Quantum theory of geometry: I. Area operators
Quantum theory of geometry: I. Area operators is a scholarly work by Abhay Ashtekar and Jerzy Lewandowski, published in 1997 in ''Classical and Quantum Gravity''. The main subjects of the publication include quantum theory, quantum mechanics, quantum, orthonormal basis, spectral geometry, holographic principle, spin foam, Hilbert space, quantum state, loop quantum gravity, theoretical physics, space, positive-operator-valued measure, quantum gravity, spin network, C*-algebra, physics, quantum geometry, geometry, and pure mathematics. It is shown that their spectra are {\\it\npurely} discrete indicating that the underlying quantum geometry is far from\nwhat the continuum picture might suggest.