Observables in the General Boundary Formulation

Daniele Colosi, Luis Arturo Ureña-López, Hugo Aurelio Morales-Técotl +3 more

We present a non‐technical introduction to the general boundary formulation (GBF) of quantum theory. We emphasize the main motivation for the GBF: Formulating the quantum theory in way compatible with the principles of general relativity. We give an overview of the basic structures of the GBF, defining the notions of state space, amplitude, probability interpretation and expectation value of observables in the GBF. Finally, we briefly mention some of the results obtained so far and indicate future lines of research.

Daniele Colosi

We give a brief introduction to the so-called general boundary formulation (GBF) of quantum theory. This new axiomatic formulation provides a description of the quantum dynamics which is manifestly local and does not rely on a metric background structure for its definition. We present the basic ingredients of the GBF, in particular we review the core axioms that assign algebraic structures to geometric ones, the two quantisation schemes so far developed for the GBF and the probability interpretation which generalizes the standard Born rule. Finally we briefly discuss some of the results obtained studying specific quantum field theories within the GBF.

Michael J. W. Hall, Marcel Reginatto

Philip Lilien

This paper develops a generalized and universal definition of the observer as the "constraint-mediated coherence-reduction function" rather than as a conscious subject or measuring apparatus alone. In simple terms, the observer reduces possibility into the discrete. This is operative across all scale and is not at all limited by entities or instrumentation, though they too are expressions of the Observer Function. In this formulation, observer function occurs wherever a boundary, gradient, constraint, apparatus, field, or system reduces a more open coherent condition into distinction, localization, information, or closure.