References
Academic works cited across the framework's derivations, predictions, and guide.
Citations in derivation pages link here; external links go to the original papers.
Mathematical Foundations Dixon (1994) Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics Hurwitz (1898) Über die Composition der quadratischen Formen von beliebig vielen Variablen Klein (1884) Vorlesungen über das Ikosaeder Moise (1952) Affine Structures in 3-Manifolds, V. The Triangulation Theorem and Hauptvermutung Moreno (1998) Barker Sequences and Flat Polynomials Smale (1961) Generalized Poincaré's Conjecture in Dimensions Greater than Four Quantum Mechanics Abramsky & Brandenburger (2011) The Sheaf-Theoretic Structure of Non-Locality and Contextuality Aharonov, Albert, Vaidman (1988) How the Result of a Measurement of a Component of the Spin of a Spin-1/2 Particle Can Turn Out to Be 100 Frauchiger-Renner (2018) Quantum Theory Cannot Consistently Describe the Use of Itself Gleason (1957) Measures on the Closed Subspaces of a Hilbert Space Laidlaw-DeWitt (1971) Feynman Functional Integrals for Systems of Indistinguishable Particles Leinaas–Myrheim (1977) On the Theory of Identical Particles Pauli (1940) The Connection Between Spin and Statistics Unruh (1995) Sonic Analogue of Black Holes and the Effects of High Frequencies on Black Hole Evaporation Quantum Information Araki & Lieb (1970) Entropy Inequalities Bennett et al. (1996) Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels Bennett, Bernstein, Popescu, Schumacher (1996) Concentrating Partial Entanglement by Local Operations Bredon (1972) Introduction to Compact Transformation Groups Dennis–Kitaev–Landahl–Preskill (2002) Topological Quantum Memory Fujishige (2005) Submodular Functions and Optimization Gibbons–Hawking–Perry (1978) Path Integrals and the Indefiniteness of the Gravitational Action Groisman et al. (2005) Quantum, Classical, and Total Amount of Correlations in a Quantum State Groisman, Popescu, Winter (2005) Quantum, Classical, and Total Amount of Correlations in a Quantum State Illman (1983) The Equivariant Triangulation Theorem for Actions of Compact Lie Groups Kirby (1978) A Calculus for Framed Links in S³ Lagarias (1999) Geometric Models for Quasicrystals I. Delone Sets of Finite Type Lichnerowicz (1963) Spineurs harmoniques (C. R. Acad. Sci. Paris 257, 7–9) Lickorish (1962) A Representation of Orientable Combinatorial 3-Manifolds Lieb & Ruskai (1973) Proof of the Strong Subadditivity of Quantum-Mechanical Entropy Orlik (1972) Seifert Manifolds Petz (1996) Monotone Metrics on Matrix Spaces Schumacher (1995) Quantum Coding Solomyak (1997) Dynamics of Self-Similar Tilings Wallace (1960) Modifications and Cobounding Manifolds Yukawa (1935) On the Interaction of Elementary Particles. I Field Theory Amari & Nagaoka (2000) Methods of Information Geometry Born (1957) The Born-Einstein Letters Coleman & Weinberg (1973) Radiative Corrections as the Origin of Spontaneous Symmetry Breaking Coleman-Mandula (1967) All Possible Symmetries of the S Matrix Dieks (1982) Communication by EPR Devices Folland & Sitaram (1997) The Uncertainty Principle: A Mathematical Survey Fujikawa (1979) Path-Integral Measure for Gauge-Invariant Fermion Theories Kubo (1957) Statistical-Mechanical Theory of Irreversible Processes. I Machacek & Vaughn (1984) Two-Loop Renormalization Group Equations in a General Quantum Field Theory Morris (1994) The Exact Renormalization Group and Approximate Solutions Moufang (1935) Zur Struktur von Alternativkörpern Petz & Toth (1993) The Bogoliubov Inner Product in Quantum Statistics Pistone & Sempi (1995) An Infinite-Dimensional Geometric Structure on the Space of All the Probability Measures Equivalent to a Given One Rao (1945) Information and the Accuracy Attainable in the Estimation of Statistical Parameters Schlosshauer (2007) Decoherence and the Quantum-to-Classical Transition Wetterich (1993) Exact Evolution Equation for the Effective Potential Wootters & Zurek (1982) A Single Quantum Cannot Be Cloned Zurek (1991) Decoherence and the Transition from Quantum to Classical Spacetime & Geometry Anandan (1988) Geometric Phase for Cyclic Motions and the Quantum State Space Metric Aravind (1997) The Wigner Angle as an Anholonomy in Rapidity Space Ashtekar & Singh (2011) Loop Quantum Cosmology: A Status Report Birkhoff (1923) Relativity and Modern Physics Bombelli et al. (1987) Space-Time as a Causal Set Bombelli, Lee, Meyer, Sorkin (1987) Space-Time as a Causal Set Brans (1994) Localized Exotic Smoothness Brightwell & Gregory (1991) The Structure of Random Discrete Spacetime Brout et al. (1995) A Primer for Black Hole Quantum Physics Choquet-Bruhat (1952) Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires Corley & Jacobson (1996) Hawking Spectrum and High Frequency Dispersion Donaldson (1983) An Application of Gauge Theory to Four-Dimensional Topology Dowker et al. (2004) Causal Set d'Alembertians for Various Dimensions Ehrenfest (1918) In What Way Does It Become Manifest in the Fundamental Laws of Physics That Space Has Three Dimensions? (KNAW Proc. 20, 200–209; presented 1917, republished in Annalen der Physik 366, 440–446, 1920) Freedman (1982) The Topology of Four-Dimensional Manifolds Hawking (1967) The Occurrence of Singularities in Cosmology. III. Causality and Singularities Jacobson (1991) Black-Hole Thermodynamics and the Equivalence Principle Jacobson (1995) Thermodynamics of Spacetime: The Einstein Equation of State Lovelock (1971) The Einstein Tensor and Its Generalizations Penrose (1965) Gravitational Collapse and Space-Time Singularities Rovelli & Vidotto (2014) Planck Stars Tangherlini (1963) Schwarzschild Field in n Dimensions and the Dimensionality of Space Problem Whitrow (1955) Why Physical Space Has Three Dimensions Wilczek (1982) Quantum Mechanics of Fractional-Spin Particles Particle Physics Aharonov and Bohm (1959) Significance of Electromagnetic Potentials in the Quantum Theory Altarelli & Feruglio (2005) Tri-Bimaximal Neutrino Mixing from Discrete Symmetry Baez (2002) The Octonions Cartan (1914) Les groupes réels simples, finis et continus Coleman (1977) Fate of the False Vacuum: Semiclassical Theory DHR (1971) Local Observables and Particle Statistics I Diaconis (1988) Group Representations in Probability and Statistics Diaconis & Shahshahani (1987) The Subgroup Algorithm for Generating Uniform Random Variables Furey (2016) Standard Model Physics from an Algebra? Georgi-Glashow (1974) Unity of All Elementary-Particle Forces Giles (1981) Reconstruction of Gauge Potentials from Wilson Loops Gross & Wilczek (1973) Ultraviolet Behavior of Non-Abelian Gauge Theories Gross-Wilczek-Politzer (1973) Asymptotic Freedom (Gross & Wilczek + Politzer, 1973) King (2013) Neutrino Mass Models Ma (2001) Pathways to Naturally Small Neutrino Masses PDG (2024) Review of Particle Physics (Particle Data Group, 2024) Peccei & Quinn (1977) CP Conservation in the Presence of Pseudoparticles Planck (2018) Planck 2018 Results. VI. Cosmological Parameters Politzer (1973) Reliable Perturbative Results for Strong Interactions? Springer & Veldkamp (2000) Octonions, Jordan Algebras and Exceptional Groups Stoica (2018) The Standard Model Algebra Holography & Black Holes Almheiri et al. (2019) The Entropy of Bulk Quantum Fields and the Entanglement Wedge of an Evaporating Black Hole Almheiri-Dong-Harlow (2015) Bulk Locality and Quantum Error Correction in AdS/CFT AMPS (2012) Black Holes: Complementarity vs. Firewalls Bekenstein (1981) Universal Upper Bound on the Entropy-to-Energy Ratio for Bounded Systems Cunningham–Surya (2019) Dimensionally Restricted Causal Set Quantum Gravity: Examples in Two and Three Dimensions flat-space exclusion via Major–Rideout–Surya (2007)
Gibbons-Hawking (1977) Action Integrals and Partition Functions in Quantum Gravity Hawking–Ellis (1973) The Large Scale Structure of Space-Time Major–Rideout–Surya (2007) On Recovering Continuum Topology from a Causal Set Maldacena & Susskind (2013) Cool Horizons for Entangled Black Holes Morris–Thorne (1988) Wormholes in Spacetime and Their Use for Interstellar Travel: A Tool for Teaching General Relativity Page (1993) Average Entropy of a Subsystem Sekino-Susskind (2008) Fast Scramblers Surya (2008) Causal Set Topology Cosmology 't Hooft (1976) Symmetry Breaking through Bell-Jackiw Anomalies Dev & Mohapatra (2015) TeV Scale Inverse Seesaw in SO(10) and Leptonic Non-Unitarity Effects Klinkhamer & Manton (1984) A Saddle-Point Solution in the Weinberg-Salam Theory Pilaftsis & Underwood (2004) Resonant Leptogenesis Sakharov (1967) Violation of CP Invariance, C Asymmetry, and Baryon Asymmetry of the Universe Tegmark (1997) On the Dimensionality of Spacetime Weinberg (1987) Anthropic Bound on the Cosmological Constant Experimental Abel et al. (2020) Mapping the QCD Phase Diagram from the Lattice: Strong CP Problem Chou et al. (2017) The Holometer: An Instrument to Probe Planckian Quantum Geometry Wu (1957) Experimental Test of Parity Conservation in Beta Decay