Golden rhythms as a theoretical framework for cross-frequency organization

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Category: Golden ratio —Reference

• Introduction
• Fractional Calculus, Structural Stability, and the 1/φ Regime‎
• Investigators of the Golden Ratio in Consciousness, Time, and Physics
• arXiv: Golden rhythms as a theoretical framework for cross-frequency organization
• Quantum_Signatures_of_Proper_Time_in_Optical_Ion_Clocks_JOUIRNALS-APS-ORG-qhj9-pc2b (PDF)
• Golden rhythms as a theoretical framework for cross-frequency organization

• arXiv.org https://arxiv.org/pdf/2111.09953

Mark A. Kramer1,2*

1Department of Mathematics and Statistics, Boston University 2Center for Systems Neuroscience, Boston University

Correspondence

Mark A. Kramer, Department of Mathematics and Statistics, Boston

University, Boston, MA, 02115, USA

'Email: mak@bu.edu

Funding information
NIH, NIBIB, Grant/Award Number:
R01EB026938; NSF, Grant/Award Number:
1451384

While brain rhythms appear fundamental to brain function, why brain rhythms consistently organize into the small set of discrete frequency bands observed remains unknown.

Here we propose that rhythms separated by factors of the golden ratio (φ = (1 + √5)/2) optimally support segregation and cross-frequency integration of information transmission in the brain.

Organized by the golden ratio, pairs of transient rhythms support multiplexing by reducing interference between separate communication channels, and triplets of transient rhythms support integration of signals to establish a hierarchy of cross-frequency interactions.

We illustrate this framework in simulation and apply this framework to propose four hypotheses.

K E Y W O R D S

oscillations, cross-frequency coupling, multiplexing, neural communication system

In memory of Prof. Miles A. Whittington