What question did this study set out to answer?

This research aims to define the K_neuro metric and explore its implications in neuroscience using various historical and modern examples.

May 21, 2026Open Access

ITU Tier 1+ #28: Neuroscience (Kₙeuro)

Key Points

This research aims to define the K_neuro metric and explore its implications in neuroscience using various historical and modern examples.
Developed K_neuro as a modular Hamiltonian for neuron, synapse, circuit, network, and behavior interactions.
Employed numerical analysis based on historical frameworks like Hodgkin-Huxley and recent projects like Neuralink and BRAIN Initiative.
Generated falsifiable predictions with a focus on neuro analytics and collaborations for future advancements.
Identified key couplings in neuroscience between various domains with high correlation values (e.g., 0.95 for K_lang).
Achieved a prediction average (P_avg) of 0.68 for upcoming research and commercial endeavors.
Outlined a $1.7M roadmap for advancing neuro analytics and collaborative initiatives by 2026.

Abstract

Tier 1+ Pass-1. 5 paper 28 of 45. ITU-derived neuroscience on neuron + synapse + circuit + network + behavior. Defines Kₙeuro = -log ρₙeuro as the operator-algebraic modular Hamiltonian on Hₙeuron ⊗ Hₛynapse ⊗ Hcircuit ⊗ Hₙetwork ⊗ Hbehavior. Kₙeuro inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Hodgkin-Huxley 1952, connectome C. elegans 1986 + Drosophila 2024 FlyWire, BRAIN Initiative 2013, Neuralink 2024. 1 human. Topics covered. Hodgkin-Huxley 1952 Nobel, Sperry split-brain, fMRI 1990, BRAIN Initiative 2013, Neuralink Noland Arbaugh 2024. 1, FlyWire 2024. 45-vertex polytope #28 top couplings: #27 Microbe (0. 85), #5 Cancer (0. 85), #6 Aging (0. 85), #32 Kₗang (0. 95), #38 Anthro (0. 95), #34 Music (0. 92). Ten falsifiable predictions: Pₐvg=0. 68: arXiv 2026 (0. 90 S), Neuralink commercial 2028 (0. 55 M), Human connectome partial 2030 (0. 65 M). Pass-2 roadmap: ~1. 7M: Neuro analytics (600K) + Lean Mathlib (200K) + Neuro+AI collab (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

ITU Tier 1+ #28: Neuroscience (Kₙeuro)

Key Points

Abstract

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