Publish native closure inputs

[krystophny]

What changed

• write density and temperature radial derivatives to native multispecies HDF5
• reconstruct and write Er when Om_tE is prescribed
• add a tested Om_tE-to-Er conversion

Why

The K3 outer-loop extractor needs the exact thermodynamic forces used with D31/D32. The native output contained the transport matrix and profiles but omitted their radial derivatives; prescribed-rotation mode also omitted the corresponding radial electric field.

Impact

Downstream closures can consume one self-contained, unit-tagged native file instead of combining solver output with mutable side inputs.

Validation

• fo test er_rotation_test
• fo test ntv_output_geometry_test
• fo test multispecies_iteration_sync_test
• full fo pipeline: build, tests and lint pass

This remains stacked and unmerged for flux-pumping verification.