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A torsion field (also called axion field, spin field, spinor field, and microlepton field) is a reoccurring feature of many pseudoscientific [2] proposals. It posits that the quantum spin of particles can be used to cause emanations to carry information through vacuum orders of magnitude faster than the speed of light.
The field equations of Einstein–Cartan theory come from exactly the same approach, except that a general asymmetric affine connection is assumed rather than the symmetric Levi-Civita connection (i.e., spacetime is assumed to have torsion in addition to curvature), and then the metric and torsion are varied independently.
Torsion field can refer to: A torsion tensor in differential geometry. The field used in Einstein–Cartan theory and other alternatives to general relativity that involve torsion of spacetime; Torsion field (pseudoscience), a field alleged to make faster-than-light communication and paranormal phenomena possible
This definition should be taken as defining the torsion-free spin connection, since, by convention, the Christoffel symbols are derived from the Levi-Civita connection, which is the unique metric compatible, torsion-free connection on a Riemannian Manifold. In general, there is no restriction: the spin connection may also contain torsion.
Popławski's approach is based on the Einstein–Cartan theory of gravity which extends general relativity to matter with intrinsic angular momentum ().Spin in curved spacetime requires that the affine connection cannot be constrained to zero and its antisymmetric part, the torsion tensor, must be a variable in Hamilton's principle of stationary action which gives the field equations.
Torsion of a square section bar Example of torsion mechanics. In the field of solid mechanics, torsion is the twisting of an object due to an applied torque [1] [2].Torsion could be defined as strain [3] [4] or angular deformation [5], and is measured by the angle a chosen section is rotated from its equilibrium position [6].
Spin field may refer to: Spinor field, assignment of a spinor to every point in space, used in quantum mechanics and quantum field theory. Spin (physics) the spin property of elementary particles. A kind of Torsion field, used in pseudophysics
To find the torsion coefficient of the wire, Cavendish measured the natural resonant oscillation period T of the torsion balance: = Assuming the mass of the torsion beam itself is negligible, the moment of inertia of the balance is just due to the small balls. Treating them as point masses, each at L/2 from the axis, gives: