Quantum mechanics - Vol.1: Fundamentals

Claude N. Cohen-Tannoudji, Bernard Diu, Franck Laloë

Claude N. Cohen-Tannoudji, Bernard Diu, Franck Laloë

Patil, Swapnil

This paper elucidates the origin of the most fundamental question in quantum mechanics i.e. what is the origin of wave theory of matter? This paper MUST be read together with our two other papers, arXiv:1409.7156 and J. Phys.: Cond. Matter Vol. 25, 382205 (2013), for proper appreciation of our ideas.

Andrew Whitaker

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

Kurt Gottfried, Tung‐Mow Yan