Register to reply

Application of Calculus in Non Continuous Physical Systems

Share this thread:
Phynite
#1
May14-13, 03:04 AM
P: 6
In the mathematics of Calculus, a basic requirement is that the system or function should be continuous. Until the discovery that matter is discontinuous, applying Calculus in Physics was reasonable. But why is it still applied almost everywhere in physics ? Won't such applications produce erroneous results ?
Phys.Org News Partner Physics news on Phys.org
Optimum inertial self-propulsion design for snowman-like nanorobot
The Quantum Cheshire Cat: Can neutrons be located at a different place than their own spin?
A transistor-like amplifier for single photons
SteamKing
#2
May14-13, 05:47 AM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,325
Which matter is discontinuous? Do you have specific examples in mind?
Phynite
#3
May14-13, 08:58 AM
P: 6
Quote Quote by SteamKing View Post
Which matter is discontinuous? Do you have specific examples in mind?
Does it mean that some form of matter is continuous ? Matter, as we all know, is made up of atoms. So it is discrete and discontinuous. So I believe that application of Calculus is inappropriate in areas like Gravitation, Electromagnetism and Nuclear Physics.

SteamKing
#4
May14-13, 10:19 AM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,325
Application of Calculus in Non Continuous Physical Systems

Well, I can't argue with your beliefs, but I reject them. Application of the calculus to the problems you mention has been quite successful. You assume that atoms behave independently regardless of circumstances. Your assumption that the calculus can deal only with mathematically continuous systems is also faulty. You also have not provided any examples, according to your hypothesis, that application of the calculus has provided faulty results when used to analyze physical phenomena.


Register to reply

Related Discussions
Application of Condensation Sequence to extrasolar systems? Astronomy & Astrophysics 2
Exclusion Principle application to very large systems Quantum Physics 1
Physical explanation of Kronig-Kramers application Classical Physics 2
Continuous application of Lense-Thirring precession: flyby anomalies Special & General Relativity 1
Complex stuf Physical Application General Physics 2