On Time: Implications in Physical Modelling and Numerical Analysis
Vassiliadis, Vassilios S
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Vassiliadis, V. S. (2014). On Time: Implications in Physical Modelling and Numerical Analysis [Presentation file]. https://www.repository.cam.ac.uk/handle/1810/245274
Presentation at the weekly group meeting of the Process Systems Engineering (PSE) Research Group, at the Department of Chemical Engineering and Biotechnology, University of Cambridge.
This presentation examines the issue of 'time' from a multitude of points of consideration. These include (a) philosophy, (b) perception of time and neurology, (c) physics and engineering, (d) mathematics, (e) numerical analysis and computing. Perhaps the most important conclusion from this extensive analysis and presentation of material on the topic of what time really is, is described by the following. Definition of Time: Time is the human perception described by storage of a prior experienced state(s) through the senses (internal or external), its (their) replacement at discrete (almost, perhaps) instances by a new input and its comparison with what is stored in memory. We call duration the magnitude of the differences of the older stored state(s) in memory with the new, fresh input. The larger the difference the faster we perceive something to be ('of higher rate'), hence the shorter the perceived duration. Furthermore, the implications regarding the validity of the very foundations of mathematics and its use in physical modelling and in computing models of the real physical world are examined in detail.
time, physics, theoretical mathematics, applied mathematics, computational mathematics, theory of relativity, quantum mechanics, cellular automata, stochastic simulation, quantised state simulation, perception of time, philosophy of time, time in physics, dynamical systems, dynamical phenomena, differential equations
This record's URL: https://www.repository.cam.ac.uk/handle/1810/245274
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