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Papers related to the mathematical development of the concept of space




V. Krasnoholovets, On the way to submicroscopic description of nature, Indian Journal of Theoretical Physics, vol. 49, no. 2, 81-95 (2001) (pdf file 152 kb ; also arXiv.org e-print archive http://arXiv.org/abs/quant-ph/9908042).


V. Krasnoholovets, Space structure and quantum mechanics, Spacetime & Substance, vol. 1, no. 4, 172-175 (2000) (pdf file 144 kb ; also http://arXiv.org/abs/quant-ph/0106106) [Invited talk given at the Ukrainian Russian conference "Gravitation, Cosmology and Relativistic Astrophysics", Kharkiv, Ukraine, 8-12 November 2000].


M. Bounias and V. Krasnoholovets, How space generates matter and physical laws. In: Science addendum to: I. Harezi, The resonance in residence. An inner and outer quantum journey (Ilonka Harezy, USA, 2002), Ch. 4, pp. 33-53.


M. Bounias and V. Krasnoholovets, Scanning the structure of ill-known spaces: Part 1. Founding principles about mathematical constitution of space, Kybernetes: The International Journal of Systems and Cybernetics, vol. 32, no. 7/8, 945-975 (2003) [in a special issue on some new theories about time and space] (pdf file 288 kb  ; also http://arXiv.org/abs/physics/0211096).


M. Bounias and V. Krasnoholovets, Scanning the structure of ill-known spaces: Part 2. Principles of construction of physical space, Kybernetes: The International Journal of Systems and Cybernetics, vol. 32, no. 7/8, 976-1004 (2003) [in a special issue on some new theories about time and space] (pdf file 268 kb ; also http://arXiv.org/abs/physics/0212004).


M. Bounias and V. Krasnoholovets, Scanning the structure of ill-known spaces: Part 3. Distribution of topological structures at elementary and cosmic scales, Kybernetes: The International Journal of Systems and Cybernetics, vol. 32, no. 7/8, 1005-1020 (2003) [in a special issue on some new theories about time and space] (pdf file 196 kb ; also http://arXiv.org/abs/physics/0301049).


M. Bounias and V. Krasnoholovets, The universe from nothing: A mathematical lattice of empty sets. International Journal of Anticipatory Computing Systems, vol. 16, pp. 3-24 (2004), Ed.: D. Dubois (pdf file 216 kb ; also http://arXiv.org/abs/physics/0309102). [Talk delivered at CASYS'2003 (The Conference on Anticipatory Computing Systems, Institute of Mathematics, Liege, Belgium, 11-16 August 2003].


V. Krasnoholovets, The tessellattice of mother-space as a source and generator of matter and physical laws, in Einstein and Poincare: The Physical Vacuum, Ed.: V. Dvoeglazov (Apeiron, Montreal, 2006), pp. 143-153 (pdf file 143 kb).


V. Krasnoholovets, Gravitation as deduced from submicroscopic quantum mechanics, arXiv.org e-print archive, hep-th/0205196 (pdf file 236 kb ; also http://arXiv.org/abs/hep-th/0205196)


V. Krasnoholovets, Newton's static potential 1/r as the space relief formed by dynamic inertons, carriers of the

gravitational interaction, Spacetime & Substance 4, no. 4, 145-151 (2003) (pdf file 144 kb)


V. Krasnoholovets, Reasons for the gravitational mass and the problem of quantum gravity, in Ether, Spacetime and Cosmology, Vol. 1, Eds.: M. Duffy, J. Levy and V. Krasnoholovets (PD Publications, Liverpool, 2008), pp. 419-450 (ISBN 1 873 694 10 5) (pdf file 188 kb).