A reinterpretation of quantum mechanics

Paul J. Werbos

Wim Vegt

Claudio Garola

Most scholars concerned with the foundations of quantum mechanics (QM) think that contextuality and nonlocality (hence nonobjectivity of physical properties) are unavoidable features of QM which follow from the mathematical apparatus of QM. Moreover these features are usually considered as basic in quantum information processing. Nevertheless they raise still unsolved problems, as the objectification problem in the quantum theory of measurement. The extended semantic realism (ESR) model offers a possible way out from these difficulties by embedding the mathematical formalism of QM into a broader mathematical formalism and reinterpreting quantum probabilities as conditional on detection rather than absolute. The embedding allows to recover the formal apparatus of QM within the ESR model, and the reinterpretation of QM allows to construct a noncontextual hidden variables theory which justifies the assumptions introduced in the ESR model and proves its objectivity. According to the ESR model both linear and nonlinear time evolution occur, depending on the physical environment, as in QM. In addition, the ESR model, though objective, implies modified Bell's inequalities that do not conflict with QM, supplies different mathematical representations of proper and improper mixtures, provides a general framework in which the local interpretations of the GHZ experiment obtained by other authors are recovered and explained, and supports an interpretation of quantum logic which avoids the introduction of the problematic notion of quantum truth.

G. Cvijanovich

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

Meggie Zhang