Illustrative · unadmitted · revision 1
OAM and multimode conservation under controlled interaction
This is a proposed definition for criticism. It is not an experiment run, result, evidence claim, canonical admission, inventory record, or procurement request.
- Stable identifier
oam-multimode-conservation-test- Kind
- physical
- Intent
- characterization
Exact target
- external-reference ·
oam-multimode-conservation — operator-supplied OAM and multimode conservation proposal
Minimal decisive protocol
Mode-resolved conservation balance
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.
- 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
- negative: Bypass the interaction element. (interaction strength; No interaction should preserve the calibrated baseline.)
- randomized: Randomize input modal phases and tuple order. (input phase; Balance should not depend on arbitrary ordering.)
Observables and units
Observables| Observable | Units | Measurement | Uncertainty reporting |
|---|
| OAM charge residual | ℏ per photon | phase-resolved modal decomposition | propagate sorter and phase-reference uncertainty |
|---|
| mode leakage | fraction | power outside declared basis | report basis truncation |
|---|
Calibration and repetitions
- modal cross-talk matrix: single-mode calibration sweep — cross-talk matrix stable over the acquisition block (fraction)
Replicate unit: independent mode tuple; minimum 40, independent 8.
Randomization: tuple, phase, and interaction order randomized
Stopping rule: predeclared block completion
Uncertainty: phase reference, mode sorter cross-talk, detector noise, basis truncation; calibrated covariance and bootstrap over independent tuples; publish residuals and leakage by tuple
Success and falsifiers
Success
- Declared modal balance residuals remain within the calibration-aware tolerance. (balance residual <= predeclared tolerance fraction)
Falsifiers
- Residual modal charge changes beyond uncertainty or leakage tracks an unmodeled interaction channel. (normalized residual > predeclared falsifier threshold fraction)
Required capability groups
- mode-analysis · required, any-one, quantity 1: phase-resolved OAM and multimode sorter (system) — cross-talk calibration and complex readout
Related capability types: Phase-resolved OAM and multimode sorter
Confounds and raw artifacts
- unobserved modes carry the apparent imbalance: expand the basis and report tails; mitigation: repeat with increasing basis size
- complex-modal-trace · HDF5 plus calibration JSON · 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.
Provenance boundary
The citation supplies OAM context only; it does not support a conservation or computation result.
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