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most citedSome Reflections on the Status of Conventional Quantum Theory when Applied to Quantum Gravity

29 citations · 49 across the 4 of their papers we have counts for

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9 papers

gr-qc20038 cited

A New Approach to Quantising Space-Time: III. State Vectors as Functions on Arrows

C. J. Isham

In two recent papers by the author, a new approach was suggested for quantising space-time, or space. This involved developing a procedure for quantising a system whose configurati…

gr-qc20036 cited

A New Approach to Quantising Space-Time: II. Quantising on a Category of Sets

C. J. Isham

In a recent paper by the author, a new approach was suggested for quantising space-time, or space. This involved developing a procedure for quantising a system whose configuration…

gr-qc20036 cited

A New Approach to Quantising Space-Time: I. Quantising on a General Category

C. J. Isham

A new approach is suggested to the problem of quantising causal sets, or topologies, or other such models for space-time (or space). The starting point is the observation that enti…

quant-ph200229 cited

Some Reflections on the Status of Conventional Quantum Theory when Applied to Quantum Gravity

C. J. Isham

All current approaches to quantum gravity employ essentially standard quantum theory including, in particular, continuum quantities such as the real or complex numbers. However, I…

quant-ph2001

Quantising the Foliation in History Quantum Field Theory

C. J. Isham, K. N. Savvidou

As a preliminary to discussing the quantisation of the foliation in a history form of general relativity, we show how the discussion in \cite{SavQFT1} of a history version of free,…

quant-ph2001

A Topos Perspective on the Kochen-Specker Theorem: IV. Interval Valuations

J. Butterfield, C. J. Isham

We extend the topos-theoretic treatment given in previous papers of assigning values to quantities in quantum theory. In those papers, the main idea was to assign a sieve as a part…