Dear Cambridge Philosophers of Science,

Welcome to CamPoS for the Easter term!  The term card should come soon.  
Our first talk will be on Wednesday, 3 May.  We will have Tushar Menon 
from Oxford, who will tell us what space-time is.  His title is 'Affine 
Balance: Algebraic Spacetime Functionalism as a Guide to Identifying 
Spacetime'. His abstract follows.

As always, CamPoS meets in the basement of HPS from 1-2:30.

Sincerely,
Brian Pitts

Abstract:

Our two most empirically successful theories, quantum mechanics and 
general relativity, are at odds with each other when it comes to several 
foundational issues. The deepest of these issues is also, perhaps, the 
easiest to grasp intuitively: what is spacetime? Most attempts at 
theories of quantum gravity do not make it obvious which degrees of 
freedom are spatiotemporal. In non-general relativistic theories, the 
matter/spacetime distinction is adequately tracked by the 
dynamical/non-dynamical object distinction. General relativity is 
different, because spacetime, if taken to be jointly, but with some 
redundancy, represented by a smooth manifold and a metric tensor field, 
is not an immutable, inert, external spectator. Our 
dynamical/non-dynamical distinction appears no longer to do the work for 
us; we appear to need something else. In the first part of this talk, I 
push back against the idea that the dynamical/non-dynamical distinction 
is doomed. I motivate a more general algebraic characterisation of 
spacetime based on Eleanor Knox’s spacetime functionalism, and the 
Helmholtzian notion of free mobility. I argue that spacetime is most 
usefully characterised by its (local) affine structure.

In the second part of this talk, I consider the debate between Harvey 
Brown and Oliver Pooley, on one hand, and Michel Janssen and Yuri 
Balashov, on the other, about the direction of the arrow of explanation 
in special relativity. Characterising spacetime using algebraic 
functionalism, I demonstrate that only Brown’s position is neutral on 
the substantivalism–relationalism debate. This neutrality may prove to 
be highly desirable in an interpretation of spacetime that one hopes 
will generalise to theories of quantum gravity---it seems like poor 
practice to impose restrictions on an acceptable quantum theory of 
spacetime based on metaphysical prejudices or approximately true 
effective field theories. The flexibility of Brown’s approach affords us 
a theory-dependent a posteriori identification of spacetime, and 
arguably counts in its favour. I conclude by gesturing towards how this 
construction might be useful in extending Brown’s view to supersymmetric 
field theories (and theories of quantum gravity).


J. Brian Pitts
Senior Research Associate
Faculty of Philosophy
University of Cambridge
[email protected]

Ph.D., Philosophy/History & Philosophy of Science, University of Notre 
Dame
Ph.D., Physics, University of Texas at Austin


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