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In the toric setting many of the complicated definitions of K-stability simplify to be given by data on the moment polytope of the polarised toric variety (,). First it is known that to test K-stability, it is enough to consider toric test configurations , where the total space of the test configuration is also a toric variety.
electric dipole moment A measure of the separation of positive and negative electric charges within an electrical system, i.e. a measure of the system's overall electrical polarity. The SI unit for measuring electric dipole moment is the coulomb-metre (C⋅m), but the debye (D), a non-SI unit, is also widely used in chemistry and atomic physics.
This conjecture sits uncomfortably with the linearity of quantum mechanics. An entangled state is a linear superposition of separable states. Presumably, separable states are not connected by any wormholes, but yet a superposition of such states is connected by a wormhole.
tameness conjecture: geometric topology: ⇒Ahlfors measure conjecture: 2008: Avraham Trahtman: Road coloring conjecture: graph theory: 2008: Chandrashekhar Khare and Jean-Pierre Wintenberger: Serre's modularity conjecture: modular forms: 2009: Jeremy Kahn and Vladimir Markovic: surface subgroup conjecture: 3-manifolds: ⇒Ehrenpreis conjecture ...
The Hauptvermutung (German for main conjecture) of geometric topology is the conjecture that any two triangulations of a triangulable space have a common refinement, a single triangulation that is a subdivision of both of them. It was originally formulated in 1908, by Steinitz and Tietze. [14] This conjecture is now known to be false.
The history of scientific method considers changes in the methodology of scientific inquiry, not the history of science itself. The development of rules for scientific reasoning has not been straightforward; scientific method has been the subject of intense and recurring debate throughout the history of science, and eminent natural philosophers and scientists have argued for the primacy of ...
The Born rule is a postulate of quantum mechanics that gives the probability that a measurement of a quantum system will yield a given result. In one commonly used application, it states that the probability density for finding a particle at a given position is proportional to the square of the amplitude of the system's wavefunction at that position.
In quantum mechanics, superdeterminism is a loophole in Bell's theorem.By postulating that all systems being measured are correlated with the choices of which measurements to make on them, the assumptions of the theorem are no longer fulfilled.