1 min spectral theory structured matrices research notes
From Gershgorin Discs to Cassini Ovals in a Weyl Matrix
Why pairwise eigenvalue localisation is a useful next step for structured matrices in general relativity.
Blog
Notes on physics, on poems, and on whatever sits between them. Posts are in English or Chinese, whichever fits.
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5 min singular perturbations electrodynamics numerical validation
Not Every Breakdown Is Quantum
An exact Gaussian benchmark separates a singular classical approximation from the onset of quantum radiation reaction.
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18 min differential geometry holonomy geometric control 中文
What a Lollipop Taught Me About Geometry
A friend asked whether you could lick a round lollipop into the shape of the Earth. The optimal strategy turns out to be one line long, and getting there cost me a week of minimising the wrong thing.
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8 min Gaussian states symplectic dynamics quantum information
Can Gravity Entangle Two Masses? First Decide Which Question You Mean
A Gaussian calculation separates mathematical existence, physical attribution, and experimental feasibility.
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1 min quantum foundations division algebras real quantum theory
Real Quantum Theory Is Mostly a Question about Composition
The modern real-versus-complex debate turns on how independently prepared systems combine.
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7 min quantum walks quantum algorithms spectral graph theory
A Quantum Walk Remembers Which Paths Interfered
Why unitary walks spread ballistically, how the coin controls symmetry, and what changes on a graph.
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6 min angular momentum Lie algebras representation theory
Why Rotation Symmetry Quantizes Angular Momentum
From noncommuting rotations and finite ladders to spherical harmonics, spin, and the hydrogen spectrum.
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6 min phase space deformation quantization semiclassical analysis
Quantum Mechanics Without Leaving Phase Space
The Weyl–Wigner dictionary, why multiplication becomes a star product, and what coarse-graining really does to the classical limit.