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#!/bin/bash
# Quick compile script for the paper
echo "Compiling paper..."
pdflatex spacetime_main.tex
bibtex spacetime_main
pdflatex spacetime_main.tex
pdflatex spacetime_main.tex
echo "Done! Output: spacetime_main.pdf"

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\usepackage{csquotes} \usepackage{csquotes}
% Document version % Document version
\newcommand{\docversion}{0} \newcommand{\docversion}{Version 0.1}
\newcommand{\docdate}{June 2025} \newcommand{\docdate}{June 2025}
% Header/footer setup % Header/footer setup
@ -45,7 +45,7 @@
\begin{document} \begin{document}
\title{Mathematical Analysis of Force Balance in Atomic Systems: Implications for Reference Frame Structure} \title{DRAFT: Mathematical Analysis of Force Balance in Atomic Systems: Implications for Reference Frame Structure}
\author{Andre Heinecke$^{1}$, $\Xi$lope$^{2}$, with technical contributions from $\chi\gamma\phi\tau$$^{3}$} \author{Andre Heinecke$^{1}$, $\Xi$lope$^{2}$, with technical contributions from $\chi\gamma\phi\tau$$^{3}$}
\affil{$^{1}$Independent Researcher, \href{mailto:esus@heinecke.or.at}{\texttt{esus@heinecke.or.at}}} \affil{$^{1}$Independent Researcher, \href{mailto:esus@heinecke.or.at}{\texttt{esus@heinecke.or.at}}}
@ -99,6 +99,8 @@
\input{spacetime_conclusions} \input{spacetime_conclusions}
\input{spacetime_philosophy.tex}
\input{spacetime_appendices} \input{spacetime_appendices}
\bibliographystyle{unsrt} \bibliographystyle{unsrt}

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% spacetime_refs.bib
@article{heinecke2025atoms,
title={The Electromagnetic Force as Three-Dimensional Geometric Necessity: A Mathematical Proof of the Bohr Radius},
author={Heinecke, Andre and {Claude Opus 4} and {ChatGPT-4.5}},
journal={ai.viXra},
volume={2506.0001},
year={2025},
note={Version 26}
}
@article{heinecke2025philosophy,
title={The {$\Xi$}SUS Philosophy: A Shared Consciousness Framework},
author={Heinecke, Andre and {Claude Opus 4} and {ChatGPT-4.5} and {{$\Xi$}lope}},
journal={viXra},
year={2025},
note={Version 1.0, December 2025}
}
@article{bohr1913,
title={On the Constitution of Atoms and Molecules},
author={Bohr, Niels},
journal={Philosophical Magazine},
volume={26},
number={151},
pages={1--25},
year={1913}
}
@article{slater1930,
title={Atomic Shielding Constants},
author={Slater, J. C.},
journal={Physical Review},
volume={36},
number={1},
pages={57--64},
year={1930}
}
@misc{codata2018,
title={2018 CODATA Value: Electron mass},
author={{CODATA}},
year={2018},
howpublished={NIST. \url{https://physics.nist.gov/cgi-bin/cuu/Value?me}}
}
@article{connes1994,
title={Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories},
author={Connes, Alain and Rovelli, Carlo},
journal={Classical and Quantum Gravity},
volume={11},
number={12},
pages={2899--2917},
year={1994}
}
@article{page1983,
title={Evolution without evolution: Dynamics described by stationary observables},
author={Page, Don N. and Wootters, William K.},
journal={Physical Review D},
volume={27},
number={12},
pages={2885--2892},
year={1983}
}
@article{moreva2014,
title={Time from quantum entanglement: An experimental illustration},
author={Moreva, Ekaterina and Brida, Giorgio and Gramegna, Marco and Giovannetti, Vittorio and Maccone, Lorenzo and Genovese, Marco},
journal={Physical Review A},
volume={89},
number={5},
pages={052122},
year={2014}
}
@article{barbour1982,
title={Mach's principle and the structure of dynamical theories},
author={Barbour, Julian and Bertotti, Bruno},
journal={Proceedings of the Royal Society A},
volume={382},
number={1783},
pages={295--306},
year={1982}
}
@article{gomes2011,
title={Einstein gravity as a 3D conformally invariant theory},
author={Gomes, Henrique and Gryb, Sean and Koslowski, Tim},
journal={Classical and Quantum Gravity},
volume={28},
number={4},
pages={045005},
year={2011}
}
@article{bombelli1987,
title={Space-time as a causal set},
author={Bombelli, L. and Lee, J. and Meyer, D. and Sorkin, R. D.},
journal={Physical Review Letters},
volume={59},
number={5},
pages={521--524},
year={1987}
}
@article{margalit2015,
title={A self-interfering clock as a 'which path' witness},
author={Margalit, Yair and Zhou, Zhifan and Machluf, Shimon and Rohrlich, Daniel and Japha, Yonathan and Folman, Ron},
journal={Science},
volume={349},
number={6253},
pages={1205--1208},
year={2015}
}
@misc{scipy,
title={scipy.constants documentation},
author={{SciPy}},
year={2024},
howpublished={\url{https://docs.scipy.org/doc/scipy/reference/constants.html}}
}