Register to reply 
Application of Calculus in Non Continuous Physical Systems 
Share this thread: 
#1
May1413, 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 ?



#2
May1413, 05:47 AM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,553

Which matter is discontinuous? Do you have specific examples in mind?



#3
May1413, 08:58 AM

P: 6




#4
May1413, 10:19 AM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,553

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 KronigKramers application  Classical Physics  2  
Continuous application of LenseThirring precession: flyby anomalies  Special & General Relativity  1  
Complex stuf Physical Application  General Physics  2 