecting thermodynamics, information, and computation. Part II (Information, Quantum Mechanics, and Gravity) builds the modern toolkit: information theory, quantum information, quantum thermodynamics, and black-hole physics leading to the holographic principle. Part III (The DEMON Framework) develops a rigorous demon hierarchy and category-theoretic unification. Part IV (Holographic Foundations and Core Results) proves three core results: the Holographic Cooling Bound, Holographic Maxwell's Demon, and Quantum-Corrected Landauer Principle. Part V (Unification and Architecture) proves Tensor Network Equivalence (N4), unifies all four results, and analyses energy budgets. Part VI (Validation and Outlook) provides experimental protocols, numerical validation, and future directions.

 Five appendices provide self-contained reviews of mathematical prerequisites, differential geometry, conformal field theory, tensor network algorithms, and solutions to all 96 exercises.

Publisher - Ars Demonstrandi

Language - English

Perfect Bound

Contributors

By author

Rolando Pablo Hong Enriquez

Published Date - 2026-10-31

ISBN - 9781066611225

Dimensions - 25.4 x 17.8 x 2.2 cm

Page Count - 299