http://popups.lib.uliege.be/1373-5411/index.php?id=1762 Publications of Auteurs Goro Kato fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=2376 The theory of temporal topos (or t-topos) gives a new definition for treating particlewave duality as one entity, i.e., as a presheaf over a Grothendieck site (generalized time category). The theory t-topos also gives a new definition of an entanglemet of particles providing a natural explanation of the EPR-type non-locality which is much simpler than the well established definition of entanglement given in terms of the Hilbert space decompositions and Hilbert space associated with the global quantum system (See, e.g., [AMS] for the definition.). The notion of generalized time is also discussed in [R.S]. For quantum gravity the theory called the t.g. relativistic principles of t-topos will be announced in [Topos'O4] based on the current project, [E.P.T.T] and [P.M.S.T]. Fri, 02 Aug 2024 11:32:26 +0200 Fri, 02 Aug 2024 11:32:34 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2376 http://popups.lib.uliege.be/1373-5411/index.php?id=1757 Awareness of a conscious entity can exist without elements ; therefore, the general notion of an object of a category is employed. One of the characterization of understanding is : for a given local information (awareness) there exists a global information whose restriction is the given information. For such mental activities, category and sheaf theories are employed to formulate consciousness. We will show that the cohomology (more general precohomology) object, a subquotient object, better represents the essence of a conscious entity than an object itself. We will also give a definition of an observation to formulate the collapse of the wave and the wave properly. Tue, 16 Jul 2024 15:16:54 +0200 Tue, 16 Jul 2024 15:17:12 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1757