time operator http://popups.lib.uliege.be/1373-5411/index.php?id=3880 Index terms fr 0 Self-Reference, the Moebius and Klein Bottle Surfaces, Multivalued Logic and Cognition http://popups.lib.uliege.be/1373-5411/index.php?id=4633 We present a theory that surmounts the Cartesian Cut through self-reference, torsion geometry, multivalued logic, paradox, cybernetics, time-waves, quantum physics, the Moebius and Klein bottle surfaces, philosophy and semiotics. We introduce a Time Operator, and discuss its role in self-control, chronomes, will and a third-order time derivative. We apply the theory to visual perception and the problem of brain hemisphere integration for stereoscopic vision and its relations to micro and macroscopic non-local entanglement, torsion vortices and anticipation. Mon, 14 Oct 2024 15:34:35 +0200 Mon, 14 Oct 2024 15:34:43 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4633 From Standard Representations to a Global Representation with a N-Dimensional Metric in Quantum Theory http://popups.lib.uliege.be/1373-5411/index.php?id=3931 In this paper we discuss the several standard representations of Quantum Theory. The requirements of time order and operator self-adjointness are too much restrictive. To describe quantum correlations of N particles with a possible not causal order we propose a new formalism which include all conjugate quantities in the same configuration space where we define a "global state function" Ψ of 6N+1 scalar variables. The function Ψ is 3N-dimensional (non relativist Ψ) or 4N-dimensional (relativist Ψ) when spin variables are separable. Usual kinematic functions are computed as implicit functions, and new quantum operators are introduced. Tue, 01 Oct 2024 15:30:12 +0200 Thu, 10 Oct 2024 16:17:58 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3931 Surmounting the Cartesian Cut: Torsion, Klein Bottle, Stereochemistry, the Bio mechanics of the Cell Splitter in Embryogenesis and Bauplans http://popups.lib.uliege.be/1373-5411/index.php?id=3876 We introduce the Klein Bottle logophysics at the foundations of biology - in particular cell biology - and stereochemistry, and discuss its bearing in biomembranes and quantum torsion tensegrity structure for cell biology, proposing a unified logophysics paradigm integrating topological chemistry - in particular biochemical recognition, and cell biology. We apply this paradigm to the differentiation waves in embryogenesis. We present a quantum geometry tensegrity model for the cell splitter, proposing a codification of the embryological differentiation in terms of the Klein Bottle Logic of the genetic code. We propose a new understanding to evolution in terms of the HyperKlein Bottle. Mon, 30 Sep 2024 14:21:34 +0200 Mon, 30 Sep 2024 14:21:41 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3876