Articles

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Temporal Topos and U-Singularities, The Big Bang: Theory, Assumptions, and Problems (2012)

Several papers and books by C. Isham, C.Isham-A. Doering, F. Van Oystaeyen, A.Mallios-I. Raptis, C....

 

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u-Singularity and t-Topos Theoretic Entropy, International Journal of Theoretical Physics (2010)

We will give descriptions of u-singularities as we introduce the notion of t-topos theoretic entropies....

 

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Urcohomologies and Cohomologies of N -Complexes (with Naoya Hiramatsu), Portugaliae Mathematica (2010)

For a general sequence of objects and morphisms, we construct two N-complexes. Then we can...

 

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Microcosm to Macrocosm Via the Notion of a Sheaf (Observers in Terms of t-Topos), Physics of Emergence and Organization (2008)

The fundamental approach toward matter, space and time is that particles (either objects of macrocosm...

 

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Sheaf Theoretic Formulation of Entanglement, Quantum Biosystems (2008)

A formulation in terms of sheaf theoretic (or categorical) notions for quantum entanglement is given...

 

Contributions to Books

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Category Theory and Consciousness (with Daniele C. Struppa), No Matter Never Mind (2002)
 

Conference Proceedings

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Sheaf Cohomology of Conscious Entity, International Journal of Computing Anticipatory Systems (2002)

Awareness of a conscious entity can exist without elements; therefore, the general notion of an...