{"collection":"research-topics","items":[{"topic_id":"illustrative-conditional-locality-diamond-tests","revision":1,"title":"Simulate conditional locality and diamond tests for overlapping rewrites","loci":["simulation","theoretical"],"open_problem":"Do independently enabled local junction rewrites commute, or does their outcome depend on update order, remote state, or the applied pulse history?","why_open":"Neither cited source tests interaction-net confluence, conditional locality, or critical-pair behavior.","scope":"Finite defect-graph simulations over explicitly declared local states, boundaries, drive schedules, and overlapping redexes.","next_discriminating_criticism_or_test":"Enumerate bounded overlapping rewrite pairs and run a diamond test; record any pair whose terminal boundary state depends on reduction order.","non_claims":"Passing a finite simulation suite would not establish physical realization, general confluence, or computation beyond the simulated fragment.","origins":[{"kind":"illustrative-conjecture-revision","id":"illustrative-chiral-nematic-interaction-net-conjecture@1","relationship":"tests"}],"coordinate":null,"status":"active","authority":"illustrative-unadmitted-fixture","canonical_admission":false,"source_fixture":"cintamani.illustrative-research-topics.v1"},{"topic_id":"illustrative-global-trigger-versus-external-selection","revision":1,"title":"Separate global triggering from hidden external rule selection","loci":["control-resource","mechanism","experimental"],"open_problem":"Does a non-pair-selective global pulse merely enable local state-dependent dynamics, or do spatial fields and guided intervention select which reconnection occurs?","why_open":"Electric pulses and laser-tweezer guidance are reported, but their roles do not establish autonomous local rule choice.","scope":"Mapped field gradients, pulse histories, intervention logs, matched local states, and controls with and without targeted guidance.","next_discriminating_criticism_or_test":"Hold the local pair and boundary fixed while randomizing remote field geometry and intervention; predictive dependence on those controls falsifies the claimed local sufficiency.","non_claims":"This topic does not assume global drive is computationally free, uniform, nonselective in practice, or separable from the mechanism.","origins":[{"kind":"illustrative-conjecture-revision","id":"illustrative-chiral-nematic-interaction-net-conjecture@1","relationship":"criticizes"}],"coordinate":null,"status":"active","authority":"illustrative-unadmitted-fixture","canonical_admission":false,"source_fixture":"cintamani.illustrative-research-topics.v1"},{"topic_id":"illustrative-minimal-conservative-formal-fragment","revision":1,"title":"Define a minimal conservative formal fragment for the proposed junction rewrite","loci":["theoretical"],"open_problem":"Can the proposed two-junction 2→2 rewrite be stated as a finite typed local rule with an explicit conserved boundary and no hidden global selector?","why_open":"The cited defect algebra and observed reconnections do not supply an interaction-net signature, typing discipline, or reduction semantics.","scope":"A formal candidate language for typed trivalent junction states, distinguished arms, four-boundary interfaces, and one bounded rewrite family.","next_discriminating_criticism_or_test":"Attempt to construct two indistinguishable local inputs whose allowed outputs differ only because of global context; such a pair criticizes locality of the formal fragment.","non_claims":"This topic does not claim that the formal rule exists in chiral nematics, is universal, confluent, computationally complete, or physically implementable.","origins":[{"kind":"illustrative-conjecture-revision","id":"illustrative-chiral-nematic-interaction-net-conjecture@1","relationship":"derived-from"}],"coordinate":null,"status":"active","authority":"illustrative-unadmitted-fixture","canonical_admission":false,"source_fixture":"cintamani.illustrative-research-topics.v1"},{"topic_id":"illustrative-optical-defect-graph-measurement-validity","revision":1,"title":"Validate optical reconstruction of typed defect-graph rewrites","loci":["observation","experimental"],"open_problem":"Can optical observations distinguish junction type, principal-arm connectivity, boundary state, and 2→2 outcomes without analysis-induced topology changes?","why_open":"Graph-like structures in imagery do not by themselves validate a typed defect-graph readout or exclude ambiguous projections.","scope":"Matched optical modalities, reconstruction algorithms, synthetic controls, blinded labels, and topology-preserving uncertainty reports.","next_discriminating_criticism_or_test":"Compare independent modalities and human-blinded reconstructions on the same event; systematic disagreement criticizes the observation interface.","non_claims":"This topic does not treat an image resemblance as evidence of interaction-net semantics or a correct local rewrite.","origins":[{"kind":"illustrative-conjecture-revision","id":"illustrative-chiral-nematic-interaction-net-conjecture@1","relationship":"tests"}],"coordinate":null,"status":"active","authority":"illustrative-unadmitted-fixture","canonical_admission":false,"source_fixture":"cintamani.illustrative-research-topics.v1"},{"topic_id":"illustrative-q8-material-mechanism-experiment","revision":1,"title":"Test whether Q8 junction pairs support a repeatable local 2→2 material mechanism","loci":["physical-material","mechanism","experimental"],"open_problem":"Can selected Q8-classified trivalent junction pairs be prepared and driven so that the same typed local input and boundary repeatedly yield one 2→2 output?","why_open":"The cited laboratory work establishes rich defect structure and driven reconnections, not the conjectured deterministic pair-local mechanism.","scope":"Chiral-nematic samples, typed junction preparation, declared boundary conditions, non-pair-selective global electric drive, and repeat trials.","next_discriminating_criticism_or_test":"Blindly repeat matched preparations while varying remote graph context; failure of output invariance criticizes the proposed local mechanism.","non_claims":"This topic does not claim LiTaO3 relevance, a validated device, interaction-net computation, or detector calibration.","origins":[{"kind":"illustrative-conjecture-revision","id":"illustrative-chiral-nematic-interaction-net-conjecture@1","relationship":"tests"}],"coordinate":null,"status":"active","authority":"illustrative-unadmitted-fixture","canonical_admission":false,"source_fixture":"cintamani.illustrative-research-topics.v1"},{"topic_id":"illustrative-recurring-actuation-fifth-axis","revision":1,"title":"Ask whether recurring actuation belongs in a fifth search-space axis","loci":["ontology","control-resource"],"open_problem":"When a computation requires recurring drive or guided intervention, should that control resource be represented as a fifth categorical dimension rather than hidden inside mechanism or protocol?","why_open":"The current governed registry has four axes; repeated actuation can vary independently and may change comparative conclusions.","scope":"A compatibility-preserving ontology proposal distinguishing one-time preparation, global recurring drive, spatial selection, feedback, and measurement-conditioned control.","next_discriminating_criticism_or_test":"Classify existing and proposed experiments twice—with control embedded and with an explicit fifth axis—and test whether the latter resolves otherwise conflated comparisons without fragmenting identity.","non_claims":"This topic does not add a fifth axis, alter canonical coordinates, rank research programs, or admit the illustrative conjecture.","origins":[{"kind":"illustrative-conjecture-revision","id":"illustrative-chiral-nematic-interaction-net-conjecture@1","relationship":"motivated-by"}],"coordinate":null,"status":"active","authority":"illustrative-unadmitted-fixture","canonical_admission":false,"source_fixture":"cintamani.illustrative-research-topics.v1"}],"next_cursor":null,"bounded":true,"workflow_states_only":true,"epistemic_ranking":false,"fixture_authority":"illustrative-unadmitted-fixture"}