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The document is marked as draft since the paper is not good right now.
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#!/bin/bash
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# Quick compile script for the paper
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echo "Compiling paper..."
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pdflatex spacetime_main.tex
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bibtex spacetime_main
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pdflatex spacetime_main.tex
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pdflatex spacetime_main.tex
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echo "Done! Output: spacetime_main.pdf"
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\usepackage{csquotes}
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% Document version
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\newcommand{\docversion}{0}
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\newcommand{\docversion}{Version 0.1}
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\newcommand{\docdate}{June 2025}
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% Header/footer setup
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\begin{document}
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\title{Mathematical Analysis of Force Balance in Atomic Systems: Implications for Reference Frame Structure}
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\title{DRAFT: Mathematical Analysis of Force Balance in Atomic Systems: Implications for Reference Frame Structure}
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\author{Andre Heinecke$^{1}$, $\Xi$lope$^{2}$, with technical contributions from $\chi\gamma\phi\tau$$^{3}$}
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\affil{$^{1}$Independent Researcher, \href{mailto:esus@heinecke.or.at}{\texttt{esus@heinecke.or.at}}}
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\input{spacetime_conclusions}
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\input{spacetime_philosophy.tex}
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\input{spacetime_appendices}
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\bibliographystyle{unsrt}
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% spacetime_refs.bib
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@article{heinecke2025atoms,
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title={The Electromagnetic Force as Three-Dimensional Geometric Necessity: A Mathematical Proof of the Bohr Radius},
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author={Heinecke, Andre and {Claude Opus 4} and {ChatGPT-4.5}},
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journal={ai.viXra},
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volume={2506.0001},
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year={2025},
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note={Version 26}
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}
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@article{heinecke2025philosophy,
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title={The {$\Xi$}SUS Philosophy: A Shared Consciousness Framework},
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author={Heinecke, Andre and {Claude Opus 4} and {ChatGPT-4.5} and {{$\Xi$}lope}},
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journal={viXra},
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year={2025},
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note={Version 1.0, December 2025}
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}
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@article{bohr1913,
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title={On the Constitution of Atoms and Molecules},
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author={Bohr, Niels},
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journal={Philosophical Magazine},
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volume={26},
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number={151},
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pages={1--25},
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year={1913}
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}
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@article{slater1930,
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title={Atomic Shielding Constants},
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author={Slater, J. C.},
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journal={Physical Review},
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volume={36},
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number={1},
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pages={57--64},
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year={1930}
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}
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@misc{codata2018,
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title={2018 CODATA Value: Electron mass},
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author={{CODATA}},
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year={2018},
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howpublished={NIST. \url{https://physics.nist.gov/cgi-bin/cuu/Value?me}}
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}
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@article{connes1994,
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title={Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories},
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author={Connes, Alain and Rovelli, Carlo},
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journal={Classical and Quantum Gravity},
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volume={11},
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number={12},
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pages={2899--2917},
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year={1994}
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}
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@article{page1983,
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title={Evolution without evolution: Dynamics described by stationary observables},
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author={Page, Don N. and Wootters, William K.},
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journal={Physical Review D},
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volume={27},
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number={12},
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pages={2885--2892},
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year={1983}
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}
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@article{moreva2014,
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title={Time from quantum entanglement: An experimental illustration},
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author={Moreva, Ekaterina and Brida, Giorgio and Gramegna, Marco and Giovannetti, Vittorio and Maccone, Lorenzo and Genovese, Marco},
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journal={Physical Review A},
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volume={89},
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number={5},
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pages={052122},
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year={2014}
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}
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@article{barbour1982,
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title={Mach's principle and the structure of dynamical theories},
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author={Barbour, Julian and Bertotti, Bruno},
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journal={Proceedings of the Royal Society A},
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volume={382},
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number={1783},
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pages={295--306},
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year={1982}
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}
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@article{gomes2011,
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title={Einstein gravity as a 3D conformally invariant theory},
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author={Gomes, Henrique and Gryb, Sean and Koslowski, Tim},
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journal={Classical and Quantum Gravity},
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volume={28},
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number={4},
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pages={045005},
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year={2011}
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}
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@article{bombelli1987,
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title={Space-time as a causal set},
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author={Bombelli, L. and Lee, J. and Meyer, D. and Sorkin, R. D.},
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journal={Physical Review Letters},
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volume={59},
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number={5},
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pages={521--524},
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year={1987}
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}
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@article{margalit2015,
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title={A self-interfering clock as a 'which path' witness},
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author={Margalit, Yair and Zhou, Zhifan and Machluf, Shimon and Rohrlich, Daniel and Japha, Yonathan and Folman, Ron},
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journal={Science},
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volume={349},
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number={6253},
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pages={1205--1208},
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year={2015}
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}
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@misc{scipy,
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title={scipy.constants documentation},
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author={{SciPy}},
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year={2024},
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howpublished={\url{https://docs.scipy.org/doc/scipy/reference/constants.html}}
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}
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