Advertisement

The Common Cause Principle

  • Gábor Hofer-SzabóEmail author
  • Péter Vecsernyés
Chapter
Part of the SpringerBriefs in Philosophy book series (BRIEFSPHILOSOPH)

Abstract

In this chapter we turn to Reichenbach’s Common Cause Principle. The principle is generalized to the LPT framework and the status of the various Common Cause Principles in algebraic quantum field theory is investigated. Then we motivate the noncommutative generalization of the principle and compare the Common Cause Principle with Bell’s local causality.

Keywords

Weak Strong and Commutative Noncommutative Common Cause Principles 

References

  1. E.G. Cavalcanti, R. Lal, On modifications of Reichenbach’s principle of common cause in light of Bell’s theorems. J. Phys. A 47, 42 (2014)Google Scholar
  2. R. Clifton, L. Ruetsche, Changing the subject: Redei on causal dependence and screening off in relativistic quantum field theory. Philos. Sci. 66, S156–S169 (1999)MathSciNetCrossRefGoogle Scholar
  3. J. Henson, Comparing causality principles. Stud. Hist. Phil. Mod. Phys. 36, 519–543 (2005)MathSciNetCrossRefzbMATHGoogle Scholar
  4. G. Hofer-Szabó, P. Vecsernyés, Reichenbach’s common cause principle in AQFT with locally finite degrees of freedom. Found. Phys. 42, 241–255 (2012a)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  5. G. Hofer-Szabó, P. Vecsernyés, Noncommuting local common causes for correlations violating the Clauser-Horne inequality. J. Math. Phys. 53, 12230 (2012b)MathSciNetCrossRefzbMATHGoogle Scholar
  6. G. Hofer-Szabó, P. Vecsernyés, Noncommutative common cause principles in AQFT. J. Math. Phys. 54, 042301 (2013a)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  7. G. Hofer-Szabó, P. Vecsernyés, Bell inequality and common causal explanation in algebraic quantum field theory. Stud. Hist. Phil. Mod. Phys. 44(4), 404–416 (2013b)MathSciNetCrossRefzbMATHGoogle Scholar
  8. G. Hofer-Szabó, M. Rédei, L.E. Szabó, The Principle of the Common Cause (Cambridge University Press, Cambridge, 2013)CrossRefzbMATHGoogle Scholar
  9. V.F. Müller, P. Vecsernyés, ”The phase structure of\(G\)-spin models”, to be published Google Scholar
  10. M. Rédei, Reichenbach’s common cause principle and quantum field theory. Found. Phys. 27, 1309–1321 (1997)ADSMathSciNetCrossRefGoogle Scholar
  11. M. Rédei, J.S. Summers, Local primitive causality and the Common Cause Principle in quantum field theory. Found. Phys. 32, 335–355 (2002)MathSciNetCrossRefGoogle Scholar
  12. M. Rédei, S.J. Summers, Remarks on causality in relativistic quantum field theory. Int. J. Theor. Phys. 46, 2053–2062 (2007)Google Scholar
  13. H. Reichenbach, The Direction of Time (University of California Press, Los Angeles, 1956)Google Scholar
  14. S.J. Summers, R. Werner, Maximal violation of Bell’s inequalities for algebras of observables in tangent spacetime regions. Ann. Inst. Henri Poincaré Phys. Théor. 49, 215–243 (1988)MathSciNetzbMATHGoogle Scholar
  15. S.J. Summers, On the independence of local algebras in quantum field theory. Rev. Math. Phys. 2, 201–247 (1990)Google Scholar
  16. J. Uffink, The principle of the common cause the Bernstein Paradox. Philos. Sci. 512–525 (1999)Google Scholar
  17. R.M. Wald, Correlations beyond the horizon. Gen. Rel. Gravit. 24, 1111–1116 (1992)Google Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Institute of PhilosophyResearch Centre for the HumanitiesBudapestHungary
  2. 2.Theoretical PhysicsWigner Research Centre for PhysicsBudapestHungary

Personalised recommendations