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The study aims to define K_genome as an operator-algebraic modular Hamiltonian and its implications in genomic analytics.

May 21, 2026Open Access

ITU Tier 1+ #30: Genomics (Kgenome)

Key Points

The study aims to define K_genome as an operator-algebraic modular Hamiltonian and its implications in genomic analytics.
Developed K_genome using the operator-algebraic framework on multiple genomic dimensions.
Utilized data from the Human Genome Project, T2T, ENCODE, and AlphaFold for analysis.
Reported numerical predictions and a proposed roadmap for genomic analytics funding.
K_genome demonstrates a new perspective on modular Hamiltonians relevant to evolutionary biology.
Ten falsifiable predictions include advancements in CRISPR for sickle cell disease by 2027.
Funding needs for genomic analytics and collaborations are estimated at ~$1.7M.

Abstract

Tier 1+ Pass-1. 5 paper 30 of 45. ITU-derived genomics on DNA + transcription + chromatin + 3D + evolution. Defines Kgenome = -log ρgenome as the operator-algebraic modular Hamiltonian on HDNA ⊗ Hₜranscription ⊗ Hchromatin ⊗ H₃Dₛtructure ⊗ Hₑvolution. Kgenome inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Human Genome Project 2003, T2T 2022 complete telomere-to-telomere, ENCODE, AlphaFold 3 2024. 5 protein-DNA. Topics covered. HGP 2003, T2T 2022, ENCODE 2012, GTEx, AlphaFold 3 2024. 5 Nature, ancient DNA Reich Lab, CRISPR Casgevy 2023. 12. 8 FDA first. 45-vertex polytope #30 top couplings: #16 KQG (0. 85), #5 Cancer (0. 92), #29 Dev (0. 92), #25 Holo (0. 85). Ten falsifiable predictions: Pₐvg=0. 68: arXiv 2026 (0. 90 S), CRISPR sickle cell + beta thalassemia standard 2027 (0. 85 S), AlphaFold 4 2026 (0. 75 M). Pass-2 roadmap: ~1. 7M: Genome analytics (600K) + Lean Mathlib (200K) + Sequencing collab (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

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