{"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","next_experiments":[]},{"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","next_experiments":[]},{"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","next_experiments":[{"experiment_id":"three-dimensional-coincidence-addressed-tensor-fpga","revision":1,"title":"3-D coincidence-addressed tensor FPGA","experiment_kind":"simulation","intent":"replication","minimal_decisive_test":"Generate a finite tensor workload, route operands through the declared 3-D coincidence address, and compare FPGA outputs and resource traces with an exact software oracle and a randomized address control.","strongest_falsifier":{"criterion_id":"tensor-fpga-falsifier-collision","statement":"A declared coincidence address produces a dropped, duplicated, or order-dependent tensor contribution.","metric":"address semantic mismatch","comparator":">","threshold_text":"0","units":"events"},"equipment_capabilities":[{"group_id":"fpga","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"FPGA with deterministic cycle/event trace","units":"board"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false},{"experiment_id":"rust-exact-oracle-hvm-amplitudes-infinity","revision":1,"title":"Rust exact oracle and HVM symbolic reduction for amplitudes at infinity","experiment_kind":"analytical","intent":"discrimination","minimal_decisive_test":"Enumerate finite amplitude expressions in a Rust exact oracle, reduce the corresponding HVM symbolic terms, and compare normalized limits and failure cases without treating a rewrite trace as a physical result.","strongest_falsifier":{"criterion_id":"hvm-falsifier-hidden-limit","statement":"The symbolic system returns a finite amplitude where the exact oracle proves divergence or undefined normalization.","metric":"finite-versus-nonfinite mismatch","comparator":">","threshold_text":"0","units":"terms"},"equipment_capabilities":[{"group_id":"exact-software","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"reproducible Rust exact arithmetic toolchain","units":"toolchain"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false}]},{"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","next_experiments":[{"experiment_id":"graphene-complementary-frequency-dense-matmul","revision":1,"title":"Graphene complementary-frequency dense matrix multiplication","experiment_kind":"physical","intent":"discrimination","minimal_decisive_test":"Encode two finite matrices into complementary optical frequencies, measure the nonlinear mixing output, and compare against an independently computed dense product under randomized phase and amplitude controls.","strongest_falsifier":{"criterion_id":"graphene-falsifier-ablation","statement":"The same product signature remains when the nonlinear interaction is ablated.","metric":"ablation-normalized product signal","comparator":">=","threshold_text":"predeclared leakage threshold","units":"fraction"},"equipment_capabilities":[{"group_id":"frequency-source","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"phase-stable complementary-frequency source","units":"system"},{"group_id":"spectral-readout","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"complex spectral readout with calibrated dynamic range","units":"system"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false},{"experiment_id":"oam-multimode-conservation-test","revision":1,"title":"OAM and multimode conservation under controlled interaction","experiment_kind":"physical","intent":"characterization","minimal_decisive_test":"Prepare known input OAM and transverse modes, apply a declared interaction, and compare input and output modal charge and energy balances with phase-resolved readout.","strongest_falsifier":{"criterion_id":"oam-falsifier-leakage","statement":"Residual modal charge changes beyond uncertainty or leakage tracks an unmodeled interaction channel.","metric":"normalized residual","comparator":">","threshold_text":"predeclared falsifier threshold","units":"fraction"},"equipment_capabilities":[{"group_id":"mode-analysis","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"phase-resolved OAM and multimode sorter","units":"system"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false},{"experiment_id":"fs-written-exact-optical-computing","revision":1,"title":"Femtosecond-written perovskite/LiNbO3/chalcogenide exact optical computing cell","experiment_kind":"physical","intent":"calibration","minimal_decisive_test":"Write the same finite optical circuit separately in perovskite, LiNbO3, and chalcogenide variants, inject enumerated basis states, and compare decoded outputs against an exact symbolic oracle with calibrated phase and loss accounting.","strongest_falsifier":{"criterion_id":"fs-exact-falsifier","statement":"A basis-state output cannot be distinguished from a bypass or crosstalk model at the declared precision.","metric":"oracle residual","comparator":">","threshold_text":"predeclared bound","units":"dimensionless"},"equipment_capabilities":[{"group_id":"writing","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"femtosecond direct-write platform with metrology","units":"system"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false}]},{"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","next_experiments":[{"experiment_id":"chiral-nematic-interaction-net-rewrite","revision":1,"title":"Chiral-nematic typed-junction 2-to-2 interaction-net rewrite","experiment_kind":"physical","intent":"falsification","minimal_decisive_test":"Prepare the same typed local pair and boundary repeatedly, blind the operator to remote graph context, apply the declared global drive, and test whether the output topology is invariant to remote context.","strongest_falsifier":{"criterion_id":"chiral-falsifier-context","statement":"Output class changes systematically with remote context while local pair and boundary are held fixed.","metric":"remote-context effect","comparator":">","threshold_text":"predeclared effect threshold","units":"effect size"},"equipment_capabilities":[{"group_id":"sample-cell","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"chiral-nematic sample cell with controlled electric drive","units":"device"},{"group_id":"imaging","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"calibrated multiview polarized microscopy","units":"system"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false},{"experiment_id":"oam-angular-collision-interference-variant","revision":1,"title":"OAM angular collision/interference and contraction variant","experiment_kind":"physical","intent":"discrimination","minimal_decisive_test":"Collide two independently prepared OAM/multimode wave packets with controlled relative phase and angle, and discriminate a local angular-interference/contraction rule from linear superposition and detector artifacts.","strongest_falsifier":{"criterion_id":"oam-angular-falsifier","statement":"The signature is fully explained by linear interference, alignment, or detector cross-talk.","metric":"nonlinear model improvement","comparator":"<=","threshold_text":"predeclared minimum improvement","units":"normalized residual"},"equipment_capabilities":[{"group_id":"angular-analysis","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"phase-resolved multimode field analyzer","units":"system"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false}]},{"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_experiments":[{"experiment_id":"rf-acoustic-multimode-optical-operator","revision":1,"title":"RF/acoustic-controlled multimode optical operator","experiment_kind":"physical","intent":"discrimination","minimal_decisive_test":"Drive a multimode optical medium with independently logged RF and acoustic controls, reconstruct the complex mode-to-mode operator, and compare it with a field-off and single-control model.","strongest_falsifier":{"criterion_id":"rf-acoustic-falsifier-ablation","statement":"An ablated or linear model predicts the joint output within the same tolerance.","metric":"residual improvement","comparator":"<=","threshold_text":"predeclared threshold","units":"fraction"},"equipment_capabilities":[{"group_id":"control","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"independently phase-logged RF and acoustic controller","units":"system"},{"group_id":"independent-pickups","group_kind":"optional","selection_rule":"at-least-n","quantity":2,"capability":"independent RF phase pickup","units":"channel"},{"group_id":"independent-pickups","group_kind":"optional","selection_rule":"at-least-n","quantity":2,"capability":"independent acoustic delay pickup","units":"channel"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false}]},{"topic_id":"illustrative-volumetric-recurrent-calculation-origin","revision":1,"title":"Origin story for volumetric recurrent calculation","loci":["theoretical","simulation","experimental"],"open_problem":"Can a finite, calibrated 3-D optical volume preserve a declared state and operator across recurrent passes?","why_open":"The origin story is a design conjecture assembled from material and computing ideas; it is not a demonstrated result.","scope":"Exact finite operators, volumetric addressability, recurrence, calibration, and falsifier-first controls.","next_discriminating_criticism_or_test":"Run the finite volume-addressed operator test and compare against planar and feedback-off controls.","non_claims":"The origin story does not claim that any material already performs volumetric recurrent calculation. It does not claim useful scale, stability, universality, energy efficiency, or a production device. It does not convert any cited material paper into evidence for the proposed calculation. It does not claim that recurrence, volumetric storage, and computation are the same property.","origins":[{"kind":"illustrative-origin-story","id":"illustrative-volumetric-recurrent-calculation-origin@1","relationship":"motivated-by"}],"coordinate":null,"status":"active","authority":"illustrative-unadmitted-fixture","canonical_admission":false,"source_fixture":"cintamani.illustrative-research-topics.v1","next_experiments":[{"experiment_id":"fs-written-volumetric-computing","revision":1,"title":"Femtosecond-written volumetric optical computing volume","experiment_kind":"hybrid","intent":"falsification","minimal_decisive_test":"Address separated written paths across a finite 3-D volume, apply a declared optical operator, and test whether state readout remains separable and repeatable across depth and recurrence passes.","strongest_falsifier":{"criterion_id":"fs-volume-falsifier","statement":"Feedback-off or planar controls reproduce the proposed volumetric recurrence signature.","metric":"control-normalized stability","comparator":"<=","threshold_text":"predeclared discriminating margin","units":"dimensionless"},"equipment_capabilities":[{"group_id":"writer","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"3-D femtosecond writing and depth metrology","units":"system"},{"group_id":"readout","group_kind":"alternative","selection_rule":"any-one","quantity":1,"capability":"depth-resolved complex optical readout","units":"system"},{"group_id":"readout","group_kind":"alternative","selection_rule":"any-one","quantity":1,"capability":"phase-resolved modal volume readout","units":"system"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false},{"experiment_id":"adaptive-recurrent-mixed-halide-perovskite","revision":1,"title":"Adaptive recurrent mixed-halide perovskite operator","experiment_kind":"hybrid","intent":"characterization","minimal_decisive_test":"Apply a fixed sequence of optical inputs to a mixed-halide perovskite loop while an explicit controller adapts one declared parameter, then distinguish recurrent state adaptation from photochemical drift.","strongest_falsifier":{"criterion_id":"perovskite-falsifier-drift","statement":"A drift-only model explains the same sequence and state dependence without adaptive updates.","metric":"model residual difference","comparator":"<=","threshold_text":"predeclared margin","units":"normalized residual"},"equipment_capabilities":[{"group_id":"spectral","group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"time-resolved calibrated spectral readout","units":"system"}],"authority":"illustrative-unadmitted-fixture","canonical_admission":false}]}],"next_cursor":null,"bounded":true,"workflow_states_only":true,"epistemic_ranking":false,"fixture_authority":"illustrative-unadmitted-fixture"}