Continuous Histories and the History Group in Generalised Quantum Theory
CJ Isham, N Linden

TL;DR
This paper extends the histories approach to quantum mechanics by developing the concept of continuous histories and introducing the 'history group' as a key mathematical tool.
Contribution
It introduces the 'history group' as an analogue to the canonical group, enabling the treatment of continuous histories in generalized quantum theory.
Findings
Development of the 'history group' framework
Application to continuous histories in quantum mechanics
Enhanced mathematical structure for generalized histories
Abstract
We treat continuous histories within the histories approach to generalised quantum mechanics. The essential tool is the `history group': the analogue, within the generalised history scheme, of the canonical group of single-time quantum mechanics.
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