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Coordinates, observables and symmetry in relativity
Spacetime events general covariance observables
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...
Laws, Symmetry, and Symmetry Breaking; Invariance, Conservation Principles, and Objectivity
symmetry invariance symmetry breaking
2008/4/22
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
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...
Spontaneous Symmetry Breaking (II): Variations in Complex Models
symmetry spontaneous breaking of symmetry
2008/4/21
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
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.
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...
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...
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
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...
The Meaning of Spontaneous Symmetry Breaking (I): From a simple classical model
spontaneous symmetry breaking symmetry breaking symmetry principle
2008/4/21
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...
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
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 ...
This paper is an analysis of the geometrical interpretation of local gauge symmetry for theories of the Yang-Mills type.
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...
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...