Sac State ETHN 202 - Quantum Relational Realism (5 pages)

Previewing pages 1, 2 of 5 page document View the full content.
View Full Document

Quantum Relational Realism



Previewing pages 1, 2 of actual document.

View the full content.
View Full Document
View Full Document

Quantum Relational Realism

29 views


Pages:
5
School:
California State University, Sacramento
Course:
Ethn 202 - Foundation Ethnic Studies

Unformatted text preview:

Quantum Relational Realism Mereotopology Logical Implication and Internal Relation in Quantum Mechanics as Represented via Sheaf theoretic Boolean Covering Systems Workshop Swiss Federal Institute of Technology ETH Chair for Philosophy building RAC Raemistrasse 36 8001 Zurich Switzerland Bernex France June 15 20 2011 I Aims and Motivation In the framework of quantum theory events are identified as measurement outcomes referent to corresponding observables The theory then provides the means of correlating these events In this respect the conceptual complexity of any ontological interpretation of quantum theory stems from two factors 1 The existence of an event referring to a quantum system can be inferred only probabilistically and only relative to a particular measurement context of a selected observable a local context whereby the universe represented by a global state vector is decomposed into system measuring apparatus and environment with their respective state vectors The actualization of probability valuated potential quantum events can be affirmed only after a measured result has been registered by the corresponding measuring apparatus 2 The totality of events related to the behavior of a quantum system cannot be actualized within the same local measurement context due to the property of non commutativity of quantum observables These two factors together necessitate a thorough rethinking of our conceptual and mathematical representation of the notion of a physical continuum suited to the quantum domain of discourse To this end we propose a mereotopological category theoretic interpretation of quantum mechanics that captures the relationship between a global description in terms of non commutative algebras of quantum observables and a description in terms of local Boolean algebras associated with particular measurement contexts In this relational realist framework which integrates key aspects of Whiteheadian philosophy and Grothendieck topology the measuring



View Full Document

Access the best Study Guides, Lecture Notes and Practice Exams

Loading Unlocking...
Login

Join to view Quantum Relational Realism and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Quantum Relational Realism and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?