% LFM Research BibTeX Library
% Comprehensive citation database for Lattice Field Medium papers
% Version: 1.0.0
% Last Updated: 2025-11-18
%
% Three-Tier System:
% 1. Foundational Citations (REQUIRED)
% 2. Methodological Citations (REQUIRED IF USED)
% 3. Related Work Citations (RECOMMENDED)

%% =================================================================
%% TIER 1: FOUNDATIONAL CITATIONS (REQUIRED)
%% =================================================================

% Klein-Gordon Equation (ABSOLUTELY REQUIRED)
% Note: Use Klein1926 and Gordon1926 (capitalized) as citation keys

% General Relativity
@article{einstein1915,
  author = {Einstein, Albert},
  title = {Die Feldgleichungen der Gravitation},
  journal = {Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften},
  pages = {844--847},
  year = {1915}
}

% Quantum Mechanics
@article{schrodinger1926,
  author = {Schrödinger, Erwin},
  title = {Quantisierung als Eigenwertproblem},
  journal = {Annalen der Physik},
  volume = {384},
  pages = {361--376},
  year = {1926},
  doi = {10.1002/andp.19263840404}
}

@article{heisenberg1927,
  author = {Heisenberg, Werner},
  title = {Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik},
  journal = {Zeitschrift für Physik},
  volume = {43},
  pages = {172--198},
  year = {1927},
  doi = {10.1007/BF01397280}
}

% Quantum Mechanics Interpretations
@article{debroglie1927,
  author = {de Broglie, Louis},
  title = {La mécanique ondulatoire et la structure atomique de la matière et du rayonnement},
  journal = {Journal de Physique et le Radium},
  volume = {8},
  pages = {225--241},
  year = {1927},
  doi = {10.1051/jphysrad:0192700805022500}
}

@article{bohm1952,
  author = {Bohm, David},
  title = {A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I},
  journal = {Physical Review},
  volume = {85},
  pages = {166--179},
  year = {1952},
  doi = {10.1103/PhysRev.85.166}
}

@article{everett1957,
  author = {Everett, Hugh},
  title = {"Relative State" Formulation of Quantum Mechanics},
  journal = {Reviews of Modern Physics},
  volume = {29},
  pages = {454--462},
  year = {1957},
  doi = {10.1103/RevModPhys.29.454}
}

@article{bell1964,
  author = {Bell, John S.},
  title = {On the Einstein Podolsky Rosen Paradox},
  journal = {Physics},
  volume = {1},
  pages = {195--200},
  year = {1964},
  doi = {10.1103/PhysicsPhysiqueFizika.1.195}
}

@article{zurek2003,
  author = {Zurek, Wojciech H.},
  title = {Decoherence, einselection, and the quantum origins of the classical},
  journal = {Reviews of Modern Physics},
  volume = {75},
  pages = {715--775},
  year = {2003},
  doi = {10.1103/RevModPhys.75.715}
}

% Deterministic Quantum Mechanics Approaches
@book{thooft2016,
  author = {'t Hooft, Gerard},
  title = {The Cellular Automaton Interpretation of Quantum Mechanics},
  publisher = {Springer},
  year = {2016},
  doi = {10.1007/978-3-319-41285-6},
  isbn = {978-3-319-41284-9}
}

@book{adler2004,
  author = {Adler, Stephen L.},
  title = {Quantum Theory as an Emergent Phenomenon: The Statistical Mechanics of Matrix Models as the Precursor of Quantum Field Theory},
  publisher = {Cambridge University Press},
  year = {2004},
  isbn = {978-0-521-83194-9},
  doi = {10.1017/CBO9780511535277}
}

@article{nelson1966,
  author = {Nelson, Edward},
  title = {Derivation of the Schrödinger Equation from Newtonian Mechanics},
  journal = {Physical Review},
  volume = {150},
  pages = {1079--1085},
  year = {1966},
  doi = {10.1103/PhysRev.150.1079}
}

% Electromagnetism
@article{maxwell1865,
  author = {Maxwell, James Clerk},
  title = {A Dynamical Theory of the Electromagnetic Field},
  journal = {Philosophical Transactions of the Royal Society of London},
  volume = {155},
  pages = {459--512},
  year = {1865},
  doi = {10.1098/rstl.1865.0008}
}

% Statistical Mechanics
@article{boltzmann1877,
  author = {Boltzmann, Ludwig},
  title = {Über die Beziehung zwischen dem zweiten Hauptsatze der mechanischen Wärmetheorie und der Wahrscheinlichkeitsrechnung},
  journal = {Wiener Berichte},
  volume = {76},
  pages = {373--435},
  year = {1877}
}

% Loschmidt's Paradox (Reversibility Objection)
@article{loschmidt1876,
  author = {Loschmidt, Josef},
  title = {Über den Zustand des Wärmegleichgewichtes eines Systems von Körpern mit Rücksicht auf die Schwerkraft},
  journal = {Wiener Berichte},
  volume = {73},
  pages = {128--142},
  year = {1876}
}

%% =================================================================
%% TIER 2: METHODOLOGICAL CITATIONS (REQUIRED IF USED)
%% =================================================================

% LFM Self-Citation (Our Own Work) - Manifesto/Overview Document
@misc{partin2025lfm,
  author = {Partin, Greg D.},
  title = {Computational Unification of Fundamental Forces: Lattice Field Medium Framework Demonstrating Emergent Gravity, Quantum, Electromagnetic, and Thermodynamic Phenomena from Single Discrete Equation},
  year = {2025},
  publisher = {Zenodo},
  doi = {10.5281/zenodo.17618474},
  url = {https://doi.org/10.5281/zenodo.17618474}
}

% LFM Paper 003: Galaxy-scale gravity and lensing
@misc{PartinPaper003,
  author = {Partin, Greg D.},
  title = {Galaxy-Scale Validation of $\chi$-Mediated Gravity: Rotation Curves, Weak Lensing, and Strong-Lensing Time Delays},
  year = {2025},
  publisher = {Zenodo},
  doi = {10.5281/zenodo.18142944},
  url = {https://doi.org/10.5281/zenodo.18142944},
  note = {LFM-PAPER-003}
}

% Precision optical clock comparisons
@article{chou2010,
  author = {Chou, C. W. and Hume, D. B. and Rosenband, T. and Wineland, D. J.},
  title = {Optical Clocks and Relativity},
  journal = {Science},
  volume = {329},
  number = {5999},
  pages = {1630--1633},
  year = {2010},
  doi = {10.1126/science.1192720}
}

% LFM Paper 034: Chi reconstruction and c_eff closure
@misc{PartinPaper034,
  author = {Partin, Greg D.},
  title = {Parameter-Free $\chi$ Reconstruction and $c_{\rm eff}$ Closure in Galaxy Rotation Curves},
  year = {2025},
  publisher = {Zenodo},
  note = {LFM-PAPER-034}
}

% LFM Paper 035: Merger-scale validation
@misc{PartinPaper035,
  author = {Partin, Greg D.},
  title = {Merger-Scale Validation of $\chi$-Mediated Gravity: Galaxy Cluster Offsets and Mass Profiles},
  year = {2025},
  publisher = {Zenodo},
  note = {LFM-PAPER-035}
}

% LFM Paper 036: Cosmological consistency
@misc{PartinPaper036,
  author = {Partin, Greg D.},
  title = {Cosmological Consistency of $\chi$-Mediated Gravity: Gravitational Wave Speed and Pulsar Timing},
  year = {2025},
  publisher = {Zenodo},
  note = {LFM-PAPER-036}
}

% Leapfrog Integration
@article{verlet1967,
  author = {Verlet, Loup},
  title = {Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules},
  journal = {Physical Review},
  volume = {159},
  pages = {98--103},
  year = {1967},
  doi = {10.1103/PhysRev.159.98}
}

%% =================================================================
%% ADDITIONAL CITATIONS FOR PAPER-038 (BTFR CONSTRAINT PAPER)
%% =================================================================

@article{TullyFisher1977,
  author = {Tully, R. Brent and Fisher, J. Richard},
  title = {A new method of determining distances to galaxies},
  journal = {Astronomy and Astrophysics},
  volume = {54},
  pages = {661--673},
  year = {1977}
}

@article{McGaugh2000,
  author = {McGaugh, Stacy S. and Schombert, James M. and Bothun, Gregory D. and de Blok, W. J. G.},
  title = {The Baryonic Tully-Fisher Relation},
  journal = {Astrophysical Journal Letters},
  volume = {533},
  pages = {L99--L102},
  year = {2000},
  doi = {10.1086/312628}
}

@article{Lelli2019,
  author = {Lelli, Federico and McGaugh, Stacy S. and Schombert, James M. and Pawlowski, Marcel S.},
  title = {The baryonic Tully-Fisher relation for different velocity definitions and implications for galaxy angular momentum},
  journal = {Monthly Notices of the Royal Astronomical Society},
  volume = {484},
  pages = {3267--3278},
  year = {2019},
  doi = {10.1093/mnras/stz205}
}

@article{Famaey2012,
  author = {Famaey, Benoit and McGaugh, Stacy S.},
  title = {Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions},
  journal = {Living Reviews in Relativity},
  volume = {15},
  pages = {10},
  year = {2012},
  doi = {10.12942/lrr-2012-10}
}

%% =================================================================
%% ADDITIONAL CITATIONS FOR PAPER-033
%% =================================================================

@article{Rubin1970,
  author = {Rubin, Vera C. and Ford, W. Kent},
  title = {Rotation of the Andromeda Nebula from a Spectroscopic Survey of Emission Regions},
  journal = {Astrophysical Journal},
  volume = {159},
  pages = {379--403},
  year = {1970}
}

@article{Rubin1980,
  author = {Rubin, Vera C. and Ford, W. Kent and Thonnard, Norbert},
  title = {Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605 (R = 4kpc) to UGC 2885 (R = 122 kpc)},
  journal = {Astrophysical Journal},
  volume = {238},
  pages = {471--487},
  year = {1980}
}

@article{Bosma1981,
  author = {Bosma, Albert},
  title = {21-cm line studies of spiral galaxies. II. The distribution and kinematics of neutral hydrogen in spiral galaxies of various morphological types},
  journal = {Astronomical Journal},
  volume = {86},
  pages = {1825--1846},
  year = {1981}
}

@article{Navarro1996,
  author = {Navarro, Julio F. and Frenk, Carlos S. and White, Simon D. M.},
  title = {The Structure of Cold Dark Matter Halos},
  journal = {Astrophysical Journal},
  volume = {462},
  pages = {563--575},
  year = {1996},
  doi = {10.1086/177173}
}

@article{Milgrom1983,
  author = {Milgrom, Mordehai},
  title = {A Modification of the Newtonian Dynamics as a Possible Alternative to the Hidden Mass Hypothesis},
  journal = {Astrophysical Journal},
  volume = {270},
  pages = {365--370},
  year = {1983},
  doi = {10.1086/161130}
}

@article{Lelli2016,
  author = {Lelli, Federico and McGaugh, Stacy S. and Schombert, James M.},
  title = {SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves},
  journal = {Astronomical Journal},
  volume = {152},
  pages = {157},
  year = {2016},
  doi = {10.3847/0004-6256/152/6/157}
}

@article{McGaugh2016,
  author = {McGaugh, Stacy S. and Lelli, Federico and Schombert, James M.},
  title = {Radial Acceleration Relation in Rotationally Supported Galaxies},
  journal = {Physical Review Letters},
  volume = {117},
  pages = {201101},
  year = {2016},
  doi = {10.1103/PhysRevLett.117.201101}
}

@article{Sanders1999,
  author = {Sanders, R. H.},
  title = {The Virial Discrepancy in Clusters of Galaxies in the Context of Modified Newtonian Dynamics},
  journal = {Astrophysical Journal Letters},
  volume = {512},
  pages = {L23--L26},
  year = {1999},
  doi = {10.1086/311856}
}

@article{Hernandez2023,
  author = {Hernandez, X. and Cort{\'e}s, R. A. M. and Allen, C. and Scarpa, R.},
  title = {Internal kinematics of Gaia DR3 wide binaries: anomalous behaviour in the low acceleration regime},
  journal = {Monthly Notices of the Royal Astronomical Society},
  volume = {519},
  pages = {1844--1856},
  year = {2023},
  doi = {10.1093/mnras/stac3483}
}

@article{PlanckCollaboration2018,
  author = {Planck Collaboration},
  title = {Planck 2018 Results. VI. Cosmological Parameters},
  journal = {Astronomy and Astrophysics},
  volume = {641},
  pages = {A6},
  year = {2020},
  doi = {10.1051/0004-6361/201833910}
}

@article{Abbott2017,
  author = {Abbott, B. P. and others},
  title = {GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral},
  journal = {Physical Review Letters},
  volume = {119},
  pages = {161101},
  year = {2017},
  doi = {10.1103/PhysRevLett.119.161101}
}

@article{Bundy2015,
  author = {Bundy, Kevin and others},
  title = {Overview of the SDSS-IV MaNGA Survey},
  journal = {Astrophysical Journal},
  volume = {798},
  pages = {7},
  year = {2015},
  doi = {10.1088/0004-637X/798/1/7}
}

@article{Chae2020,
  author = {Chae, Kyu-Hyun and others},
  title = {Testing the Strong Equivalence Principle: Detection of the External Field Effect in Rotationally Supported Galaxies},
  journal = {Astrophysical Journal},
  volume = {904},
  pages = {51},
  year = {2020},
  doi = {10.3847/1538-4357/abc623}
}

@article{DESI2024,
  author = {DESI Collaboration},
  title = {DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations},
  journal = {arXiv preprint arXiv:2404.03002},
  year = {2024}
}

@article{JWST2024,
  author = {JWST CEERS and JADES Teams},
  title = {High-Redshift Rotation Curves from JWST NIRSpec IFU},
  journal = {Astrophysical Journal},
  note = {submitted},
  year = {2024}
}

@article{Kennicutt1998,
  author = {Kennicutt, Robert C.},
  title = {The Global Schmidt Law in Star-forming Galaxies},
  journal = {Astrophysical Journal},
  volume = {498},
  pages = {541--552},
  year = {1998},
  doi = {10.1086/305588}
}

@article{Partin2024,
  author = {Partin, Greg D.},
  title = {Emergent Gravitational Phenomena from Discrete Klein-Gordon Dynamics},
  journal = {Monthly Notices of the Royal Astronomical Society},
  note = {in preparation},
  year = {2024}
}

@article{Riess2022,
  author = {Riess, Adam G. and others},
  title = {A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty},
  journal = {Astrophysical Journal Letters},
  volume = {934},
  pages = {L7},
  year = {2022},
  doi = {10.3847/2041-8213/ac5c5b}
}

% Original Dark Energy Discovery Papers
@article{Riess1998,
  author = {Riess, Adam G. and others},
  title = {Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant},
  journal = {Astronomical Journal},
  volume = {116},
  pages = {1009--1038},
  year = {1998},
  doi = {10.1086/300499}
}

@article{Perlmutter1999,
  author = {Perlmutter, Saul and others},
  title = {Measurements of Omega and Lambda from 42 High-Redshift Supernovae},
  journal = {Astrophysical Journal},
  volume = {517},
  pages = {565--586},
  year = {1999},
  doi = {10.1086/307221}
}

@article{Weinberg1989,
  author = {Weinberg, Steven},
  title = {The Cosmological Constant Problem},
  journal = {Reviews of Modern Physics},
  volume = {61},
  pages = {1--23},
  year = {1989},
  doi = {10.1103/RevModPhys.61.1}
}

@article{RosenbaumRubin1983,
  author = {Rosenbaum, Paul R. and Rubin, Donald B.},
  title = {The Central Role of the Propensity Score in Observational Studies for Causal Effects},
  journal = {Biometrika},
  volume = {70},
  pages = {41--55},
  year = {1983},
  doi = {10.1093/biomet/70.1.41}
}

@article{Skordis2006,
  author = {Skordis, Constantinos and others},
  title = {Large Scale Structure in Bekenstein's Theory of Relativistic Modified Newtonian Dynamics},
  journal = {Physical Review Letters},
  volume = {96},
  pages = {011301},
  year = {2006},
  doi = {10.1103/PhysRevLett.96.011301}
}

@article{Tegmark2004,
  author = {Tegmark, Max and others},
  title = {Cosmological Parameters from SDSS and WMAP},
  journal = {Physical Review D},
  volume = {69},
  pages = {103501},
  year = {2004},
  doi = {10.1103/PhysRevD.69.103501}
}

@article{SDSS2024,
  author = {SDSS Collaboration},
  title = {SDSS Data Release 18},
  journal = {Astrophysical Journal Supplement},
  note = {in press},
  year = {2024}
}

@article{Gordon1926,
  author = {Gordon, Walter},
  title = {Der Comptoneffekt nach der Schrodingerschen Theorie},
  journal = {Zeitschrift fur Physik},
  volume = {40},
  pages = {117--133},
  year = {1926}
}

@article{Klein1926,
  author = {Klein, Oskar},
  title = {Quantentheorie und funfdimensionale Relativitatstheorie},
  journal = {Zeitschrift fur Physik},
  volume = {37},
  pages = {895--906},
  year = {1926}
}

@article{Undagoitia2016,
  author = {Undagoitia, T. Marrodan and Rauch, Lutz},
  title = {Dark Matter Direct-Detection Experiments},
  journal = {Journal of Physics G},
  volume = {43},
  pages = {013001},
  year = {2016},
  doi = {10.1088/0954-3899/43/1/013001}
}

% Symplectic Integration Methods
@book{hairer2006,
  author = {Hairer, Ernst and Lubich, Christian and Wanner, Gerhard},
  title = {Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations},
  publisher = {Springer},
  year = {2006},
  edition = {2nd},
  isbn = {978-3-540-30663-4},
  doi = {10.1007/3-540-30666-8}
}

% Lattice Gauge Theory
@article{wilson1974,
  author = {Wilson, Kenneth G.},
  title = {Confinement of Quarks},
  journal = {Physical Review D},
  volume = {10},
  pages = {2445--2459},
  year = {1974},
  doi = {10.1103/PhysRevD.10.2445}
}

% Perfectly Matched Layer (PML) absorbing boundaries
@article{berenger1994,
  author = {Berenger, Jean-Pierre},
  title = {A perfectly matched layer for the absorption of electromagnetic waves},
  journal = {Journal of Computational Physics},
  volume = {114},
  pages = {185--200},
  year = {1994}
}

% Finite Difference Methods
@book{strikwerda2004,
  author = {Strikwerda, John C.},
  title = {Finite Difference Schemes and Partial Differential Equations},
  publisher = {SIAM},
  year = {2004},
  edition = {2nd},
  doi = {10.1137/1.9780898717938}
}

% Numerical Partial Differential Equations
@book{leveque2007,
  author = {LeVeque, Randall J.},
  title = {Finite Difference Methods for Ordinary and Partial Differential Equations},
  publisher = {SIAM},
  year = {2007},
  doi = {10.1137/1.9780898717839}
}

%% =================================================================
%% TIER 3: RELATED WORK CITATIONS (RECOMMENDED)
%% =================================================================

% Emergent Gravity
@article{verlinde2011,
  author = {Verlinde, Erik},
  title = {On the Origin of Gravity and the Laws of Newton},
  journal = {Journal of High Energy Physics},
  volume = {2011},
  number = {4},
  pages = {29},
  year = {2011},
  doi = {10.1007/JHEP04(2011)029},
  arxiv = {1001.0785}
}

@article{sakharov1968,
  author = {Sakharov, Andrei D.},
  title = {Vacuum quantum fluctuations in curved space and the theory of gravitation},
  journal = {Soviet Physics Doklady},
  volume = {12},
  pages = {1040--1041},
  year = {1968}
}

% String theory (standard reference)
@book{stringtheory,
  author = {Polchinski, Joseph},
  title = {String Theory, Volume 1: An Introduction to the Bosonic String},
  publisher = {Cambridge University Press},
  year = {1998}
}

% Lattice QCD
@article{creutz1980,
  author = {Creutz, Michael},
  title = {Monte Carlo Study of Quantized SU(2) Gauge Theory},
  journal = {Physical Review D},
  volume = {21},
  pages = {2308--2315},
  year = {1980},
  doi = {10.1103/PhysRevD.21.2308}
}

% Causal Sets / Discrete Spacetime
@article{bombelli1987,
  author = {Bombelli, L. and Lee, J. and Meyer, D. and Sorkin, R. D.},
  title = {Space-time as a causal set},
  journal = {Physical Review Letters},
  volume = {59},
  pages = {521--524},
  year = {1987},
  doi = {10.1103/PhysRevLett.59.521}
}

% Loop Quantum Gravity
@book{rovelli2004,
  author = {Rovelli, Carlo},
  title = {Quantum Gravity},
  publisher = {Cambridge University Press},
  year = {2004},
  doi = {10.1017/CBO9780511755804}
}

% Emergence and Complexity
@article{anderson1972,
  author = {Anderson, P. W.},
  title = {More is Different},
  journal = {Science},
  volume = {177},
  pages = {393--396},
  year = {1972},
  doi = {10.1126/science.177.4047.393}
}

% Thermodynamics and Arrow of Time
@book{prigogine1980,
  author = {Prigogine, Ilya},
  title = {From Being to Becoming: Time and Complexity in the Physical Sciences},
  publisher = {W. H. Freeman},
  year = {1980},
  isbn = {0716711087}
}

@book{penrose1989,
  author = {Penrose, Roger},
  title = {The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics},
  publisher = {Oxford University Press},
  year = {1989},
  isbn = {0198519737}
}

@article{lebowitz1993,
  author = {Joel L. Lebowitz},
  title = {Boltzmann's Entropy and Time's Arrow},
  journal = {Physics Today},
  year = {1993},
  volume = {46},
  pages = {32--38}
}

% Fluctuation Theorems
@article{jarzynski1997,
  author = {Jarzynski, Christopher},
  title = {Nonequilibrium Equality for Free Energy Differences},
  journal = {Physical Review Letters},
  volume = {78},
  pages = {2690--2693},
  year = {1997},
  doi = {10.1103/PhysRevLett.78.2690}
}

@article{crooks1999,
  author = {Crooks, Gavin E.},
  title = {Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences},
  journal = {Physical Review E},
  volume = {60},
  pages = {2721--2726},
  year = {1999},
  doi = {10.1103/PhysRevE.60.2721}
}

% Stochastic Thermodynamics
@book{sekimoto2010,
  author = {Sekimoto, Ken},
  title = {Stochastic Energetics},
  series = {Lecture Notes in Physics},
  volume = {799},
  publisher = {Springer},
  year = {2010},
  doi = {10.1007/978-3-642-05411-2}
}

% Chaotic Dynamics and Thermodynamics
@book{dorfman1999,
  author = {Dorfman, J. Robert},
  title = {An Introduction to Chaos in Nonequilibrium Statistical Mechanics},
  publisher = {Cambridge University Press},
  year = {1999},
  doi = {10.1017/CBO9780511628870}
}

% Cosmology and Arrow of Time
@book{carroll2010,
  author = {Carroll, Sean M.},
  title = {From Eternity to Here: The Quest for the Ultimate Theory of Time},
  publisher = {Dutton},
  year = {2010},
  isbn = {0525951334}
}

%% =================================================================
%% ELECTROMAGNETISM-SPECIFIC CITATIONS
%% =================================================================

% Hertz Experiments
@article{hertz1887,
  author = {Hertz, Heinrich},
  title = {Ueber sehr schnelle elektrische Schwingungen},
  journal = {Annalen der Physik},
  volume = {267},
  pages = {421--448},
  year = {1887},
  doi = {10.1002/andp.18872670707}
}

% Gauge Theory Foundations
@article{weyl1929,
  author = {Weyl, Hermann},
  title = {Elektron und Gravitation. I},
  journal = {Zeitschrift für Physik},
  volume = {56},
  pages = {330--352},
  year = {1929},
  doi = {10.1007/BF01339504}
}

@article{yang1954,
  author = {Yang, C. N. and Mills, R. L.},
  title = {Conservation of Isotopic Spin and Isotopic Gauge Invariance},
  journal = {Physical Review},
  volume = {96},
  pages = {191--195},
  year = {1954},
  doi = {10.1103/PhysRev.96.191}
}

% Feynman Quantum Electrodynamics
@article{feynman1949,
  author = {Feynman, Richard P.},
  title = {Space-Time Approach to Quantum Electrodynamics},
  journal = {Physical Review},
  volume = {76},
  pages = {769--789},
  year = {1949},
  doi = {10.1103/PhysRev.76.769}
}

% FDTD Method
@article{yee1966,
  author = {Yee, Kane},
  title = {Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media},
  journal = {IEEE Transactions on Antennas and Propagation},
  volume = {14},
  pages = {302--307},
  year = {1966},
  doi = {10.1109/TAP.1966.1138693}
}

@book{taflove2005,
  author = {Taflove, Allen and Hagness, Susan C.},
  title = {Computational Electrodynamics: The Finite-Difference Time-Domain Method},
  publisher = {Artech House},
  year = {2005},
  edition = {3rd},
  isbn = {978-1580538329}
}

% Courant-Friedrichs-Lewy Condition
@article{courant1928,
  author = {Courant, R. and Friedrichs, K. and Lewy, H.},
  title = {Über die partiellen Differenzengleichungen der mathematischen Physik},
  journal = {Mathematische Annalen},
  volume = {100},
  pages = {32--74},
  year = {1928},
  doi = {10.1007/BF01448839}
}

% Absorbing Boundary Conditions
@article{engquistmajda1977,
  author = {Engquist, Bjorn and Majda, Andrew},
  title = {Absorbing Boundary Conditions for the Numerical Simulation of Waves},
  journal = {Mathematics of Computation},
  volume = {31},
  number = {139},
  pages = {629--651},
  year = {1977},
  doi = {10.1090/S0025-5718-1977-0436612-4}
}

% Quantum Mechanics Textbook
@book{griffiths2018,
  author = {Griffiths, David J. and Schroeter, Darrell F.},
  title = {Introduction to Quantum Mechanics},
  publisher = {Cambridge University Press},
  year = {2018},
  edition = {3rd},
  isbn = {978-1107189638}
}

% Special Relativity
@article{einstein1905,
  author = {Einstein, Albert},
  title = {Zur Elektrodynamik bewegter Körper},
  journal = {Annalen der Physik},
  volume = {322},
  pages = {891--921},
  year = {1905},
  doi = {10.1002/andp.19053221004}
}

% Weinberg-Salam Electroweak Theory
@article{glashow1961,
  author = {Glashow, Sheldon L.},
  title = {Partial Symmetries of Weak Interactions},
  journal = {Nuclear Physics},
  volume = {22},
  pages = {579--588},
  year = {1961},
  doi = {10.1016/0029-5582(61)90469-2}
}

% BCS Theory (Superconductivity)
@article{bardeen1957,
  author = {Bardeen, John and Cooper, Leon N. and Schrieffer, J. Robert},
  title = {Theory of Superconductivity},
  journal = {Physical Review},
  volume = {108},
  pages = {1175--1204},
  year = {1957},
  doi = {10.1103/PhysRev.108.1175}
}

% Topological Order
@article{wen2004,
  author = {Wen, Xiao-Gang},
  title = {Quantum Field Theory of Many-Body Systems},
  journal = {Oxford University Press},
  year = {2004},
  isbn = {978-0199227259}
}

% Jain Composite Fermions
@article{jain1989,
  author = {Jain, J. K.},
  title = {Composite-fermion approach for the fractional quantum Hall effect},
  journal = {Physical Review Letters},
  volume = {63},
  pages = {199--202},
  year = {1989},
  doi = {10.1103/PhysRevLett.63.199}
}

% String Theory (already defined as stringtheory, aliasing for consistency)
@book{polchinski1998,
  author = {Polchinski, Joseph},
  title = {String Theory, Volume 1: An Introduction to the Bosonic String},
  publisher = {Cambridge University Press},
  year = {1998},
  isbn = {978-0521633031}
}

% LFM Self-Citation (alias for consistency)
@misc{partin2025,
  author = {Partin, Greg D.},
  title = {Computational Unification of Fundamental Forces: Lattice Field Medium Framework},
  year = {2025},
  publisher = {Zenodo},
  doi = {10.5281/zenodo.17618474},
  url = {https://doi.org/10.5281/zenodo.17618474},
  note = {Comprehensive validation suite with 105 computational tests}
}

% NumPy
@article{numpy,
  author = {Harris, Charles R. and Millman, K. Jarrod and van der Walt, Stéfan J. and others},
  title = {Array programming with NumPy},
  journal = {Nature},
  volume = {585},
  pages = {357--362},
  year = {2020},
  doi = {10.1038/s41586-020-2649-2}
}

% CuPy
@inproceedings{cupy,
  author = {Okuta, Ryosuke and Unno, Yuya and Nishino, Daisuke and Hido, Shohei and Loomis, Crissman},
  title = {CuPy: A NumPy-Compatible Library for NVIDIA GPU Calculations},
  booktitle = {Proceedings of Workshop on Machine Learning Systems (LearningSys) in The Thirty-first Annual Conference on Neural Information Processing Systems (NIPS)},
  year = {2017},
  url = {http://learningsys.org/nips17/assets/papers/paper_16.pdf}
}

%% =================================================================
%% PLACEHOLDER: ADD MORE CITATIONS AS NEEDED
%% =================================================================

% Galaxy Cluster Mergers and Dark Matter Evidence
@article{Markevitch2004,
  author = {Markevitch, M. and Gonzalez, A. H. and David, L. and Vikhlinin, A. and Murray, S. and Forman, W. and Jones, C. and Tucker, W.},
  title = {Direct Constraints on the Dark Matter Self-Interaction Cross Section from the Merging Galaxy Cluster 1E 0657-56},
  journal = {The Astrophysical Journal},
  volume = {606},
  pages = {819--824},
  year = {2004},
  doi = {10.1086/383178}
}

@article{Clowe2006,
  author = {Clowe, Douglas and Bradač, Maruša and Gonzalez, Anthony H. and Markevitch, Maxim and Randall, Scott W. and Jones, Christine and Zaritsky, Dennis},
  title = {A Direct Empirical Proof of the Existence of Dark Matter},
  journal = {The Astrophysical Journal Letters},
  volume = {648},
  pages = {L109--L113},
  year = {2006},
  doi = {10.1086/508162}
}

@article{Bradac2008,
  author = {Bradač, M. and Allen, S. W. and Treu, T. and Ebeling, H. and Massey, R. and Morris, R. G. and von der Linden, A. and Applegate, D.},
  title = {Revealing the Properties of Dark Matter in the Merging Cluster MACS J0025.4-1222},
  journal = {The Astrophysical Journal},
  volume = {687},
  pages = {959--967},
  year = {2008},
  doi = {10.1086/591246}
}

@article{Merten2011,
  author = {Merten, Julian and Coe, Dan and Dupke, Renato and Massey, Richard and Zitrin, Adi and Cypriano, Eduardo S. and Okabe, Nobuhiro and Frye, Brenda and Braglia, Fabio G. and Jiménez-Teja, Yolanda and Benítez, Narciso and Broadhurst, Tom and Rhodes, Jason and Meneghetti, Massimo and Moustakas, Leonidas A. and Sodré, Laerte and Krick, Jessica and Bregman, Joel N.},
  title = {Creation of Cosmic Structure in the Complex Galaxy Cluster Merger Abell 2744},
  journal = {Monthly Notices of the Royal Astronomical Society},
  volume = {417},
  pages = {333--347},
  year = {2011},
  doi = {10.1111/j.1365-2966.2011.19266.x}
}

@article{Limousin2012,
  author = {Limousin, M. and Ebeling, H. and Richard, J. and Swinbank, A. M. and Smith, G. P. and Jauzac, M. and Czoske, O. and Smail, I. and Jullo, E. and Kneib, J.-P. and Edge, A. C. and Rexroth, M.},
  title = {Strong Lensing by a Node of the Cosmic Web: The Core of MACS J0717.5+3745 at z = 0.55},
  journal = {Astronomy \& Astrophysics},
  volume = {544},
  pages = {A71},
  year = {2012},
  doi = {10.1051/0004-6361/201117921}
}

@article{Mahdavi2007,
  author = {Mahdavi, Andisheh and Hoekstra, Henk and Babul, Arif and Balam, David D. and Capak, Peter L.},
  title = {A Dark Core in Abell 520},
  journal = {The Astrophysical Journal},
  volume = {668},
  pages = {806--814},
  year = {2007},
  doi = {10.1086/521383}
}

@article{Russell2012,
  author = {Russell, H. R. and Sanders, J. S. and Fabian, A. C. and Baum, S. A. and Donahue, M. and Edge, A. C. and McNamara, B. R. and O'Dea, C. P.},
  title = {Shock Fronts, Electron-Ion Equilibration and ICM Transport Properties in the Merging Cluster Abell 2146},
  journal = {Monthly Notices of the Royal Astronomical Society},
  volume = {423},
  pages = {236--255},
  year = {2012},
  doi = {10.1111/j.1365-2966.2012.20808.x}
}

@article{Okabe2008,
  author = {Okabe, N. and Umetsu, K.},
  title = {Subaru Weak Lensing Survey of Dark Matter Subhalos in the Coma Cluster},
  journal = {Publications of the Astronomical Society of Japan},
  volume = {60},
  pages = {345--359},
  year = {2008},
  doi = {10.1093/pasj/60.2.345}
}

@article{Jee2015,
  author = {Jee, M. James and Dawson, William A. and Stroe, Andra and Wittman, David and van Weeren, Reinout J. and Brüggen, Marcus and Bradač, Maruša and Röttgering, Huub and Sobral, David},
  title = {MC2: Galaxy Imaging and Redshift Analysis of the Merging Cluster CIZA J2242.8+5301},
  journal = {The Astrophysical Journal},
  volume = {802},
  pages = {46},
  year = {2015},
  doi = {10.1088/0004-637X/802/1/46}
}

@article{Golovich2017,
  author = {Golovich, Nathan and van Weeren, Reinout J. and Dawson, William A. and Jee, M. James and Wittman, David},
  title = {Merging Cluster Collaboration: A Panchromatic Atlas of Radio Relic Mergers},
  journal = {The Astrophysical Journal},
  volume = {838},
  pages = {110},
  year = {2017},
  doi = {10.3847/1538-4357/aa667f}
}

@article{MonteiroOliveira2017,
  author = {Monteiro-Oliveira, R. and Cypriano, E. S. and Machado, R. E. G. and Lima Neto, G. B. and Ribeiro, A. L. B. and Sodré, L.},
  title = {MACS J0416.1-2403: Impact of a Major Merger on Cluster Dynamics},
  journal = {Monthly Notices of the Royal Astronomical Society},
  volume = {466},
  pages = {2614--2633},
  year = {2017},
  doi = {10.1093/mnras/stw3238}
}

@article{Joffre2000,
  author = {Joffre, M. and Fischer, P. and Frieman, J. and Johnston, D. and McKay, T. and Mohr, J. and Nichol, R. and Sheldon, E. and Stebbins, A. and Annis, J. and Bahcall, N. and Brinkmann, J. and Csabai, I. and Gunn, J. and Hennessy, G. and Hindsley, R. and Ivezić, Ž. and Kent, S. and Lamb, D. Q. and Lupton, R. and Munn, J. and Szalay, A. and York, D.},
  title = {Weak Gravitational Lensing by a Sample of X-Ray Luminous Clusters of Galaxies},
  journal = {The Astrophysical Journal},
  volume = {534},
  pages = {L131--L134},
  year = {2000},
  doi = {10.1086/312649}
}

@article{Radovich2008,
  author = {Radovich, M. and Puddu, E. and Romano, A. and Grado, A. and Getman, F.},
  title = {Weak Lensing Study of A1703, Abell 383 and Abell 209},
  journal = {Astronomy \& Astrophysics},
  volume = {487},
  pages = {55--66},
  year = {2008},
  doi = {10.1051/0004-6361:200809700}
}

%% =================================================================
%% COSMOLOGICAL AND STRONG-FIELD CITATIONS
%% =================================================================

% Will 2014 - Tests of General Relativity
@article{Will2014,
  author = {Will, Clifford M.},
  title = {The Confrontation between General Relativity and Experiment},
  journal = {Living Reviews in Relativity},
  volume = {17},
  pages = {4},
  year = {2014},
  doi = {10.12942/lrr-2014-4}
}

% Cyburt 2016 - BBN Review
@article{Cyburt2016,
  author = {Cyburt, Richard H. and Fields, Brian D. and Olive, Keith A. and Yeh, Tsung-Han},
  title = {Big Bang Nucleosynthesis: Present status},
  journal = {Reviews of Modern Physics},
  volume = {88},
  pages = {015004},
  year = {2016},
  doi = {10.1103/RevModPhys.88.015004}
}

% Planck 2020 - Cosmological Parameters
@article{Planck2020,
  author = {{Planck Collaboration}},
  title = {Planck 2018 results. VI. Cosmological parameters},
  journal = {Astronomy \& Astrophysics},
  volume = {641},
  pages = {A6},
  year = {2020},
  doi = {10.1051/0004-6361/201833910}
}

% BOSS 2017 - BAO Measurements
@article{BOSS2017,
  author = {Alam, Shadab and others},
  title = {The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey},
  journal = {Monthly Notices of the Royal Astronomical Society},
  volume = {470},
  pages = {2617--2652},
  year = {2017},
  doi = {10.1093/mnras/stx721}
}

% Pantheon Supernova Sample
@article{Scolnic2018,
  author = {Scolnic, Daniel M. and others},
  title = {The Complete Light-curve Sample of Spectroscopically Confirmed SNe Ia from Pan-STARRS1 and Cosmological Constraints from the Combined Pantheon Sample},
  journal = {Astrophysical Journal},
  volume = {859},
  pages = {101},
  year = {2018},
  doi = {10.3847/1538-4357/aab9bb}
}

% Cosmic Chronometers
@article{Moresco2022,
  author = {Moresco, Michele and others},
  title = {A 6\% measurement of the Hubble parameter at $z \sim 0.45$: direct evidence of the epoch of cosmic re-acceleration},
  journal = {Journal of Cosmology and Astroparticle Physics},
  volume = {2022},
  number = {05},
  pages = {014},
  year = {2022},
  doi = {10.1088/1475-7516/2022/05/014}
}

% Weisberg 2016 - Binary Pulsar Timing
@article{Weisberg2016,
  author = {Weisberg, Joel M. and Huang, Yuping},
  title = {Relativistic Measurements from Timing the Binary Pulsar PSR B1913+16},
  journal = {The Astrophysical Journal},
  volume = {829},
  pages = {55},
  year = {2016},
  doi = {10.3847/0004-637X/829/1/55}
}

% Nested Sampling - Skilling 2006
@incollection{Skilling2006,
  author = {Skilling, John},
  title = {Nested Sampling for General Bayesian Computation},
  booktitle = {Bayesian Analysis},
  volume = {1},
  number = {4},
  pages = {833--860},
  year = {2006},
  doi = {10.1214/06-BA127}
}

% Sandage Test - Redshift Drift
@article{Sandage1962,
  author = {Sandage, Allan},
  title = {The Change of Redshift and Apparent Luminosity of Galaxies due to the Deceleration of Selected Expanding Universes},
  journal = {The Astrophysical Journal},
  volume = {136},
  pages = {319},
  year = {1962},
  doi = {10.1086/147385}
}

%% =================================================================
%% DARK MATTER FOUNDATIONAL CITATIONS (LFM-PAPER-044)
%% =================================================================

% Zwicky 1933 - English translation/review
@article{Zwicky1933,
  author = {Zwicky, Fritz},
  title = {The Redshift of Extragalactic Nebulae},
  journal = {Helvetica Physica Acta},
  volume = {6},
  pages = {110--127},
  year = {1933},
  note = {English abstract available; observations of Coma cluster mass discrepancy}
}

% McGaugh 2012 - BTFR
@article{McGaugh2012,
  author = {McGaugh, Stacy S.},
  title = {The Baryonic Tully-Fisher Relation of Gas-Rich Galaxies as a Test of $\Lambda$CDM and MOND},
  journal = {The Astronomical Journal},
  volume = {143},
  number = {2},
  pages = {40},
  year = {2012},
  doi = {10.1088/0004-6256/143/2/40}
}

% Bolton 2008 - SLACS Survey
@article{Bolton2008,
  author = {Bolton, Adam S. and Burles, Scott and Koopmans, Leon V. E. and Treu, Tommaso and others},
  title = {The Sloan Lens ACS Survey. V. The Full ACS Strong-Lens Sample},
  journal = {The Astrophysical Journal},
  volume = {682},
  number = {2},
  pages = {964--984},
  year = {2008},
  doi = {10.1086/589327}
}

% Planck 2016 - Clusters
@article{Planck2016,
  author = {{Planck Collaboration}},
  title = {Planck 2015 Results. XXIV. Cosmology from Sunyaev-Zeldovich Cluster Counts},
  journal = {Astronomy \& Astrophysics},
  volume = {594},
  pages = {A24},
  year = {2016},
  doi = {10.1051/0004-6361/201525833}
}

% McConnachie 2012 - Dwarf Galaxies
@article{McConnachie2012,
  author = {McConnachie, Alan W.},
  title = {The Observed Properties of Dwarf Galaxies in and around the Local Group},
  journal = {The Astronomical Journal},
  volume = {144},
  number = {1},
  pages = {4},
  year = {2012},
  doi = {10.1088/0004-6256/144/1/4}
}

% Gaia DR3 - Wide Binaries
@article{GaiaDR3,
  author = {{Gaia Collaboration} and Vallenari, A. and Brown, A. G. A. and others},
  title = {Gaia Data Release 3: Summary of the Content and Survey Properties},
  journal = {Astronomy \& Astrophysics},
  volume = {674},
  pages = {A1},
  year = {2023},
  doi = {10.1051/0004-6361/202243940}
}

% van Dokkum 2018 - UDGs
@article{vanDokkum2018,
  author = {van Dokkum, Pieter and Danieli, Shany and Cohen, Yotam and others},
  title = {A Galaxy Lacking Dark Matter},
  journal = {Nature},
  volume = {555},
  pages = {629--632},
  year = {2018},
  doi = {10.1038/nature25767}
}

% de Blok 2010 - Core-Cusp
@article{deBlok2010,
  author = {de Blok, W. J. G.},
  title = {The Core-Cusp Problem},
  journal = {Advances in Astronomy},
  volume = {2010},
  pages = {789293},
  year = {2010},
  doi = {10.1155/2010/789293}
}

% Hui 2017 - Fuzzy Dark Matter
@article{Hui2017,
  author = {Hui, Lam and Ostriker, Jeremiah P. and Tremaine, Scott and Witten, Edward},
  title = {Ultralight Scalars as Cosmological Dark Matter},
  journal = {Physical Review D},
  volume = {95},
  pages = {043541},
  year = {2017},
  doi = {10.1103/PhysRevD.95.043541}
}

% JWST 2023 - Early Galaxies
@article{JWST2023,
  author = {Labb{\'e}, Ivo and van Dokkum, Pieter and Nelson, Erica and others},
  title = {A Population of Red Candidate Massive Galaxies $\sim$600 Myr after the Big Bang},
  journal = {Nature},
  volume = {616},
  pages = {266--269},
  year = {2023},
  doi = {10.1038/s41586-023-05786-2}
}

%% =================================================================
%% LFM SELF-CITATIONS (Zenodo DOIs)
%% =================================================================

@article{PartinPaper001,
  author = {Partin, Greg D.},
  title = {Emergent Quantum Phenomena from Lattice Field Medium Dynamics},
  journal = {Preprint (Zenodo)},
  year = {2025},
  doi = {10.5281/zenodo.17618474},
  note = {LFM-PAPER-001}
}

@article{PartinPaper004,
  author = {Partin, Greg D.},
  title = {Emergent Electromagnetism in the Lattice Field Medium Framework},
  journal = {Preprint (Zenodo)},
  year = {2025},
  doi = {10.5281/zenodo.17618474},
  note = {LFM-PAPER-004}
}

@article{PartinPaper033,
  author = {Partin, Greg D.},
  title = {SPARC Galaxy Rotation Curve Analysis in the LFM Framework},
  journal = {Preprint (Zenodo)},
  year = {2026},
  doi = {10.5281/zenodo.18142944},
  note = {LFM-PAPER-033}
}

@article{PartinPaper037,
  author = {Partin, Greg D.},
  title = {Thermodynamic Emergence in the Lattice Field Medium},
  journal = {Preprint (Zenodo)},
  year = {2026},
  doi = {10.5281/zenodo.18142944},
  note = {LFM-PAPER-037}
}

@article{PartinPaper043,
  author = {Partin, Greg D.},
  title = {Gravitational Time Dilation and Low-Acceleration Dynamics in the LFM Framework},
  journal = {Preprint (Zenodo)},
  year = {2026},
  note = {LFM-PAPER-043, DOI pending}
}

% TODO: Add citations for:
% - Specific lattice QCD review papers
% - Computational cosmology simulations
% - Cellular automata work (if relevant)
% - Quantum field theory textbooks (Peskin & Schroeder, Weinberg)
% - Numerical relativity papers
% - Related emergent phenomena work
% - Competing unified theories (string theory, etc.)
%% =================================================================
%% GRAVITATIONAL TIME DILATION (LFM-PAPER-043)
%% =================================================================

% GPS Relativistic Effects - Ashby 2003
@article{ashby2003,
  author = {Ashby, Neil},
  title = {Relativity in the Global Positioning System},
  journal = {Living Reviews in Relativity},
  volume = {6},
  number = {1},
  pages = {1},
  year = {2003},
  doi = {10.12942/lrr-2003-1}
}

% Pound-Rebka Experiment 1960
@article{pound1960,
  author = {Pound, R. V. and Rebka, G. A.},
  title = {Apparent Weight of Photons},
  journal = {Physical Review Letters},
  volume = {4},
  number = {7},
  pages = {337--341},
  year = {1960},
  doi = {10.1103/PhysRevLett.4.337}
}