A fundamental goal of physics is to explain the broadest range of phenomena with the fewest underlying principles. Remarkably ...

Researchers show that Cartan's First Structure Equation, which relates to edge and screw dislocations in crystal lattices, can be recast in the same form as a basic mathematical formula that governs ...

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They demonstrated that the fields representing the strain generated around lattice dislocations in crystalline materials, modeled by Cartan's First Structure Equation, obey the same equations as ...

Researchers show that Cartan's First Structure Equation links crystal defects to the same mathematical rules governing ...