What question did this study set out to answer?

This research aims to explore the periodic oscillations of digital roots derived from the Fibonacci sequence using the Mohamadian-Mariwan Matrix.

February 17, 2026Open Access

The Mohamadian-Mariwan Matrix (MMM): A Study of 24-Point Periodic Oscillations in Fibonacci Digital Roots

Key Points

This research aims to explore the periodic oscillations of digital roots derived from the Fibonacci sequence using the Mohamadian-Mariwan Matrix.
Developed the Mohamadian-Mariwan Matrix based on the Pisano Period of the Fibonacci sequence.
Analyzed dual-axis periodicity and reciprocal symmetry in digital roots.
Identified a unique periodicity pattern in the Fibonacci digital roots.
Established a mathematical framework for analyzing system stability.
Highlighted potential applications in high-density data encoding and energy optimization.

Abstract

This technical disclosure introduces the Mohamadian-Mariwan Matrix (MMM), derived from the 24-point Pisano Period (m=9) of the Fibonacci sequence. The research identifies a unique dual-axis periodicity and reciprocal symmetry within digital roots. The MMM framework provides a mathematical basis for analyzing periodic system stability, with potential applications in high-density data encoding and energy system optimization.

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Kasra Mohamadian-Mariwan

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The Mohamadian-Mariwan Matrix (MMM): A Study of 24-Point Periodic Oscillations in Fibonacci Digital Roots

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Abstract

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