Dear all:
Philosophers of physics will be interested to read details below of upcoming LSE Sigma Club talks occasional Mondays at 14.00, on Zoom; 19 October, 30 Nov, and 7 December.

Also: on Tuesdays at 14.00 to 15.30, on Zoom, there is a Cambridge course, taught by Bryan Roberts and Jeremy Butterfiled, on Philosophy of quantum field theory (continues in Lent 2021);
for course descriptions, reading list, and later, handouts: go to:

http://personal.lse.ac.uk/robert49/teaching/partiii/

Best, Jeremy and Bryan
------
Jeremy Butterfield:
Trinity College, Cambridge CB2 1TQ: Tel: 07557-668413 (mobile)




---------- Forwarded message ----------
Date: Wed,  7 Oct 2020 13:14:27 +0000
From: "[utf-8] LSE Sigma Club" <[email protected]>
To: "[utf-8] Jeremy" <[email protected]>
Subject: [utf-8] The Sigma Club is back!

Upcoming online philosophy of physics talks from LSE

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Dear Philosophers of Physics,

The LSE Sigma Club is back!

This term's programme features talks by Henrique Gomes & Jeremy Butterfield, 
Chrysovalantis Stergiou and Neil Dewar, further info below.

Of course, as with so many things, this term will be a little different from 
previous years, with all of our talks now taking place online via Zoom. The 
information for joining will be added to each event page at least a week in 
advance. We'll also send this information out by email for each of the talks.

So keep an eye out for further emails and we hope to see many of you at our 
first talk on 19 October!

Best wishes,
Centre for Philosophy of Natural and Social Science

19 October, 2pm


** Henrique Gomes & Jeremy Butterfield (Cambridge): “Geometrodynamics as 
Functionalism about Time” 
(https://lse.us10.list-manage.com/track/click?u=166f0feae024825349b394635&id=30dde66a75&e=99c5d1f64f)
------------------------------------------------------------

A recent literature about a doctrine called ‘spacetime functionalism’ 
focuses on how the physics of matter and radiation contributes to determining, 
or perhaps even determines or explains, chrono-geometry. Thus spacetime 
functionalism is closely related to relational, and specifically
Machian, approaches to chrono-geometry and dynamics; and to what has recently 
been called the ‘dynamical approach’ to chrono-geometry.

We are sympathetic to spacetime functionalism. We have elsewhere argued that in 
its best form, it says that a chrono-geometric concept (or concepts) is 
uniquely definable in terms of (and so reducible to) matter and radiation – 
and then proves a theorem to this effect. We also gave examples of such 
theorems from the older literature in foundations of chrono-geometry (before 
the recent label ‘functionalism’).

This paper argues that three projects in the physics literature give vivid and 
impressive illustrations of this kind of functionalist reduction, for time. 
That is: they each provide, within a theory about spatial geometry, a 
functionalist reduction of the temporal metric and time-evolution. And
the reduction is summed up in a theorem that the temporal metric and-or the 
Hamiltonian governing time-evolution is, in an appropriate sense, unique.

These three projects are all ‘general-relativistic’. But they differ 
substantially in exactly what they assume, and in what they deduce. They are, 
in short:

(1): The recovery of geometrodynamics, i.e. general relativity’s usual 
Hamiltonian, from requirements on deformations of hypersurfaces in a Lorentzian 
spacetime. This is due to Hojman et al. (1976).

(2): The programme of Schuller, Duell et al. (2011, 2012, 2018). They deduce 
from assumptions about matter and radiation in a 4-dimensional manifold that is 
not initially assumed to have a Lorentzian metric, the existence of a 
generalized metric (in some cases a Lorentzian one) – and much information 
about how it relates to matter and radiation.

(3): The deduction of general relativity’s usual Hamiltonian in a framework 
without even a spacetime: that is, without initially assuming a 4-dimensional 
manifold, let alone one with a Lorentzian metric. This is due to Gomes and 
Shyam (2017).

We discuss these projects in order. We end by drawing a positive corollary of 
(3), for a recent programme in the foundations of classical gravity, viz. shape 
dynamics.


------------------------------------------------------------

30 November, 2pm


** Chrysovalantis Stergiou (The American College of Greece): “On Empirical 
Underdetermination of Physical Theories in C*Algebraic Setting” 
(https://lse.us10.list-manage.com/track/click?u=166f0feae024825349b394635&id=55e2596c97&e=99c5d1f64f)
------------------------------------------------------------

Empirical underdetermination of physical theories by observational data lies at 
the heart of the debate over scientific realism. Antirealists of different 
strands contend that if observation cannot determine the state of a physical 
system then to talk about a uniquely defined state of the system is just a 
matter of convention. In the context of Algebraic Quantum Field Theory (AQFT) 
this stance is related to the claim that the physical topology of the state 
space is the weak*-topology and to what has become known as Algebraic 
Imperialism, the operationalist attitude which characterized the first steps of 
the theory. Aristidis Arageorgis (1995) devised a mathematical argument against 
empirical underdetermination of the state of a system in C*-algebraic setting 
which rests on two topological properties of the state space: being T1 and 
being first countable in the weak*-topology. The first property is possessed 
trivially by the state space while the latter is highly non-trivial and it can 
be
derived from the assumption that the algebra of observables is separable.

In this talk we will reconstruct Arageorgis’ argument and examine its 
soundness with regard to the separability of the algebra of observables. We 
will show that separability is related to two factors: (a) the dimension of the 
algebra, considered as a vector space; (b) whether it is a C*- or von Neumann 
algebra. Finite-dimensional C*-algebras and von Neumann algebras are separable, 
infinite-dimensional von Neumann algebras are non-separable and 
infinite-dimensional C*-algebras can be separable. These considerations will be 
discussed with reference to classical systems of N particles, the Heisenberg 
model for ferromagnetism, the Haag-Araki formulation of AQFT and a separable 
reformulation of AQFT in Minkowski spacetime suggested by Porrmann (1999, 2004).

This talk is dedicated to the memory of my beloved teacher, colleague and 
friend Aris Arageorgis who untimely passed away in 2018.


------------------------------------------------------------


7 December, 2pm


** Neil Dewar (Munich): “On Absolute Units” 
(https://lse.us10.list-manage.com/track/click?u=166f0feae024825349b394635&id=8bd5ba2b97&e=99c5d1f64f)
------------------------------------------------------------

What is the best way to characterise the intrinsic structure of physical 
quantities? Field’s program shows one approach (that also delivers a 
nominalist treatment of such quantities); in this talk, I outline how 
group-theoretic methods can deliver a somewhat simpler, although 
non-nominalist, way of doing this for scalar and vector quantities. I go on to 
develop a theory on how such quantities can be algebraically combined, and use 
this to develop a simple intrinsic treatment of Newtonian gravitation. Finally, 
I argue that this treatment illuminates a “third way” in the debate over 
absolutism and comparativism about quantities: namely, a form of 
anti-quidditist absolutism.
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