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Shadow Theory

Bibliography

Bibliography

From A Source-to-Readout Architecture for a Theory of Everything, Version 1.0 (July 2026) · doi:10.5281/zenodo.21366204

External references support imported Tier-1 mathematics and physics only; they do not constitute evidence for Shadow-specific claims.

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  1. Ky Fan, “Fixed-Point and Minimax Theorems in Locally Convex Topological Linear Spaces,” Proceedings of the National Academy of Sciences 38 (1952), 121–126.
  1. Shizuo Kakutani, “A Generalization of Brouwer’s Fixed Point Theorem,” Duke Mathematical Journal 8 (1941), 457–459.
  1. Irving L. Glicksberg, “A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points,” Proceedings of the American Mathematical Society 3 (1952), 170–174.
  1. Rudolf Haag and Daniel Kastler, “An Algebraic Approach to Quantum Field Theory,” Journal of Mathematical Physics 5 (1964), 848–861.
  1. Romeo Brunetti, Klaus Fredenhagen, and Rainer Verch, “The Generally Covariant Locality Principle—A New Paradigm for Local Quantum Physics,” Communications in Mathematical Physics 237 (2003), 31–68; arXiv:math-ph/0112041.
  1. Romeo Brunetti and Klaus Fredenhagen, “Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds,” Communications in Mathematical Physics 208 (2000), 623–661.
  1. Stefan Hollands and Robert M. Wald, “Local Wick Polynomials and Time Ordered Products of Quantum Fields in Curved Spacetime,” Communications in Mathematical Physics 223 (2001), 289–326; arXiv:gr-qc/0103074.
  1. Stefan Hollands and Robert M. Wald, “Existence of Local Covariant Time Ordered Products of Quantum Fields in Curved Spacetime,” Communications in Mathematical Physics 231 (2002), 309–345; arXiv:gr-qc/0111108.
  1. Stefan Hollands and Robert M. Wald, “Conservation of the Stress Tensor in Perturbative Interacting Quantum Field Theory in Curved Spacetimes,” Reviews in Mathematical Physics 17 (2005), 227–312; arXiv:gr-qc/0404074.
  1. Marek J. Radzikowski, “Micro-Local Approach to the Hadamard Condition in Quantum Field Theory on Curved Space-Time,” Communications in Mathematical Physics 179 (1996), 529–553.
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  1. Carlo Becchi, Alain Rouet, and Raymond Stora, “Renormalization of Gauge Theories,” Annals of Physics 98 (1976), 287–321.
  1. Katarzyna Rejzner, “Remarks on Local Symmetry Invariance in Perturbative Algebraic Quantum Field Theory,” Annales Henri Poincaré 16 (2015), 205–238; arXiv:1301.7037.
  1. Katarzyna Rejzner, Perturbative Algebraic Quantum Field Theory: An Introduction for Mathematicians, Mathematical Physics Studies, Springer, 2016.
  1. Julius Wess and Bruno Zumino, “Consequences of Anomalous Ward Identities,” Physics Letters B 37 (1971), 95–97.
  1. Edward Witten, “An SU(2) Anomaly,” Physics Letters B 117 (1982), 324–328.
  1. Edward B. Davies and John T. Lewis, “An Operational Approach to Quantum Probability,” Communications in Mathematical Physics 17 (1970), 239–260.
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  1. Robert M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, University of Chicago Press, 1994.
  1. Robert M. Wald, “The Back Reaction Effect in Particle Creation in Curved Spacetime,” Communications in Mathematical Physics 54 (1977), 1–19.
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  1. Simon Kochen and Ernst P. Specker, “The Problem of Hidden Variables in Quantum Mechanics,” Journal of Mathematics and Mechanics 17 (1967), 59–87.
  1. Robert W. Spekkens, “Contextuality for Preparations, Transformations, and Unsharp Measurements,” Physical Review A 71 (2005), 052108.
  1. Ravi Kunjwal and Robert W. Spekkens, “From the Kochen–Specker Theorem to Noncontextuality Inequalities without Assuming Determinism,” Physical Review Letters 115 (2015), 110403.
  1. Wojciech H. Zurek, “Decoherence, Einselection, and the Quantum Origins of the Classical,” Reviews of Modern Physics 75 (2003), 715–775.
  1. Harold Ollivier, David Poulin, and Wojciech H. Zurek, “Objective Properties from Subjective Quantum States: Environment as a Witness,” Physical Review Letters 93 (2004), 220401.
  1. David B. Malament, “The Class of Continuous Timelike Curves Determines the Topology of Spacetime,” Journal of Mathematical Physics 18 (1977), 1399–1404.
  1. S. W. Hawking, A. R. King, and P. J. McCarthy, “A New Topology for Curved Space-Time Which Incorporates the Causal, Differential, and Conformal Structures,” Journal of Mathematical Physics 17 (1976), 174–181.
  1. Luca Bombelli, Joohan Lee, David Meyer, and Rafael D. Sorkin, “Space-Time as a Causal Set,” Physical Review Letters 59 (1987), 521–524.
  1. Sumati Surya, “The Causal Set Approach to Quantum Gravity,” Living Reviews in Relativity 22 (2019), article 5; arXiv:1903.11544.
  1. Dionigi M. T. Benincasa and Fay Dowker, “The Scalar Curvature of a Causal Set,” Physical Review Letters 104 (2010), 181301.
  1. Jan Ambjørn, Jerzy Jurkiewicz, and Renate Loll, “Spectral Dimension of the Universe,” Physical Review Letters 95 (2005), 171301.
  1. John F. Donoghue, “General Relativity as an Effective Field Theory: The Leading Quantum Corrections,” Physical Review D 50 (1994), 3874–3888.
  1. Marc Henneaux and Claudio Teitelboim, “The Cosmological Constant and General Covariance,” Physics Letters B 222 (1989), 195–199.
  1. Wilfried Buchmüller and Norbert Dragon, “The Cosmological Constant as a Boundary Term,” Journal of High Energy Physics 08 (2022), 167; arXiv:2203.15714.
  1. Nemanja Kaloper, Antonio Padilla, David Stefanyszyn, and George Zahariade, “A Manifestly Local Theory of Vacuum Energy Sequestering,” Physical Review Letters 116 (2016), 051302; arXiv:1505.01492. Cited as a contrasting mechanism, not as the Henneaux–Teitelboim result used here.
  1. Luis Alvarez-Gaumé and Edward Witten, “Gravitational Anomalies,” Nuclear Physics B 234 (1984), 269–330.
  1. Joe Davighi, Ben Gripaios, and Nakarin Lohitsiri, “Global Anomalies in the Standard Model(s) and Beyond,” Journal of High Energy Physics 07 (2020), 232; arXiv:1910.11277.
  1. David Tong, “Line Operators in the Standard Model,” Journal of High Energy Physics 2017(07), 104; arXiv:1705.01853.
  1. Steven Weinberg, “Baryon- and Lepton-Nonconserving Processes,” Physical Review Letters 43 (1979), 1566–1570.
  1. Steven Weinberg, “Phenomenological Lagrangians,” Physica A 96 (1979), 327–340.
  1. Peter Minkowski, “μ→eγ\mu\to e\gamma at a Rate of One out of 10910^9 Muon Decays?,” Physics Letters B 67 (1977), 421–428.
  1. Roberto D. Peccei and Helen R. Quinn, “CP Conservation in the Presence of Pseudoparticles,” Physical Review Letters 38 (1977), 1440–1443.
  1. Marie E. Machacek and Michael T. Vaughn, “Two-Loop Renormalization Group Equations in a General Quantum Field Theory. I. Wave Function Renormalization,” Nuclear Physics B 222 (1983), 83–103.
  1. Thomas Appelquist and J. Carazzone, “Infrared Singularities and Massive Fields,” Physical Review D 11 (1975), 2856–2861.
  1. James M. Bardeen, “Gauge-Invariant Cosmological Perturbations,” Physical Review D 22 (1980), 1882–1905.
  1. Hideo Kodama and Misao Sasaki, “Cosmological Perturbation Theory,” Progress of Theoretical Physics Supplement 78 (1984), 1–166.
  1. Chung-Pei Ma and Edmund Bertschinger, “Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges,” Astrophysical Journal 455 (1995), 7–25; arXiv:astro-ph/9506072.
  1. Uroš Seljak and Matias Zaldarriaga, “A Line-of-Sight Integration Approach to Cosmic Microwave Background Anisotropies,” Astrophysical Journal 469 (1996), 437–444.
  1. Antony Lewis, Anthony Challinor, and Anthony Lasenby, “Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann–Robertson–Walker Models,” Astrophysical Journal 538 (2000), 473–476.
  1. Lev Kofman, Andrei Linde, and Alexei A. Starobinsky, “Reheating after Inflation,” Physical Review Letters 73 (1994), 3195–3198.
  1. Andrei D. Sakharov, “Violation of CP Invariance, C Asymmetry, and Baryon Asymmetry of the Universe,” JETP Letters 5 (1967), 24–27.
  1. Masataka Fukugita and Tsutomu Yanagida, “Baryogenesis without Grand Unification,” Physics Letters B 174 (1986), 45–47.
  1. Cyril Pitrou, Alain Coc, Jean-Philippe Uzan, and Elisabeth Vangioni, “Precision Big Bang Nucleosynthesis with Improved Helium-4 Predictions,” Physics Reports 754 (2018), 1–66.
  1. P. J. E. Peebles, “Recombination of the Primeval Plasma,” Astrophysical Journal 153 (1968), 1–11.
  1. Giulia Gubitosi, Federico Piazza, and Filippo Vernizzi, “The Effective Field Theory of Dark Energy,” Journal of Cosmology and Astroparticle Physics 02 (2013), 032.
  1. Emilio Bellini and Ignacy Sawicki, “Maximal Freedom at Minimum Cost: Linear Large-Scale Structure in General Modifications of Gravity,” Journal of Cosmology and Astroparticle Physics 07 (2014), 050.
  1. Claude E. Shannon, “A Mathematical Theory of Communication,” Bell System Technical Journal 27 (1948), 379–423 and 623–656.
  1. John von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press, 1955 (original German edition 1932).
  1. Göran Lindblad, “Completely Positive Maps and Entropy Inequalities,” Communications in Mathematical Physics 40 (1975), 147–151.
  1. Christian Bär, Nicolas Ginoux, and Frank Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization, European Mathematical Society, 2007.
  1. Stanislas Dehaene, Claire Sergent, and Jean-Pierre Changeux, “A Neuronal Network Model Linking Subjective Reports and Objective Physiological Data during Conscious Perception,” Proceedings of the National Academy of Sciences 100 (2003), 8520–8525.
  1. Masafumi Oizumi, Larissa Albantakis, and Giulio Tononi, “From the Phenomenology to the Mechanisms of Consciousness: Integrated Information Theory 3.0,” PLoS Computational Biology 10 (2014), e1003588.
  1. Adrien Doerig, Aaron Schurger, Kathryn Hess, and Michael H. Herzog, “The Unfolding Argument: Why IIT and Other Causal Structure Theories Cannot Explain Consciousness,” Consciousness and Cognition 72 (2019), 49–59.
  1. Matthias Bartelmann and Peter Schneider, “Weak Gravitational Lensing,” Physics Reports 340 (2001), 291–472; arXiv:astro-ph/9912508.
  1. Antony Lewis and Anthony Challinor, “Weak Gravitational Lensing of the CMB,” Physics Reports 429 (2006), 1–65; arXiv:astro-ph/0601594.
  1. Brian A. Nosek, Charles R. Ebersole, Alexander C. DeHaven, and David T. Mellor, “The Preregistration Revolution,” Proceedings of the National Academy of Sciences 115 (2018), 2600–2606.
  1. Julian Schwinger, “Brownian Motion of a Quantum Oscillator,” Journal of Mathematical Physics 2 (1961), 407–432.
  1. L. V. Keldysh, “Diagram Technique for Nonequilibrium Processes,” Soviet Physics JETP 20 (1965), 1018–1026.
  1. James W. York, Jr., “Role of Conformal Three-Geometry in the Dynamics of Gravitation,” Physical Review Letters 28 (1972), 1082–1085.
  1. G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Physical Review D 15 (1977), 2752–2756.
  1. Johan Noldus, “A Lorentzian Gromov–Hausdorff Notion of Distance,” Classical and Quantum Gravity 21 (2004), 839–850; arXiv:gr-qc/0308074.
  1. Luca Bombelli and Johan Noldus, “The Moduli Space of Isometry Classes of Globally Hyperbolic Spacetimes,” Classical and Quantum Gravity 21 (2004), 4429–4454; arXiv:gr-qc/0402049.
  1. Fan R. K. Chung, Spectral Graph Theory, CBMS Regional Conference Series in Mathematics 92, American Mathematical Society, 1997.