The reason for analogies between physical theories

E Tonti - Applied Mathematical Modelling, 1976 - Elsevier
Applied Mathematical Modelling, 1976Elsevier
An investigation on the reason for analogies between physical theories is carried out. The
reason is found in the fact that in every physical theory there are basic physical quantities
which are referred to geometrical and chronometrical elements. The analysis is pursued
further using the rudiments of algebraic topology, ie the notions of 'chain'and that of
'coboundary'. A rational classification scheme for the physical variables and equations of
whatever physical theory is then constructed. Some examples of these schemes are given.
An investigation on the reason for analogies between physical theories is carried out. The reason is found in the fact that in every physical theory there are basic physical quantities which are referred to geometrical and chronometrical elements. The analysis is pursued further using the rudiments of algebraic topology, i.e. the notions of ‘chain’ and that of ‘coboundary’. A rational classification scheme for the physical variables and equations of whatever physical theory is then constructed. Some examples of these schemes are given.
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