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physics & quantum
Mathematical Representations of Quantum Gravity
13 papers · full PDFs hosted on-site.
| # | Paper | |
|---|---|---|
| 01 | A Fixed Point in Theory Space: Asymptotic Safety as the Renormalization-Group Completion Regime of a Modular Reconstruction Program | PDF ↗ |
| 02 | Observables as Cohomology: BV--BRST Complexes and Derived Critical Loci as the Gauge Layer of Reconstructed Spacetime | PDF ↗ |
| 03 | The Flat-Space S-Matrix as Conformal Data on the Celestial Sphere: Mellin Bases, Asymptotic Symmetries, and Soft Theorems as Ward Identities as the Boundary Layer of Reconstructed Spacetime | PDF ↗ |
| 04 | Gravity as the Square of Gauge Theory: Color--Kinematics Duality, the Double Copy, and the KLT Kernel as the Reconstruction Layer of Perturbative Spacetime | PDF ↗ |
| 05 | Observables from Gluing: Factorization Algebras, Cosheaves, and the Local-to-Global Reconstruction of Quantum Observables | PDF ↗ |
| 06 | The Solution Stack of General Relativity: Diffeomorphism Equivalence, Isotropy, and the Classical Geometry Regime of a Reconstruction Program | PDF ↗ |
| 07 | Geometry as a Theorem About an Algebra: Spectral Triples, the Connes Distance Formula, and the Reconstruction of Metric Spacetime from Spectral Data | PDF ↗ |
| 08 | Amplitudes as Canonical Forms: Positive Geometries, Residue Trees, and the Conjectural Bridge to Motivic Coactions as the Amplitude Layer of Reconstructed Spacetime | PDF ↗ |
| 09 | Causal Order as Representation Data: Process Matrices, Causal Inequalities, and Locally Finite Posets as Reconstructions of Causality | PDF ↗ |
| 10 | Covariant Quantum Geometry as a State Sum: Spin Foams, Vertex Amplitudes, and the Refinement Problem of Boundary Amplitudes | PDF ↗ |
| 11 | Quantum Spatial Geometry as Representation Data: Spin Networks, Intertwiners, and the Geometric Operators of the Boundary Hilbert Space | PDF ↗ |
| 12 | A Modular Site of Reconstruction Regimes: Twelve Representations of Quantum Gravity and the Weakest-Link Calculus that Composes Them | PDF ↗ |
| 13 | Many Boundary Representatives, One Bulk Operator: Tensor Networks, Operator-Algebra Quantum Error Correction, and the Holographic-Emergence Regime of a Reconstruction Program | PDF ↗ |