What question did this study set out to answer?

The research aims to deduce the formalism of quantum mechanics from phenomenological observations without preconceived structures.

Phenomenological quantum mechanics II: deducing the formalism from experimental observations

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The exercise deduces quantum mechanics formalism from observations, suggesting fresh insights into foundational issues.

The research aims to deduce the formalism of quantum mechanics from phenomenological observations without preconceived structures.
Proposed deduction using multi-time probability distributions from sequential measurements of quantum observables.
Derived a formalism showing affinity with Hilbert spaces based solely on phenomenological inputs.
Identified analogues to standard building blocks like projection operators in the resulting formalism.
The deduced formalism provides an explicit representation compatible with Hilbert spaces.
While the new and standard formalisms align on empirical predictions, they differ conceptually.
The novel approach allows for reassessment of longstanding foundational issues in quantum mechanics.

Szańkowski et al. (2026) studied this question.

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