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In a new paper, Smolin sketches a mechanism by which the laws of physics can be selected naturally and thus evolve.
He outlines a universal or "meta" law, from which many possible versions of physical law can emerge depending on the start-up----depending on what happens as a new region of space time and matter is initiated (possibly by budding from a prior region.)
The conjectured universal law is general enough that regions with different dimensionality, different spacetime geometry, and differently behaving matter can emerge, depending on initial conditions.
http://arxiv.org/abs/0803.2926
Matrix universality of gauge field and gravitational dynamics
Lee Smolin
21 pages,
(Submitted on 20 Mar 2008)
"A simple cubic matrix model is presented, which has truncations that, it is argued, lead at the classical level to a variety of theories of gauge fields and gravity. These include Yang-Mills theories and background independent theories of connections. The latter includes Chern-Simons theory in d=3, and BF theory and general relativity in d=4. General relativity coupled to Yang-mills theory for any SU(N) may also arise from quantum corrections.
On the basis of these results we conjecture that there are large universality classes of cut-off gauge and gravity theories, connected by transformations that mix up local and spacetime symmetries. If our universe is described by one of these theories then the question of the choice of the laws of physics is to a large extent subsumed in the problem of the choice of initial conditions in cosmology."
He outlines a universal or "meta" law, from which many possible versions of physical law can emerge depending on the start-up----depending on what happens as a new region of space time and matter is initiated (possibly by budding from a prior region.)
The conjectured universal law is general enough that regions with different dimensionality, different spacetime geometry, and differently behaving matter can emerge, depending on initial conditions.
http://arxiv.org/abs/0803.2926
Matrix universality of gauge field and gravitational dynamics
Lee Smolin
21 pages,
(Submitted on 20 Mar 2008)
"A simple cubic matrix model is presented, which has truncations that, it is argued, lead at the classical level to a variety of theories of gauge fields and gravity. These include Yang-Mills theories and background independent theories of connections. The latter includes Chern-Simons theory in d=3, and BF theory and general relativity in d=4. General relativity coupled to Yang-mills theory for any SU(N) may also arise from quantum corrections.
On the basis of these results we conjecture that there are large universality classes of cut-off gauge and gravity theories, connected by transformations that mix up local and spacetime symmetries. If our universe is described by one of these theories then the question of the choice of the laws of physics is to a large extent subsumed in the problem of the choice of initial conditions in cosmology."
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