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May 21, 20260 citationsOpen Access

ITU Tier 1+ #25: Holographic Information (Kₕolo)

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MTMunehiro Terada

Key Points

  • This research aims to define a new operator-algebraic framework for holographic information and its implications in quantum gravity.
  • Defined K_holo as the operator-algebraic modular Hamiltonian on various quantum spaces.
  • Utilized numerical results to assess the implications of established holographic principles.
  • Evaluated connectivity within top couplings and falsifiable predictions for future research.
  • Establishment of K_holo as inheriting from K_QG with implications on the holographic area law.
  • Identified ten falsifiable predictions with average probability of correctness P_avg=0.66.
  • Provided a detailed roadmap for future theoretical collaborations and analytics in holographic research.

Abstract

Tier 1+ Pass-1. 5 paper 25 of 45. ITU-derived holographic information theory on bulk + boundary + RT + HKLL + QEC. Defines Kₕolo = -log ρₕolo as the operator-algebraic modular Hamiltonian on Hbulk ⊗ Hboundary ⊗ HRT ⊗ HHKLL ⊗ Hcode. Kₕolo inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Ryu-Takayanagi 2006 area law, HaPPY code 2015, FLM 2014 first law, CLPW 2023 type II. Topics covered. Maldacena AdS/CFT, Ryu-Takayanagi 2006, HKLL 2006, HaPPY 2015, FLM 2014, JT gravity Page curve, Susskind ER=EPR. 45-vertex polytope #25 top couplings: #17 KQG (0. 98 ★★), #18 KBH (0. 95), #22 MathPhys (0. 92), #43 Meta (0. 92), #24 Math (0. 90). Ten falsifiable predictions: Pₐvg=0. 66: arXiv 2026 (0. 90 S), Holographic complexity textbook 2027 (0. 75 M). Pass-2 roadmap: ~1. 7M: Holo analytics (600K) + Lean Mathlib (200K) + Theory collab (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

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Cite This Study

Munehiro Terada (2026) studied this question.

synapsesocial.com/papers/6a0ea15cbe05d6e3efb5ff9ahttps://doi.org/10.5281/zenodo.20279704
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