The Homological Kähler-de Rham Differential Mechanism: II. Sheaf-Theoretic Localization of Quantum Dynamics
The homological Kähler-de Rham differential mechanism models the dynamical behavior of physical fields by purely algebraic means and independently of any background manifold substratum. This is of particular importance for the formulation of dynamics in the quantum regime, where the adherence to suc...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/189801 |
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| Summary: | The homological Kähler-de Rham differential mechanism models
the dynamical behavior of physical fields by purely algebraic means
and independently of any background manifold substratum. This is of
particular importance for the formulation of dynamics in the quantum
regime, where the adherence to such a fixed substratum is problematic.
In this context, we show that the functorial formulation of the Kähler-de Rham differential mechanism in categories of sheaves of commutative algebras, instantiating generalized localization environments of
physical observables, induces a consistent functorial framework of dynamics in the quantum regime. |
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| ISSN: | 1687-9120 1687-9139 |