What is the difference between quantum mechanics and general relativity?
What is the difference between quantum mechanics and general relativity?
In general relativity, events are continuous and deterministic, meaning that every cause matches up to a specific, local effect. In quantum mechanics, events produced by the interaction of subatomic particles happen in jumps (yes, quantum leaps), with probabilistic rather than definite outcomes.
Why is quantum field theory incompatible with general relativity?
In quantum mechanics, fields are discontinuous and are defined by ‘quanta’. Quantum mechanics is incompatible with general relativity because in quantum field theory, forces act locally through the exchange of well-defined quanta.
What is torsion in general relativity?
The field strength associated with translation is Torsion. ⇓ • In general relativity, curvature represents the gravitational field. • In teleparallel gravity, torsion represents the gravitational field.
Is quantum mechanics harder than general relativity?
General Relativity is more mathematically difficult than non-relativistic quantum mechanics (which is what most people mean when they say “quantum mechanics”).
What is torsion and curvature?
In the elementary differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the plane of curvature. Taken together, the curvature and the torsion of a space curve are analogous to the curvature of a plane curve.
What is torsion geometry?
In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. In the geometry of surfaces, the geodesic torsion describes how a surface twists about a curve on the surface.
What is the Einstein Cartan theory of gravitation?
In theoretical physics, the Einstein–Cartan theory, also known as the Einstein–Cartan–Sciama–Kibble theory, is a classical theory of gravitation similar to general relativity. The theory was first proposed by Élie Cartan in 1922 and expounded in the following few years.
What is Cartan’s theory of torsion?
The theory was first proposed by Élie Cartan in 1922 and expounded in the following few years. Albert Einstein became affiliated with the theory in 1928 during his unsuccessful attempt to match torsion to the electromagnetic field tensor as part of a unified field theory.
How can the Einstein field equations of general relativity be derived?
The Einstein field equations of general relativity can be derived by postulating the Einstein–Hilbert action to be the true action of spacetime and then varying that action with respect to the metric tensor.
Is the theory of general relativity Riemannian geometry?
The theory of general relativity was originally formulated in the setting of Riemannian geometry by the Einstein–Hilbert action, out of which arise the Einstein field equations. At the time of its original formulation, there was no concept of Riemann–Cartan geometry.
