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math-ph2025
Field Theory via Higher Geometry II: Thickened Smooth Sets as Synthetic Foundations
Grigorios Giotopoulos, Hisham Sati
This is the second in a series of papers that aim to develop rigorous and most encompassing foundations for field theory, where in the first installment, we laid out the natural fo…
math-ph2025
Non-Lagrangian Construction of Anyons via Flux Quantization in Cohomotopy
Hisham Sati, Urs Schreiber
We provide a brief invitation to the novel understanding of anyonic topological order in fractional quantum (anomalous) Hall systems, via "extraordinary" quantization of effective…
math-ph2025
Field Theory via Higher Geometry I: Smooth Sets of Fields
Grigorios Giotopoulos, Hisham Sati
Most modern theoretical considerations of the physical world suggest that nature is: (1) field-theoretic, (2) smooth, (3) local, (4) gauged, (5) containing fermions, and (6) non-pe…