Jos, I don't know if you were following the "heads or tails" thread but this is What I was getting at with dynamic value and assumed absolutes in regard to Perception. [snip] "This paper is the first in a series whose goal is to develop a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address certain deep issues that arise when contemplating quantum theories of space and time. A striking feature of the various current programmes for quantising gravity- including superstring theory and loop quantum gravity-is that, notwithstanding their disparate views on the nature of space and time, they almost all use more-or-less standard quantum theory. Although understandable from a pragmatic viewpoint (since all we have is more-or-less standard quantum theory) this situation is nevertheless questionable when viewed from a wider perspective. Indeed, there has always been a school of thought asserting that quantum theory itself needs to be radically changed/developed before it can be used in a fully coherent quantum theory of gravity. This iconoclastic stance has several roots, of which, for us, the most important is the use in the standard quantum formalism of certain critical mathematical ingredients that are taken for granted and yet which, we claim, implicitly assume certain properties of space and time. Such an a priori imposition of spatio-temporal concepts would be a major error if they turn out to be fundamentally incompatible with what is needed for a theory of quantum gravity. A prime example is the use of the continuum which, in this context, means the real and/or complex numbers. These are a central ingredient in all the various mathematical frameworks in which quantum theory is commonly discussed. For example, this is clearly so with the use of (i) Hilbert spaces and operators; (ii) geometric quantisation; (iii) probability functions on a non-distributive quantum logic; (iv) deformation quantisation; and (v) formal (i.e., mathematically ill-defined) path integrals and the like. The a priori imposition of such continuum concepts could be radically incompatible with a quantum gravity formalism in which, say, space-time is fundamentally discrete: as, for example, in the causal set programme."
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