On the structure of a background independent quantum theory: Hamilton function, transition amplitudes, classical limit and continuous limit

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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7 pages

Scientific paper

The Hamilton function is a powerful tool for studying the classical limit of
quantum systems, which remains meaningful in background-independent systems. In
quantum gravity, it clarifies the physical interpretation of the transitions
amplitudes and their truncations.

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