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quant-ph2026
Finite-Resolution Limits on Quantum Uniqueness
Seramika Ariwahjoedi, Sameer Ahmad Mir, Mir Faizal
The Stone-von Neumann theorem makes canonical quantization unique only after one imposes strong continuity of the Weyl translation groups. We show that this continuity assumption c…
math-ph2026
Generalized Fourier Transforms for Momentum-Space Construction on Riemannian Manifolds
Seramika Ariwahjoedi, Muhammad Farchani Rosyid, Andika Kusuma Wijaya
We extend Fourier analysis to curved spaces by defining a Generalized Fourier Transform (GFT) on any Riemannian manifold via spectral decomposition. Under minimal requirements…