The classic vector analysis is unable to describe the Quantum Mechanics, Relativity and Quantum Field Theory so that an increasing attention to the geometric algebra (GA) and geometric calculus (GC) has been paid. In arbitrary multiscale complex system modelling the bottom-up discrete approach under the ”discreteness hypothesis” is mandatory to achieve effective operative solutions. We present an exponential, pre-spatial arithmetic scheme (”allpowerful scheme”) to overcome the limitation of the traditional top-down probabilistic modelling veil opacity. CICT (computational information conservation theory) new awareness of a discrete hyperbolic geometry subspace (reciprocal-space, RS) of coded heterogeneous hyperbolic structures, underlying the familiar Q Euclidean direct-space (DS) surface representation, shows that any natural number n in N has associated a specific, non-arbitrary exterior phase relationship that we have to take into account to full conserve overall system component information content by computation in DS. GA and GC unified mathematical language with CICTcan offer a competitive and effective ”Science 2.0” universal arbitrary multiscale computational framework for biophysical and advanced applications.

GA and GC applied to pre-spatial arithmetic scheme to enhance modeling effectiveness in biophysical applications

FIORINI, RODOLFO
2016-01-01

Abstract

The classic vector analysis is unable to describe the Quantum Mechanics, Relativity and Quantum Field Theory so that an increasing attention to the geometric algebra (GA) and geometric calculus (GC) has been paid. In arbitrary multiscale complex system modelling the bottom-up discrete approach under the ”discreteness hypothesis” is mandatory to achieve effective operative solutions. We present an exponential, pre-spatial arithmetic scheme (”allpowerful scheme”) to overcome the limitation of the traditional top-down probabilistic modelling veil opacity. CICT (computational information conservation theory) new awareness of a discrete hyperbolic geometry subspace (reciprocal-space, RS) of coded heterogeneous hyperbolic structures, underlying the familiar Q Euclidean direct-space (DS) surface representation, shows that any natural number n in N has associated a specific, non-arbitrary exterior phase relationship that we have to take into account to full conserve overall system component information content by computation in DS. GA and GC unified mathematical language with CICTcan offer a competitive and effective ”Science 2.0” universal arbitrary multiscale computational framework for biophysical and advanced applications.
2016
2016 Early Proceedings of the Alterman Conference on Geometric Algebra
978-84-608-9911-2
Geometric Algebra; Geometric Calculus; Quantum Field Theory; CICT; ComputationalInformation Conservation Theory; Hyperbolic Geometry
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Descrizione: 2016 Early Proceedings of the Alterman Conference on Geometric Algebra and Summer School on Kähler Calculus
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1003587
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