Fractal Reinterpretation of Quantum Mechanics Positioning: Implications for Hamiltonian Space and Future Quantum Realms (Intro: Vol-II) A Teaching Note
Syed Muntasir Mamun
This paper reinterprets the triaxial positioning of fundamental physics as described in Mamun (2026), shifting from a linear coordinate framework to fractal geometric concepts. The current positioning of quantum mechanics thoughts, approximated at (0.7, 0.6, 0.4) across quantum, relativistic, and classical axes, is reconceptualised through fractal dimensions, self-similarity, and scale invariance, drawing on existing literature. We evaluate whether fractals can assess verticals—interpreted as specialised domains—in quantum mechanical enquiries, with a focus on Hamiltonian space where chaotic dynamics yield fractal structures. Speculations on future possibilities suggest fractals may bridge quantum realms with gravity and complexity, fostering unified theories. References are drawn from key works in fractal quantum mechanics. Mamun, SM (2026)……………………………………….1 Fractal Reinterpretation of Quantum Mechanics Positioning: Implications for Hamiltonian Space and Future Quantum Realms (Intro: Vol-II) Also available on Academia.edu: https://www.academia.edu/attachments/131513458/download_file?s=portfolio
•Jan 1, 2026•0 citations