RQM Rotate And Validate Two Channel Frame

Choose this endpoint when you need a deterministic, bounded quaternion rotation applied to exactly two coordinated complex-sample channels simultaneously, with built-in validation of energy conservation and inverse round-trip fidelity before proceeding to the next processing stage. It is ideal when you need a pass/fail gate on rotation quality rather than just the rotated data. Prefer it over general-purpose math libraries when you need the validation invariants enforced atomically with the rotation. Do not use it when you need hardware-level truth, causal diagnostics, unbounded streaming data, more than 2 channels, or more than 4096 samples per channel.

• Invariant violation: energy error or round-trip RMSE exceeds supplied maximum thresholds — returns failure with computed metric values
• Invalid rotor: quaternion (w,x,y,z) is not unit-normalized or malformed — returns validation error
• Wrong channel count: fewer or more than exactly 2 channels supplied — returns schema error
• Sample count out of range: fewer than 1 or more than 4096 samples per channel — returns schema error
• Invalid channel_id format: channel ID does not match pattern ^[A-Za-z0-9._-]{1,64}$ — returns schema error
• Payment failure: insufficient USDC balance or x402 payment not accepted — returns 402 error
• Duplicate idempotency key with conflicting payload — returns conflict error