000			03469nam a22004455i 4500
001			978-3-642-35713-8
003			DE-He213
005			20161215154525.0
007			cr nn 008mamaa
008			130328s2013 gw | s |||| 0|eng d
020			_a9783642357138
024	7		_a10.1007/978-3-642-35713-8 _2doi
040			_ciiserb
050		4	_aQC173.96-174.52
072		7	_aPHQ _2bicssc
072		7	_aSCI057000 _2bisacsh
082	0	4	_a530.12 _223
100	1		_aFlori, Cecilia. _eauthor. _918980
222			_aPhysics
245	1	2	_aFirst course in topos quantum theory _cby Cecilia Flori.
300			_aXIII, 449 p. 8 illus. _bonline resource.
490	1		_aLecture Notes in Physics, _x0075-8450 ; _v868
505	0		_aIntroduction -- Philosophical Motivations -- Kochen-Specker Theorem -- Introducing Category Theory -- Functors -- The Category of Functors -- Topos -- Topos of Presheaves -- Topos Analogue of the State Space -- Topos Analogue of Propositions -- Topos Analogues of States -- Truth Values -- Quantity Value Object and Physical Quantities -- Sheaves -- Probabilities in Topos Quantum theory -- Group Action in Topos Quantum Theory -- Topos History Quantum Theory -- Normal Operators -- KMS States -- Future Research -- Topos and Logic -- Worked out Examples.
520			_aIn the last five decades various attempts to formulate theories of quantum gravity have been made, but none has fully succeeded in becoming the quantum theory of gravity. One possible explanation for this failure might be the unresolved fundamental issues in quantum theory as it stands now. Indeed, most approaches to quantum gravity adopt standard quantum theory as their starting point, with the hope that the theory’s unresolved issues will get solved along the way. However, these fundamental issues may need to be solved before attempting to define a quantum theory of gravity. The present text adopts this point of view, addressing the following basic questions:  What are the main conceptual issues in quantum theory? How can these issues be solved within a new theoretical framework of quantum theory? A possible way to overcome critical issues in present-day quantum physics – such as a priori assumptions about space and time that are not compatible with a theory of quantum gravity, and the impossibility of talking about systems without reference to an external observer – is through a reformulation of quantum theory in terms of a different mathematical framework called topos theory. This course-tested primer sets out to explain to graduate students and newcomers to the field alike, the reasons for choosing topos theory to resolve the above-mentioned issues and how it brings quantum physics back to looking more like a “neo-realist” classical physics theory again.
650		0	_aPhysics. _918981
650		0	_aQuantum theory. _918982
650		0	_aMathematical physics. _918983
650	1	4	_aPhysics. _918981
650	2	4	_aQuantum Physics. _918984
650	2	4	_aMathematical Physics. _918985
650	2	4	_aMathematical Methods in Physics. _918986
650	2	4	_aMathematical Applications in the Physical Sciences. _918987
710	2		_aSpringerLink (Online service) _918988
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642357121
830		0	_aLecture Notes in Physics, _v868 _918989
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-35713-8
942			_2ddc _cBK
999			_c6989 _d6989