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Physicists calculate but do not explain 1/7 1/7 Physics and infinitesimal calculus

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Mathematical Physics

Language:

English

Date Published:

December 12, 2024

File:

/Research Papers-Mathematical Physics/Download/10019

Downloads:

Keywords:

Infinitesimal calculus, mathematical continuity, approximation to the limit, success of infinitesimal calculus in physics, discrete calculus

Abstract:

The same dense order of real numbers that underpins mathematical continuity is used here to demonstrate that, contrary to common belief, infinitesimal calculus can only be a discrete, discontinuous calculation. Its discreteness explains its practical success in physics since the 17th century; and its supposed theoretical continuity explains its inability to explain the physical world, which, if consistent, can only be discrete, as will also be demonstrated in this series of mini-articles.