This study proposes a novel hypothesis exploring the potential relationship between magnetite nanoparticle sizes in the human brain and neural oscillation frequencies. Magnetite, a naturally occurring magnetic material found in brain tissue, has been the subject of increasing scientific interest due to its potential role in brain function and its possible link to neurodegenerative diseases. Concurrently, neural oscillations are known to play crucial roles in various cognitive processes. Our theoretical model, grounded in Néel's theory of superparamagnetism and principles of electromagnetism, suggests a direct physical relationship between specific magnetite grain sizes (19-24 nm) and a wide range of neural oscillation frequency bands (1-1000 Hz). Using computational simulations and statistical analyses, we investigated how the magnetic properties of these nanoparticles might interact with or influence neural activity. Our calculations show that magnetite particles within this size range have magnetic moment fluctuation frequencies that span the range of known neural oscillations, with larger particles corresponding to lower frequencies and smaller particles to higher frequencies, following Néel's relaxation equation. This relationship encompasses the entire spectrum of known neural oscillations, from delta waves to high-frequency oscillations. Of particular interest, we found that magnetite particles within this size range could potentially interact with the 50-60 Hz frequencies of power grid systems, raising intriguing questions about potential interactions between environmental electromagnetic fields and endogenous brain activity. These results suggest potential size-dependent interactions between magnetite particles and neural oscillations, with implications for understanding brain function, aging processes, and the impact of environmental electromagnetic fields. This work provides a theoretical approach for future experimental studies and may offer new perspectives on the complex dynamics of brain physiology and pathology.

Geophysical Institute University of Alaska Fairbanks AK 99775 USA

Institute of Forensic Medicine and Toxicology 1st Faculty of Medicine Charles University and General Teaching Hospital Studničkova 4 128 00 Prague 2 Czech Republic

Institute of Hydrogeology Engineering Geology and Applied Geophysics Faculty of Science Charles University Albertov 6 128 43 Prague 2 Czech Republic

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