Is non-linearity incontrovertible? What about hidden variables?


by kmarinas86
Tags: hidden, incontrovertible, nonlinearity, variables
kmarinas86
kmarinas86 is offline
#1
Feb10-11, 07:39 AM
P: 1,011
Some systems are said to not obey the superposition principle. This is because certain relations are found which are not arrived at by simple addition or subtraction. However, I wonder if some "non-linear systems" can be modeled directly from an underlying set of linear equations. Now, I don't assume that such a set of equations would be finite. One must somehow generate such equations, though not necessarily by using a system of non-linear equations. Is it possible? If so, can such a process theoretically apply to all non-linear systems?
Phys.Org News Partner Mathematics news on Phys.org
Math modeling handbook now available
Hyperbolic homogeneous polynomials, oh my!
Researchers help Boston Marathon organizers plan for 2014 race
HallsofIvy
HallsofIvy is offline
#2
Feb10-11, 08:42 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,904
You can always approximate a non-linear system by a sufficiently complicated linear system. Is that what you mean?
Filip Larsen
Filip Larsen is offline
#3
Feb10-11, 02:11 PM
PF Gold
Filip Larsen's Avatar
P: 946
Quote Quote by HallsofIvy View Post
You can always approximate a non-linear system by a sufficiently complicated linear system.
As long as one remembers that approximate in this case means that there are non-linear system whose behavior cannot be approximated by any (piece-wise) linear approximation of the field. Or in other words, some non-linear systems have behavioral characteristics that will escape any analysis based on linear theory.

Pythagorean
Pythagorean is online now
#4
Feb10-11, 02:28 PM
PF Gold
Pythagorean's Avatar
P: 4,212

Is non-linearity incontrovertible? What about hidden variables?


Paramertize the curve 10 more times!


Register to reply

Related Discussions
Hidden variables Advanced Physics Homework 0
Hidden Variables Beyond the Standard Model 19
Hidden Variables Quantum Physics 9
Are Macro Hidden Variables.. General Astronomy 4
QM hidden variables Quantum Physics 46