Foundational Open Problems: Choose an Inference to Test
A foundational research project should identify an inference about quantum theory that is incomplete, disputed or experimentally testable. “Explain quantum reality” is too broad to guide a calculation. A workable question states the operational scenario, mathematical assumptions and conclusion whose status is at issue. This guide routes by method; the linked assessments own the evidence for each topic.
Helpful background. The measurement problem supplies the distinction between unitary evolution, records and outcomes.
Choose the question’s logical form
Section titled “Choose the question’s logical form”| Question you can formulate | Appropriate route | What would count as progress |
|---|---|---|
| Which premise produces an apparent contradiction about observers? | Wigner’s-friend scenarios | A precise operational model or a corrected implication |
| Which accessible records distinguish two accounts of measurement? | Measurement problem | A proved equivalence or a distinguishing prediction |
| Can a dynamical modification be separated from environmental noise? | Collapse tests | A calibrated likelihood or improved exclusion region |
| Which causal or independence assumption is tested by correlations? | Bell frontiers, causal structure | A bound with explicit assumptions and robust statistics |
| When do restricted observers recover classical descriptions? | Quantum–classical transition | A quantitative operational approximation with controlled error |
These are distinct projects. Established: decoherence explains suppression of accessible interference in specified models. Active: the detailed emergence of robust records and the testing of proposed dynamical modifications. Controversial: claims that one interpretive vocabulary is experimentally selected when the compared accounts make identical predictions. Schlosshauer and Bassi–Dorato–Ulbricht provide complementary baselines. Decoherence review, collapse review.
Make the novelty claim checkable
Section titled “Make the novelty claim checkable”Write the allowed preparations, operations, observables and conditioning rules. Then write the extra premise being changed: locality, causal order, observer access, dynamical linearity or an outcome postulate. A theorem about one set of premises cannot be advertised as rejecting every account that uses the same informal label.
Before committing, trace the exact statement through the primary paper, replies and corrections. Search for equivalent formulations under different terminology. A newly drawn circuit can implement an already analyzed scenario.
Entry project: an assumption ledger with a countermodel
Section titled “Entry project: an assumption ledger with a countermodel”Choose one small no-go argument or observer scenario from a topic assessment. Reconstruct it using finite-dimensional states and instruments, list every premise, and remove one premise at a time. Deliver a calculation of the observable probabilities plus either a countermodel or a proof that the selected modification does not change the conclusion. A laptop and graduate linear algebra suffice for the finite case.
The baseline is the original statement with all premises intact. Failure tests expose hidden postselection, incompatible measurements or an inaccessible joint observable. If two models agree on every allowed probability, stop proposing a discrimination experiment within that operation set. Research begins with a new robust bound, a physically realizable distinction or a precise equivalence result that closes a gap in the literature.
Entry points and review scope
Section titled “Entry points and review scope”Read the relevant stable definitions before comparing interpretations. This guide was reviewed on 11 October 2026 using selected 2004 and 2023 reviews; it does not certify that every suggested subproblem remains unaddressed. Update a project when a corrected premise, new prediction or improved noise model changes the actual inference.
References
Section titled “References”- A. Bassi, M. Dorato and H. Ulbricht, “Collapse Models: A Theoretical, Experimental and Philosophical Review,” Entropy 25, 645 (2023). Preprint.
- M. Schlosshauer, “Decoherence, the measurement problem, and interpretations of quantum mechanics,” Reviews of Modern Physics 76, 1267–1305 (2004). Preprint.