Authors: Kaushik Kumar Majumdar
In this work we present a unified mathematical framework, under which time, information and memory are represented. This framework is multidimensional real manifolds. Clock is a system in which a particle traverses the real line (a one dimensional manifold) in uniform velocity. Time is indicated by the position of the particle. Information is represented by the deformation of a multidimensional manifold. This deformation takes some time to take place, during which information is created (encoded) dynamically. When the deformation in the manifold is preserved over time it is called memory. Preservation over short period of time is short term memory and over long period of time is long term memory. Information as deformation of manifold accommodates both Shannon type (information as random occurrence of coded data, devoid of meaning) and semantic type (information as the meaning of data, where the meaning may or may not be unique). Accommodating codons, the unit of genetic information, in this unified framework is very challenging and left as an open problem. If this can be achieved we will get a framework in which it will become possible to study how information encoded in the gene manifests through proteins expression in an organism. Several real life applications of the study have been highlighted.
Comments: 27 Pages. It should be in Computer Science / Information Theory category
[v1] 2018-10-26 14:19:49
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