Gravitation in terms of observables 2: the algebra of fundamental observables (original) (raw)

This paper revisits the intrinsic description of gravitation in terms of observables, initially proposed by Mandelstam in 1962. It extends the techniques from gauge theories to gravity, presenting a classical characterization of gravitation devoid of coordinates and reliant on the algebra of Dirac observables. The resulting theory addresses challenges in loop quantum gravity and proposes a framework that supports a non-local algebra of observables, potentially facilitating insights into the quantization of gravity.