Gauge Structure and Generation Counting in a Six-Component Higher-Derivative Scalar Model

This work proposes a minimal theoretical framework in which key structural features of the Standard Model — fermionic behavior, the gyromagnetic ratio 𝑔=2, gauge connections, and the three-generation structure — emerge from the dynamics of a single six-component complex scalar field formulated in a Krein space with an indefinite internal metric. The model is motivated by consistency requirements of higher-derivative Lee–Wick–type theories, where ultraviolet finiteness necessitates a balance between physical and regulator degrees of freedom. We show that the resulting internal metric structure induces an effective Clifford algebra upon projection onto the physical subspace, leading to emergent Pauli spin dynamics and a geometric origin of gauge interactions via Berry connections. Furthermore, the cancellation of mixed gauge anomalies between the physical sector and the negative-norm regulator modes imposes a discrete consistency condition that uniquely selects three fermion generations. These results suggest that several defining features of the Standard Model may arise from algebraic and geometric constraints of an underlying scalar dynamics in an indefinite-metric space. This repository contains the manuscript source and supporting materials associated with this study.