Open AccessSPACES OF VARIABLE DIMENSION
Author(s) -
Alice Hryshchenko
Publication year - 2021
Publication title -
ìnformacìjnì tehnologìï v metalurgìï ta mašinobuduvannì
Language(s) - English
Resource type - Journals
ISSN - 2708-0102
DOI - 10.34185/1991-7848.itmm.2021.01.014
Subject(s) - dimension (graph theory) , observer (physics) , space (punctuation) , variable (mathematics) , state space , macro , scale (ratio) , mathematics , computer science , pure mathematics , calculus (dental) , mathematical analysis , geography , physics , statistics , cartography , medicine , dentistry , quantum mechanics , programming language , operating system
Usually scientists build physical models depending on how they perceive the world. But the current state of affairs in science has shown that where the scale is very small compared to our usual world, it is not justified to use models that could be used in the macro world. One of the options that can take place in the micro world, but has no analogues in our ordinary world, which we observe every day, is that space can change or have a fractional dimension. It is possible that the dimension of space will have certain values, depending on the conditions in which our complex system is observed in space, or depending on the frame of reference of the observer. And thus the calculations in the mathematical modeling of complex systems must be adjusted in accordance with the dimension of space.