PROBING THE STRUCTURE OF QUANTUM MECHANICS<br> Nonlinearity, Nonlocality, Computation and Axiomatics

PROBING THE STRUCTURE OF QUANTUM MECHANICS
Nonlinearity, Nonlocality, Computation and Axiomatics

Brussels, Belgium , June 2000

CONTENTS


FRONT MATTER	i
PROBING THE STRUCTURE OF QUANTUM MECHANICS DIEDERIK AERTS, MAREK CZACHOR and THOMAS DURT	1
THE LINEARITY OF QUANTUM MECHANICS AT STAKE: THE DESCRIPTION OF SEPARATED QUANTUM ENTITIES DIEDERIK AERTS and FRANK VALCKENBORGH	20
LINEARITY AND COMPOUND PHYSICAL SYSTEMS: THE CASE OF TWO SEPARATED SPIN 1/2 ENTITIES DIEDERIK AERTS and FRANK VALCKENBORGH	47
BEING AND CHANGE: FOUNDATIONS OF A REALISTIC OPERATIONAL FORMALISM DIEDERIK AERTS	71
THE CLASSICAL LIMIT OF THE LATTICE-THEORETICAL ORTHOCOMPLEMENTATION IN THE FRAMEWORK OF THE HIDDEN-MEASUREMENT APPROACH THOMAS DURT and BART D'HOOGHE	111
STATE PROPERTY SYSTEMS AND CLOSURE SPACES: EXTRACTING THE CLASSICAL EN NONCLASSICAL PARTS DIEDERIK AERTS and DIDIER DESES	130
HIDDEN MEASUREMENTS FROM CONTEXTUAL AXIOMATICS SVEN AERTS	149
MEMORY EFFECTS IN ATOMIC INTERFEROMETRY: A NEGATIVE RESULT THOMAS DURT, JACQUES BAUDON, RENAUD MATHEVET, JACQUES ROBERT and BRUNO VIARIS DE LESEGNO	165
REALITY AND PROBABILITY: INTRODUCING A NEW TYPE OF PROBABILITY CALCULUS DIEDERIK AERTS	205
QUANTUM COMPUTATION: TOWARDS THE CONSTRUCTION OF A ‘BETWEEN QUANTUM AND CLASSICAL’ COMPUTER DIEDERIK AERTS and BART D'HOOGHE	230
BUCKLEY-SILER CONNECTIVES FOR QUANTUM LOGICS OF FUZZY SETS J. PYKACZ and B. D'HOOGHE	248
SOME NOTES ON AERTS' INTERPRETATION OF THE EPR-PARADOX AND THE VIOLATION OF BELL-INEQUALITIES WIM CHRISTIAENS	259
QUANTUM CRYPTOGRAPHIC ENCRYPTION IN THREE COMPLEMENTARY BASES THROUGH A MACH-ZEHNDER SET UP THOMAS DURT and BOB NAGLER	287
QUANTUM CRYPTOGRAPHY WITHOUT QUANTUM UNCERTAINTIES THOMAS DURT	296
HOW TO CONSTRUCT DARBOUX-INVARIANT EQUATIONS OF VON NEUMANN TYPE JAN L. CIEŚLIŃSKI	324
DARBOUX-INTEGRABLE EQUATIONS WITH NON-ABELIAN NONLINEARITIES NIKOLAI V. USTINOV and MAREK CZACHOR	335
DRESSING CHAIN EQUATIONS ASSOCIATED WITH DIFFERENCE SOLITON SYSTEMS SERGIEI B. LEBLE	354
COVARIANCE APPROACH TO THE FREE PHOTON FIELD MACIEJ KUNA and JAN NAUDTS	368
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