Relation to the autonomous benchmarks

The supplied Hawk02-C and Hawk02-D report exact one-particle benchmarks of the form

with $s$ containing survival and uncollected weight CheungHawk02C,CheungHawk02D. Those formulas are valuable normalization checks, but they use their own excitation-sector structure.

The present quartic Hamiltonian generally lacks that structure. No scalar survival factor is asserted for its code, and no quadratic wave-operator completeness theorem is transferred to it. The regulator estimate derived here applies without assuming those simplifications.

The resource and access distinctions in En02-B, En02-C, En02-E, and Em03-C likewise remain attached to their own channels CheungEn02B,CheungEn02C,CheungEn02E,CheungEm03C. Their explicit decoders or packet-state approximations are not automatically implementations of the present decoder.