Fermionic Preparation and Conditional Lepton Matching of the Axis Common Body
Andrew Morton · Public preprint · Conditional preparation and matching
Connects an explicitly admitted fermionic preparation of the Axis common body to a conventional low-energy lepton description. The construction preserves one center and Parent charge while keeping electromagnetic normalization, Yukawas and physical lepton masses as matching data.
Abstract
We formulate a conditional interface between the localized common body of the Axis Model and a conventional low-energy lepton description. Two additions to the classical body data are explicit: an admitted odd preparation endpoint with a normalized spin-one-half Clifford source law, and a same-body matching axiom admitting E = Λ•W* as an effective internal multiplicity. The latter is declared at the Soldering/QFT boundary; its microscopic generation from the classical common body is outside the result. The Clifford square fixes the Parent-source curvature coefficient relative to the inherited charge and reference inertia. An observer-dependent isometry then identifies the prepared spin factor with the weak/chiral Soldering carrier while preserving its single center, scalar Parent charge, physical parity, and transported reference source histories. On the selected exterior representation, for any nonzero Higgs section, complementary electron and neutrino projectors satisfy the exact relative-charge identity Q0 = −Πe. Two independent Higgs incidences act within these components, whose existence is independent of either Yukawa coefficient. The matching map is a carrier and reference-source identification; full post-Higgs Hamiltonian intertwining is not imposed. Consequently the common-body reference inertia supplies no common physical lepton mass shell. A separately admitted conventional QFT/EFT realization supplies Fermi statistics under the usual hypotheses, charged QED infraparticle behavior, and neutral particle behavior under additional spectral assumptions. Absolute electromagnetic normalization, Yukawas, masses, and radiative data remain matching inputs or downstream consequences. The result is a self-contained conditional preparation and matching construction with an explicit boundary between its assumptions and its algebraic consequences.
Scope
The odd preparation endpoint and effective same-body exterior multiplicity are explicit assumptions. Their algebraic consequences attach the established representation geometry to one prepared carrier. A conventional QFT/EFT realization and its spectral assumptions are admitted separately. The construction supplies no numerical electromagnetic charge, Yukawa coupling or lepton-mass prediction.
Paper and supporting files
The deposit contains the manuscript, editable sources and a reproducibility package for the declared finite interface identities, together with claim and validation records.
Read the current paper and reproducibility package on Zenodo
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