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1 \clearpage\phantomsection\addcontentsline{toc}{section}{Sources and further reading}
2 \renewcommand{\refname}{Sources and further reading}
3 \begin{thebibliography}{9}
4 \bibitem{kp49} Komorebi P., \emph{Formal source for the free Dirac construction}. Exact module, compiler, and archive identities are recorded in the formal verification appendix. Its certificate applies to the stated source declarations and hypotheses.
5 
6 \bibitem{kp44paper} Komorebi P., \emph{Fourier Packets and Hilbert Stability for Dirac Evolution}. The finite-packet results PH01 to PH12 provide the underlying notation. Their written deductions and exact formal correspondences are distinguished in the verification appendix.
7 
8 \bibitem{kplegacy} Komorebi P., \emph{Projector Refinement Physics}: foundational and cosmological studies, technical supplement, selected second implementation, and covariant backreaction analysis. The technical appendices identify their source roles and computational evidence.
9 
10 
11 
12 \bibitem{dirac1928}
13 P. A. M. Dirac,
14 \emph{The quantum theory of the electron},
15 Proceedings of the Royal Society of London. Series A
16 \textbf{117} (1928), no.~778, 610--624.
17 \href{https://doi.org/10.1098/rspa.1928.0023}{doi:10.1098/rspa.1928.0023}.
18 
19 \bibitem{roiesnel2013}
20 C. Roiesnel,
21 \emph{Definition of the covariant lattice Dirac operator},
22 Physical Review D \textbf{87} (2013), 074505.
23 \href{https://doi.org/10.1103/PhysRevD.87.074505}{doi:10.1103/PhysRevD.87.074505}.
24 The symmetric difference stencil is also recorded in Eq.~(9) of the
25 author's preprint
26 \href{https://arxiv.org/abs/1211.1944v1}{arXiv:1211.1944v1}
27 (8 November 2012).
28 
29 \bibitem{bader2022}
30 P. Bader, S. Blanes, F. Casas, and M. Seydao\u{g}lu,
31 \emph{An efficient algorithm to compute the exponential of skew-Hermitian
32 matrices for the time integration of the Schr\"odinger equation},
33 Mathematics and Computers in Simulation \textbf{194} (2022), 383--400.
34 \href{https://doi.org/10.1016/j.matcom.2021.12.002}{doi:10.1016/j.matcom.2021.12.002}.
35 Author preprint:
36 \href{https://arxiv.org/abs/2103.10132v2}{arXiv:2103.10132v2}
37 (7 December 2021).
38 
39 \end{thebibliography}

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