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%%% =====================================================================
%%% REFERENCES FOR REFACTORED PAPER
%%% Observer-Conditioned Path Integrals in Causal Set Theory
%%% =====================================================================
%%% --- Original references (retained and verified) ---
@article{Kleitman1975,
title={Asymptotic enumeration of partial orders on a finite set},
author={Kleitman, Daniel J and Rothschild, Bruce L},
journal={Transactions of the American Mathematical Society},
volume={205},
pages={205--220},
year={1975}
}
@article{Loomis2018,
title={Suppression of non-manifold-like sets in the causal set path integral},
author={Loomis, S and Carlip, Steven},
journal={Classical and Quantum Gravity},
volume={35},
number={1},
pages={015009},
year={2018},
publisher={IOP Publishing}
}
@article{Bombelli1987,
title={Space-time as a causal set},
author={Bombelli, Luca and Lee, Joohan and Meyer, David and Sorkin, Rafael D},
journal={Physical Review Letters},
volume={59},
number={5},
pages={521--524},
year={1987},
publisher={APS}
}
@article{Benincasa2010,
title={The Scalar Curvature of a Causal Set},
author={Benincasa, Dionigi MR and Dowker, Fay},
journal={Physical Review Letters},
volume={104},
number={18},
pages={181301},
year={2010},
publisher={APS}
}
@article{Surya2019,
title={The causal set approach to quantum gravity},
author={Surya, Sumati},
journal={Living Reviews in Relativity},
volume={22},
number={1},
pages={5},
year={2019},
publisher={Springer}
}
@article{Sekino2008,
title={Fast scramblers},
author={Sekino, Yasuhiro and Susskind, Leonard},
journal={Journal of High Energy Physics},
volume={2008},
number={10},
pages={065},
year={2008},
publisher={IOP Publishing}
}
@article{Bousso1999,
title={A covariant entropy conjecture},
author={Bousso, Raphael},
journal={Journal of High Energy Physics},
volume={1999},
number={07},
pages={004},
year={1999},
publisher={IOP Publishing}
}
%%% --- New references for the refactored paper ---
@incollection{Sorkin2003,
title={Causal sets: Discrete gravity},
author={Sorkin, Rafael D},
booktitle={Lectures on Quantum Gravity},
pages={305--327},
year={2003},
publisher={Springer}
}
@article{Sorkin2009,
title={Scalar field theory on a causal set in histories form},
author={Sorkin, Rafael D},
journal={Journal of Physics: Conference Series},
volume={306},
pages={012017},
year={2009},
publisher={IOP Publishing}
}
@article{Sorkin1994,
title={Quantum mechanics as quantum measure theory},
author={Sorkin, Rafael D},
journal={Modern Physics Letters A},
volume={9},
number={33},
pages={3119--3127},
year={1994},
publisher={World Scientific}
}
@article{Brightwell1991,
title={Counting antichains in finite partially ordered sets},
author={Brightwell, Graham R},
journal={Order},
volume={8},
number={3},
pages={225--235},
year={1991},
publisher={Springer}
}
@article{Rideout2000,
title={Classical sequential growth dynamics for causal sets},
author={Rideout, David P and Sorkin, Rafael D},
journal={Physical Review D},
volume={61},
number={2},
pages={024002},
year={2000},
publisher={APS}
}
@article{Glaser2018,
title={Finite size scaling in 2d causal set quantum gravity},
author={Glaser, Lisa and Surya, Sumati},
journal={Classical and Quantum Gravity},
volume={35},
number={4},
pages={045006},
year={2018},
publisher={IOP Publishing}
}
@article{Dowker2020,
title={Being and becoming on the road to quantum gravity; or, the birth of a baby is not a baby},
author={Dowker, Fay},
journal={Philosophical Transactions of the Royal Society A},
volume={378},
pages={20190239},
year={2020}
}
@article{Carlip2023,
title={Causal sets: Overview and status},
author={Carlip, Steven},
journal={Journal of Physics: Conference Series},
volume={2533},
pages={012001},
year={2023}
}
@book{Wald1984,
title={General Relativity},
author={Wald, Robert M},
year={1984},
publisher={University of Chicago Press}
}
@article{Hayden2007,
title={Black holes as mirrors: quantum information in random subsystems},
author={Hayden, Patrick and Preskill, John},
journal={Journal of High Energy Physics},
volume={2007},
number={09},
pages={120},
year={2007},
publisher={Springer}
}
@article{Lashkari2013,
title={Towards the fast scrambling conjecture},
author={Lashkari, Nima and Stanford, Douglas and Hastings, Matthew and Osborne, Tobias and Hayden, Patrick},
journal={Journal of High Energy Physics},
volume={2013},
number={4},
pages={22},
year={2013},
publisher={Springer}
}
@article{Hoory2006,
title={Expander graphs and their applications},
author={Hoory, Shlomo and Linial, Nathan and Wigderson, Avi},
journal={Bulletin of the American Mathematical Society},
volume={43},
number={4},
pages={439--561},
year={2006}
}
@book{Chung1997,
title={Spectral Graph Theory},
author={Chung, Fan R K},
year={1997},
publisher={American Mathematical Society},
series={CBMS Regional Conference Series in Mathematics},
volume={92}
}
@article{Cheeger1970,
title={A lower bound for the smallest eigenvalue of the Laplacian},
author={Cheeger, Jeff},
journal={Problems in Analysis},
pages={195--199},
year={1970},
publisher={Princeton University Press}
}
@article{Alon1985,
title={$\lambda_1$, isoperimetric inequalities for graphs, and superconcentrators},
author={Alon, Noga and Milman, Vitali D},
journal={Journal of Combinatorial Theory, Series B},
volume={38},
number={1},
pages={73--88},
year={1985},
publisher={Elsevier}
}
@article{Polya1921,
title={{\"U}ber eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Stra{\ss}ennetz},
author={P{\'o}lya, George},
journal={Mathematische Annalen},
volume={84},
pages={149--160},
year={1921},
publisher={Springer}
}
@book{Lawler2010,
title={Random Walk: A Modern Introduction},
author={Lawler, Gregory F and Limic, Vlada},
year={2010},
publisher={Cambridge University Press}
}
@article{Winkler1985,
title={Random orders},
author={Winkler, Peter M},
journal={Order},
volume={1},
number={4},
pages={317--331},
year={1985},
publisher={Springer}
}
@book{Bollobas2001,
title={Random Graphs},
author={Bollob{\'a}s, B{\'e}la},
edition={2nd},
year={2001},
publisher={Cambridge University Press}
}
@article{tHooft1993,
title={Dimensional reduction in quantum gravity},
author={'t~Hooft, Gerard},
journal={arXiv preprint gr-qc/9310026},
year={1993}
}
@article{Susskind1995,
title={The world as a hologram},
author={Susskind, Leonard},
journal={Journal of Mathematical Physics},
volume={36},
pages={6377--6396},
year={1995},
publisher={AIP}
}
@article{Maldacena1999,
title={The large-{N} limit of superconformal field theories and supergravity},
author={Maldacena, Juan},
journal={International Journal of Theoretical Physics},
volume={38},
number={4},
pages={1113--1133},
year={1999},
publisher={Springer}
}
@article{Carlip2017,
title={Dimension and dimensional reduction in quantum gravity},
author={Carlip, Steven},
journal={Classical and Quantum Gravity},
volume={34},
number={19},
pages={193001},
year={2017},
publisher={IOP Publishing}
}
@article{Calcagni2017,
title={Multifractional theories: an unconventional review},
author={Calcagni, Gianluca},
journal={Journal of High Energy Physics},
volume={2017},
number={3},
pages={138},
year={2017},
publisher={Springer}
}
@article{Kitaev2015,
title={A simple model of quantum holography},
author={Kitaev, Alexei},
journal={KITP Program: Entanglement in Strongly-Correlated Quantum Matter},
year={2015},
note={Talks at KITP, April 7 and May 27, 2015}
}
@article{Maldacena2016,
title={A bound on chaos},
author={Maldacena, Juan and Shenker, Stephen H and Stanford, Douglas},
journal={Journal of High Energy Physics},
volume={2016},
number={8},
pages={106},
year={2016},
publisher={Springer}
}
@article{Roberts2015,
title={Localized shocks},
author={Roberts, Daniel A and Stanford, Douglas and Susskind, Leonard},
journal={Journal of High Energy Physics},
volume={2015},
number={3},
pages={51},
year={2015},
publisher={Springer}
}
@article{Bousso2006,
title={Holographic probabilities in eternal inflation},
author={Bousso, Raphael},
journal={Physical Review Letters},
volume={97},
number={19},
pages={191302},
year={2006},
publisher={APS}
}
@article{Hartle2016,
title={The quasiclassical realms of this quantum universe},
author={Hartle, James B},
journal={Foundations of Physics},
volume={41},
number={6},
pages={982--1006},
year={2011},
publisher={Springer}
}
@article{Gell-Mann1993,
title={Classical equations for quantum systems},
author={Gell-Mann, Murray and Hartle, James B},
journal={Physical Review D},
volume={47},
number={8},
pages={3345},
year={1993},
publisher={APS}
}
@book{Griffiths2002,
title={Consistent Quantum Theory},
author={Griffiths, Robert B},
year={2002},
publisher={Cambridge University Press}
}
@book{Omnes1994,
title={The Interpretation of Quantum Mechanics},
author={Omn{\`e}s, Roland},
year={1994},
publisher={Princeton University Press}
}
@article{Barlow2004,
title={Random walks and heat kernels on graphs},
author={Barlow, Martin T},
journal={London Mathematical Society Lecture Note Series},
volume={438},
year={2017},
publisher={Cambridge University Press}
}
@article{Coulhon2003,
title={Heat kernel estimates and the Green function on infinite graphs},
author={Coulhon, Thierry and Grigor'yan, Alexander},
journal={Annals of Probability},
pages={763--788},
year={2003}
}
@article{Mohar1991,
title={The Laplacian spectrum of graphs},
author={Mohar, Bojan},
journal={Graph Theory, Combinatorics, and Applications},
volume={2},
pages={871--898},
year={1991}
}