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Coordinates, observables and symmetry in relativity     Spacetime   events   general covariance   observables       font style='font-size:12px;'> 2008/4/22
We investigate the interplay and connections between symmetry properties of equations, the interpretation of coordinates, the construction of observables, and the existence of physical relativity prin...
Given its importance in modern physics, philosophers of science have paid surprisingly little attention to the subject of symmetries and invariances, and they have largely neglected the subtopic of sy...
On Symmetry and Conserved Quantities in Classical Mechanics     classical mechanics  symmetry  conserved quantities       font style='font-size:12px;'> 2008/4/22
This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for classical mechanics. T...
This paper, part II of a two-part project, continues to explore the meaning of spontaneous symmetry breaking (SSB) by applying and expanding the general notion we obtained in part I to some more compl...
Spontaneous Symmetry Breaking and Chance     symmetry  ergodicity  perturbation  Curie's principle       font style='font-size:12px;'> 2008/4/21
In this paper I explore the nature of spontaneous symmetry breaking in connection with a cluster of interrelated concepts such as Curie's symmetry principle, chance, and stability.
Symmetry & Possibility: To Reduce or not Reduce?     Symmetry  reduction  modality  spacetime       font style='font-size:12px;'> 2008/4/21
In this paper I examine the connection between symmetry and modality from the perspective of `reduction' methods in geometric mechanics. I begin by setting the problem up as a choice between two oppos...
Symmetry and Gauge Freedom     gauge theories  Yang-Mills theories  geometric mechanics       font style='font-size:12px;'> 2008/4/21
What is the significance of gauge freedom? This paper makes a start on answering this and other interpretative questions about classical and quantum gauge theories by situating classical gauge freedom...
Symmetry and Probability     symmetry  probability  indifference  statistical mechanics       font style='font-size:12px;'> 2008/4/21
There is a strong connection, in our world, between symmetry and probability. We often rely on symmetries to infer the probabilities of different possible outcomes, both their objective chances and ou...
Symmetry, Structure and the Constitution of Objects     permutation symmetry  structuralism  structural realism       font style='font-size:12px;'> 2008/4/21
In this paper I focus on the impact on structuralism of the quantum treatment of objects in terms of symmetry groups and, in particular, on the question as to how we might eliminate, or better, reconc...
This paper, part I of a two-part project, aims at answering the simple question 'what is spontaneous symmetry breaking?' by analyzing from a philosophical perspective a simple classical model. Related...
On the meaning of symmetry breaking     symmetry breaking  spontaneous symmetry breaking       font style='font-size:12px;'> 2008/4/15
This is the review paper for the section III ("Symmetry breaking") of the volume "Symmetries in physics: philosophical reflections", Cambridge University Press, 2003, edited by Katherine A. Brading a...
Mirror Symmetry: What is it for Relational Space to be Orientable?     space  spacetime  geometry  symmetry       font style='font-size:12px;'> 2008/4/15
As Pooley (2001) explains, the challenge of giving a relational account of orientability (and topology more generally) is not an easy one. This paper criticizes Pooley's and other proposals, raises a ...
Geometrical aspects of local gauge symmetry     quantum mechanics  gauge symmetry       font style='font-size:12px;'> 2008/4/14
This paper is an analysis of the geometrical interpretation of local gauge symmetry for theories of the Yang-Mills type.
Gauge Symmetry and the Theta Vacuum     gauge  symmetry  theta vacuum       font style='font-size:12px;'> 2008/4/14
According to conventional wisdom, local gauge symmetry is not a symmetry of nature, but an artifact of how our theories represent nature. But a study of the so-called theta-vacuum appears to refute th...
Dust, Time, and Symmetry       del  Symmetry  General Relativity  Time       font style='font-size:12px;'> 2008/4/11
Two symmetry arguments are discussed, each purporting to show that there is no more room in general relativistic cosmology than in Minkowski spacetime for a preferred division of spacetime into instan...

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