428 citations · 1.8k across the 27 of their papers we have counts for
9 papers · 1 filter
Geometrodynamics and Lorentz symmetry
Derek K. Wise
We study the dynamics of gauge theory and general relativity using fields of local observers, thus maintaining local Lorentz symmetry despite a space/time splitting of fields. We s…
Lifting General Relativity to Observer Space
Steffen Gielen, Derek K. Wise
The `observer space' of a Lorentzian spacetime is the space of future-timelike unit tangent vectors. Using Cartan geometry, we first study the structure a given spacetime induces o…
Linking Covariant and Canonical General Relativity via Local Observers
Steffen Gielen, Derek K. Wise
Hamiltonian gravity, relying on arbitrary choices of "space," can obscure spacetime symmetries. We present an alternative, manifestly spacetime covariant formulation that nonethele…
Teleparallel Gravity as a Higher Gauge Theory
John C. Baez, Derek K. Wise
We show that general relativity can be viewed as a higher gauge theory involving a categorical group, or 2-group, called the teleparallel 2-group. On any semi-Riemannian manifold M…
The geometric role of symmetry breaking in gravity
Derek K. Wise
In gravity, breaking symmetry from a group G to a group H plays the role of describing geometry in relation to the geometry the homogeneous space G/H. The deep reason for this is C…
Spontaneously broken Lorentz symmetry for Hamiltonian gravity
Steffen Gielen, Derek K. Wise
In Ashtekar's Hamiltonian formulation of general relativity, and in loop quantum gravity, Lorentz covariance is a subtle issue that has been strongly debated. Maintaining manifest…