Non-Abelian is a mathematical term for a system with "noncommutative" properties. ❋ Unknown (2010)
The uncertainty Dx, or noncommutative uncertainty principle is an entropy determined result with ❋ Unknown (2010)
Heller's current work focuses on noncommutative geometry and groupoid theory in mathematics which attempts to remove the problem of an initial cosmological singularity at the origin of the universe. ❋ Unknown (2008)
"If on the fundamental level of physics there is no space and no time, as many physicists think," says Heller, "noncommutative geometry could be a suitable tool to deal with such a situation." ❋ Unknown (2008)
This defines a type of spacetime uncertainty, or an underlying noncommutative structure to spacetime, for the length propagation to the screen Dy ~ cDt with ❋ Unknown (2010)
Or that the entropy difference DS is determined by the noncommutative uncertainty ❋ Unknown (2010)
This results in not just noncommutative geometry, but nonassociative structure as well. ❋ Unknown (2010)
On the typical serious math paper, say, noncommutative loops over Lie algebra, or real homotopy theory of Kaehler manifolds, or compactification on Calabi-Yau manifolds, my head just starts to spin. ❋ Julianne (2007)
This would include: the formation and decay of (nonsupersymmetric) black holes; graviton scattering at hyper-Planckian energies; physically continuous transitions from one topology, through a quantum state with no geometric interpretation, to a different topology; states where a submanifold of spacetime has a noncommutative geometry; states with a variety of apparent geometric singularities, where the physics is nonsingular. ❋ Sean (2007)
Quaternion multiplication and matrix multiplication is also noncommutative. ❋ Pratt, Vaughan (2007)
Complementarity arises in quantum physics because the mathematics of uncertainty are noncommutative. ❋ DEAN RADIN (2006)
The strange consequences of the noncommutative properties of the mathematics of quantum theory was first pointed out by Einstein in a paper coauthored by Boris Podolsky and Nathan Rosen, known as the “EPR paper.” ❋ DEAN RADIN (2006)
She proposed the discovery of stable black hole remnants with associated physics indicative of noncommutative spacetime. ❋ JoAnne (2006)
He began work on the new quantum mechanics as soon as it was introduced by Heisenberg in 1928 - independently producing a mathematical equivalent which consisted essentially of a noncommutative algebra for calculating atomic properties - and wrote a series of papers on the subject, published mainly in the Proceedings of the Royal Society, leading up to his relativistic theory of the electron (1928) and the theory of holes (1930). ❋ Unknown (1965)
