Maximal proper acceleration and the structure of spacetime

Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity

“…Maximal acceleration is a long expected quantumgravitational phenomenon [18][19][20] and we regard the appearance of an indication of this phenomenon in loop gravity as our second and main result. Unlike other approaches, here maximal acceleration is compatible with local Lorentz symmetry, for the same reasons for which a minimal length is compatible [21,22].…”

Almost Product Manifolds as the Low Energy Geometry of Dirichlet Branes

“…The partial geometry (T Σ, g D ) has been studied before [12,13] as a maximal acceleration geometry, but without contact to any well-studied candidate theory of quantum gravity. It is remarkable that the low energy dynamics of Dirichlet branes imply just this geometry, and completes it by requiring that the tangent bundle is further equipped with a second metric g H , or, equivalently an almost product structure F .…”

Quantum vacuum heuristics

“…The characteristic field E c can also be estimated by simple heuristic arguments [4,23] involving the quantum mechanics of the vacuum. By the time-energy uncertainty principle, virtual electron-positron pairs of mass m occur in the vacuum fluctuation during a time…”

“…If instead of the electric force acting on the vacuum, one analogously considers the inertial force ma acting on each virtual particle of mass m in the vacuum in a frame with proper acceleration a, one has, analogous to the argument in Section 2 [4,24],…”