What question did this study set out to answer?

This research aims to define and analyze black-hole information through various theoretical frameworks and numerical results.

May 21, 2026Open Access

ITU Tier 1+ #18: Black-Hole Information (KBH)

Key Points

This research aims to define and analyze black-hole information through various theoretical frameworks and numerical results.
Defines K_BH as the modular Hamiltonian across several Hilbert spaces including horizon and interior.
Utilizes the CLPW 2023 type II crossed-product to derive results related to black holes.
Presents numerical results related to key topics including Hawking radiation and the AMPS firewall.
K_BH is defined as -log ρ_BH linked to modular Hamiltonians.
Ten falsifiable predictions made with averages such as P_avg=0.73 for future findings.
Notable upcoming predictions include resolving the information paradox by 2030 with a probability of 0.55.

Abstract

Tier 1+ Pass-1. 5 paper 18 of 45. ITU-derived black-hole information on horizon + interior + radiation + information + singularity. Defines KBH = -log ρBH as the operator-algebraic modular Hamiltonian on Hₕorizon ⊗ Hᵢnterior ⊗ Hᵣadiation ⊗ Hᵢnformation ⊗ Hₛingularity. KBH inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Hawking 1975 radiation; AMPS 2012 firewall; Page curve Penington 2019; islands Almheiri 2019. Topics covered. Hawking 1975, AMPS 2012 firewall, Page 1993 curve, Penington 2019 + Almheiri-Engelhardt-Penington-Wall 2019 islands, EHT 2019/2022 M87 + Sgr A*. 45-vertex polytope #18 top couplings: #17 KQG (0. 95), #25 Holo (0. 92), #11 Cosmo (0. 92), #21 Stat (0. 85). Ten falsifiable predictions: Pₐvg=0. 73: arXiv 2026 (0. 90 S), Information paradox resolved 2030 (0. 55 M), EHT next-gen 2030 (0. 75 M). Pass-2 roadmap: ~1. 7M: BH analytics (600K) + Lean Mathlib (200K) + Theory collab (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

ITU Tier 1+ #18: Black-Hole Information (KBH)

Key Points

Abstract

Cite This Study