Quantum Ontology in the Light of Gauge Theories


We propose the conjecture according to which the fact that quantum mechanics does not admit sharp value attributions to both members of a complementary pair of observables can be understood in the light of the symplectic reduction of phase space in constrained Hamiltonian systems. In order to unpack this claim, we propose a quantum ontology based on two independent postulates, namely the phase postulate and the quantum postulate. The phase postulate generalizes the gauge correspondence between first-class constraints and gauge transformations to the observables of unconstrained Hamiltonian systems. The quantum postulate specifies the relationship between the numerical values of the observables that permit us to individualize a physical system and the symmetry transformations generated by the operators associated to these observables. We argue that the quantum postulate and the phase postulate are formally implemented by the two independent stages of the geometric quantization of a symplectic manifold, namely the prequantization formalism and the election of a polarization of pre-quantum states respectively.



    Upload a copy of this work     Papers currently archived: 92,227

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

On the Relation Between Gauge and Phase Symmetries.Gabriel Catren - 2014 - Foundations of Physics 44 (12):1317-1335.
On Classical and Quantum Objectivity.Gabriel Catren - 2008 - Foundations of Physics 38 (5):470-487.
On the observables on quantum logics.S. Pulmannová - 1981 - Foundations of Physics 11 (1-2):127-136.
Quantum Blobs.Maurice A. de Gosson - 2013 - Foundations of Physics 43 (4):440-457.
Determinate values for quantum observables.Roderich Tumulka - 2007 - British Journal for the Philosophy of Science 58 (2):355 - 360.
Gauge symmetry breaking in gauge theories—in search of clarification.Simon Friederich - 2013 - European Journal for Philosophy of Science 3 (2):157-182.
Geometry and Structure of Quantum Phase Space.Hoshang Heydari - 2015 - Foundations of Physics 45 (7):851-857.
Relativistic Quantum Mechanics and Field Theory.F. Strocchi - 2004 - Foundations of Physics 34 (3):501-527.
Aspects of objectivity in quantum mechanics.Harvey R. Brown - 1999 - In Jeremy Butterfield & Constantine Pagonis (eds.), From Physics to Philosophy. Cambridge University Press. pp. 45--70.
Quantum General Invariance and Loop Gravity.D. C. Salisbury - 2001 - Foundations of Physics 31 (7):1105-1118.


Added to PP

28 (#572,733)

6 months
2 (#1,206,802)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Add more citations

References found in this work

Ontological relativity and other essays.Willard Van Orman Quine (ed.) - 1969 - New York: Columbia University Press.
What is structural realism?James Ladyman - 1998 - Studies in History and Philosophy of Science Part A 29 (3):409-424.
Quantum Gravity.Carlo Rovelli - 2007 - Cambridge University Press.
What price spacetime substantivalism? The hole story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
How is Quantum Field Theory Possible?Sunny Y. Auyang - 1995 - New York: Oxford University Press.

View all 18 references / Add more references