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Abstract

Developments in science in the last few decades have led to doubts about the validity of the mechanical paradigm that has dominated science since the Scientific Revolution. The new views, coming from recently founded disciplines like non-equilibrium thermodynamics, chaos theory and the theory of dynamical systems, are rooted in physics. Nonetheless, much of their motivation comes from fields as diverse as weather prediction, ecology, economics, the study of traffic flow, and the growth of cities. Although Quantum Mechanics also led to doubts about the validity of the mechanical paradigm, the new views reveal problems within classical physics itself. The implications of these developments for our understanding of space have been largely unexamined. But the close connection between the Newtonian view of space and the mechanical paradigm means that the demise of the mechanical paradigm will require a re-evaluation of our understanding of physical space.

Key takeaways

  • The objections of the idealists were troublesome, but they could not come up with a believable account to replace the dynamical role of Newtonian space.
  • More recent developments in Quantum Mechanics and the theory of dynamical systems (often identified with "chaos theory") suggest that we may have to give up even this last vestige of the Newtonian view of space.
  • The equations that govern certain dynamical systems are very sensitive to initial conditions or empirical parameters.
  • In dynamical systems with multiple attractors and fractal regions, predictability is non-local.
  • The amplification of minute differences typical of the formation of dissipative structures and the evolution of non-linear systems with multiple attractors can produce results that are not predictable or controllable with the resources of the macroscopic objects involved.