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.

123
References
121
With links
57
Citing pages
9
Categories

Mathematical Foundations

Dixon (1994) Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics
Klein (1884) Vorlesungen über das Ikosaeder
Moise (1952) Affine Structures in 3-Manifolds, V. The Triangulation Theorem and Hauptvermutung
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
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
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

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