{"experiment_id":"oam-multimode-conservation-test","revision":1,"title":"OAM and multimode conservation under controlled interaction","experiment_kind":"physical","intent":"characterization","status":"illustrative-unadmitted","targets":[{"target_id":"oam-multimode-conservation","target_kind":"external-reference","target_revision":null,"target_label":"operator-supplied OAM and multimode conservation proposal"}],"protocols":[{"protocol_id":"oam-conservation-minimal-protocol","name":"Mode-resolved conservation balance","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.","steps":["Calibrate mode sorter and phase reference.","Inject randomized known mode tuples.","Acquire complex modal amplitudes before and after interaction.","Compute conserved and leaked modal quantities."],"decision_rule":"Conservation survives only if all declared balance residuals stay within the uncertainty interval and mode leakage controls are bounded.","boundary":"Finite mode basis and one interaction geometry only."}],"controls":[{"control_id":"oam-no-interaction","control_kind":"negative","description":"Bypass the interaction element.","controlled_variable":"interaction strength","expected_relation":"No interaction should preserve the calibrated baseline."},{"control_id":"oam-mode-scramble","control_kind":"randomized","description":"Randomize input modal phases and tuple order.","controlled_variable":"input phase","expected_relation":"Balance should not depend on arbitrary ordering."}],"observables":[{"observable_id":"oam-charge-residual","name":"OAM charge residual","units":"ℏ per photon","measurement":"phase-resolved modal decomposition","aggregation":"per tuple","uncertainty_reporting":"propagate sorter and phase-reference uncertainty"},{"observable_id":"oam-mode-leakage","name":"mode leakage","units":"fraction","measurement":"power outside declared basis","aggregation":"per tuple","uncertainty_reporting":"report basis truncation"}],"calibration":[{"calibration_id":"oam-mode-sorter","quantity":"modal cross-talk matrix","units":"fraction","method":"single-mode calibration sweep","acceptance":"cross-talk matrix stable over the acquisition block"}],"repetitions":{"replicate_unit":"independent mode tuple","minimum_repetitions":40,"independent_repetitions":8,"randomization":"tuple, phase, and interaction order randomized","stopping_rule":"predeclared block completion"},"uncertainty":{"sources":"phase reference, mode sorter cross-talk, detector noise, basis truncation","propagation":"calibrated covariance and bootstrap over independent tuples","reporting":"publish residuals and leakage by tuple"},"success_criteria":[{"criterion_id":"oam-success-balance","statement":"Declared modal balance residuals remain within the calibration-aware tolerance.","metric":"balance residual","comparator":"<=","threshold_text":"predeclared tolerance","units":"fraction"}],"falsifiers":[{"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"}],"confounds":[{"confound_id":"oam-basis-truncation","confound":"unobserved modes carry the apparent imbalance","detection_control":"expand the basis and report tails","mitigation":"repeat with increasing basis size"}],"raw_artifacts":[{"raw_artifact_id":"oam-modal-amplitudes","artifact_kind":"complex-modal-trace","format":"HDF5 plus calibration JSON","retention":"retain all modes used in balance"}],"nonclaims":["Conservation in a finite optical basis does not establish a universal law.","This fixture does not claim a computation, collision rule, or physical admission."],"equipment_requirements":[{"requirement_id":"oam-sorter","group_id":"mode-analysis","group_order":1,"group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"phase-resolved OAM and multimode sorter","units":"system","specification":"cross-talk calibration and complex readout","equipment_type_ids":["oam-mode-sorter"]}],"dependencies":[],"relations":[],"topic_links":[{"link_id":"oam-conservation-topic-link","topic_version_id":"illustrative-optical-defect-graph-measurement-validity@1","relation_kind":"next-discriminating-test","rationale":"Mode-resolved conservation is a bounded next test for the optical observation topic."}],"provenance":{"citation_availability":"available","citations":[{"source_id":"oam-light-context","label":"Orbital angular momentum of light context","url":"https://arxiv.org/abs/1009.2675"}],"boundary":"The citation supplies OAM context only; it does not support a conservation or computation result."},"authority":"illustrative-unadmitted-fixture","source_fixture":"cintamani.illustrative-proposed-experiments.v1","canonical_admission":false,"public_d1_seed":false,"evidence_claim":false,"equipment_types":[{"equipment_type_id":"oam-mode-sorter","revision":1,"title":"Phase-resolved OAM and multimode sorter","description":"A capability type for separating and measuring finite orbital-angular-momentum and transverse-mode bases.","capabilities":[{"capability_id":"oam-modal-decomposition","capability":"finite OAM/modal decomposition","units":"mode","specification":"declared basis size and cross-talk matrix"},{"capability_id":"oam-phase-reference","capability":"phase-referenced complex field measurement","units":"rad","specification":"stable reference and timestamped phase calibration"}],"operating_limits":[{"operating_limit_id":"oam-basis-limit","parameter":"modal basis size","lower_bound":"1","upper_bound":"declared","units":"modes","notes":"Report truncation tails."}],"calibrations":[{"equipment_calibration_id":"oam-cross-talk","quantity":"modal cross-talk","units":"fraction","method":"single-mode sweep","traceability":"retain calibration matrix"}],"safety_requirements":[{"safety_requirement_id":"oam-beam-enclosure","hazard":"focused beam","requirement":"beam enclosure","mitigation":"interlocked path"}],"interface_requirements":[{"interface_requirement_id":"oam-data-interface","interface_kind":"data","specification":"complex modal amplitudes plus calibration metadata","units":"file"}],"nonclaims":["No OAM conservation or collision result follows from this capability type."],"citations":[{"source_id":"oam-light-context","label":"Orbital angular momentum of light context","url":"https://arxiv.org/abs/1009.2675"}]}]}