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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Established in scope

Original gauge Ward directions do not generate full fermion translations

In the question: Complete physical Hamiltonian source with Gauss sector and thermal word limit

Excludes only the specified BRST-to-linear-contact inference. Does not exclude physical TFPT source or demand ambient CAR/independent charged field variations universally. Extended SD/BV constructions carry different supplied data. No physical source or spectrum closure.

Read the exact result, assumptions and evidence

Result

The original BRST clause is <sO>=0. The ideal generated by fermion coordinates is preserved by v_a(Psi)=T_aPsi,all regular combinations and supercommutators. But partial_Psi_i Psi_i=1 lies outside that ideal. Thus R112's full linear fermion-contact identity does not follow from these original gauge directions alone. The original color selector also gives P_r c_q†=c_q†P_(r-q),hence P0 c_q†P0=0 for nonzero Z3 charge; actual neutral words retain charged intermediate paths.

Required assumptions

  • Do not identify source types

    Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.

  • Regular original gauge directions of fermion fields

    The reviewed original gauge/BRST Ward rule acts on fermions through represented linear gauge directions v_a(Psi)=T_a Psi and dually on barPsi. Regular coefficients,ghost extensions and supercommutators are allowed,not inverse Grassmann coordinates. An additionally introduced collective Schwinger-Dyson shift symmetry is not part of this clause.

Original evidence

finding:r113-original-gauge-brst-cannot-generate-full-fermion-contact-directions