ESA engineering-rate integration controls

ESA's iMAR records contain angular rates and accelerations in engineering units, not Applanix integer increments. This prerequisite constructs clearly labeled candidate increments from adjacent records while retaining both original rows. It does not determine which sampling/averaging convention the instrument used.

Add a streaming adapter in analysis/lll/airquantumgrav_increments.py supporting three explicit hypotheses: rate held from the left endpoint, rate held backward from the right endpoint, and linear point-rate quadrature. Use actual timestamp differences. Keep interval support and any explicitly supplied alignment offset separate from the original time tags. No bias, mounting, gravity or background rotation correction is allowed. Reject malformed rows, reversals and gaps; never fill missing samples or give the first record fictitious preceding support.

Qualify constant, linear and sinusoidal generated channels against independently integrated analytic functions. Compare declared derivative-bound quadrature allowances with exact integrals. Test single-record, cross-chunk continuation, unsupported gaps, alignment labels and preservation of original values.

Any error allowance is conditional on independently supplied derivative bounds; it cannot be inferred reliably just by differencing adjacent noisy rates. Integrating rate components is not the same as qualifying finite rotations or coning/sculling. A full native rate-observation adapter still needs those tests.

This step reads no original ESA recording, performs no model fits, changes no eligibility rule and inspects no protected flight. The finite qualification has 48 identities: 36 analytic quadrature cases (three hypotheses, three channel families, four timestamp profiles) and 12 changing-axis/force body cases. The limits are 1,152 component-interval evaluations, 24 ODE solves and 24,000 ODE right-hand-side evaluations, four total numerical threads and 60 cooperative wall seconds. Each identity reserves its full finite allowance before execution; there are no retries. Sources, environment and task identities freeze first.

Body comparisons use 1e-11 as an explicit numerical-reference allowance, with two integration resolutions agreeing within that allowance. The bound remains the declared mathematical bound; this allowance is not instrument uncertainty.