GEWU № 01Science magazine
Physics · Featured research
Researchers at Gewu turn the zero-field energy spectrum of a finite Ising model into a counting problem on its connectivity graph, and prove that a class of periodic square lattices has exactly one fewer energy level than lattice sites.
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As noninteracting fermion chains grow longer, their best dissipation–precision measure can fall nearly as the inverse square of their length. A new theoretical proof explains the limits of this improvement—and reveals the price the contacts must pay to maintain the flow.
Zhiyuan Yao · 15 min readJournal
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Exact finite-size statistical mechanics of uniform Ising lattices
The paper proves that unsatisfied Ising bonds are edge cuts of the down-spin set, turning the full finite-lattice level spectrum into a graph cut-size spectrum. It derives parity, edge-connectivity and bipartite-symmetry laws, level-count formulas, exact algorithms and exhaustive checks, while retaining the stated asymptotic and hardness limitations.
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Proves real stability of layer-refined antichain polynomials for three-chain products with a two-element factor.
Read the paper and summaryConstructs type-voltage covers and finite locally Kneser graphs.
Read the paper and summaryConstructs and diagonalizes an all-dimensional Bezoutian extension and derives transformation formulas for Gram forms. It does not construct nonlinear interaction algebras in arbitrary dimensions.
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