|Abstract||Mathematical developments in the 1970s (geometric spectral theory) and 1980s (invariant cones in finite-dimensional Lie algebras) suggest a revision of the standard non-commutative quantum language. Invariantly and covariantly lattice-ordered Lie algebras can replace the known descriptions of the classical and quantum Hamiltonian dynamical systems. The standard operator (or algebraic) quantum theory appears as a factorization of a new multi-commutative model. The multi-commutativity reflects the dependence of the quantum variables on the choice of their measurement procedures--a property required by but not present in the standard quantum theory. The multi-commutativity quantum project needs an advanced theory of invariantly and covariantly ordered infinite dimensional Lie algebras, structures not yet visible on the mathematical agenda.|
|Keywords||No keywords specified (fix it)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Adrian Heathcote (1989). A Theory of Causality: Causality=Interaction (as Defined by a Suitable Quantum Field Theory). Erkenntnis 31 (1):77 - 108.
Roberto Giuntini, Antonio Ledda & Francesco Paoli (2007). Expanding Quasi-MV Algebras by a Quantum Operator. Studia Logica 87 (1):99 - 128.
Don Robinson (1994). The History and Philosophy of Quantum Field Theory. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:61 - 68.
Jeremy Butterfield & Chris Isham (2001). Spacetime and the Philosophical Challenge of Quantum Gravity. In Physics Meets Philosophy at the Panck Scale. Cambridge University Press.
Marcelo E. Coniglio & Francisco Miraglia (2000). Non-Commutative Topology and Quantales. Studia Logica 65 (2):223-236.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #274,830 of 549,080 )
Recent downloads (6 months)0
How can I increase my downloads?