[SI-LIST] Re: Si-list is one awesome avenue to learn and contribute to Signal Integrity

Sainath

A couple things you might consider, Maxwell's equations work very well for 
describing the average effects of many photons. When you start looking at 
the quantum level effects of small numbers of photons they don't work so 
well. They also predict that TEM waves in free space will propagate in a 
straight line but we know that the direction of propagation is effected by 
gravitational fields.

The question Chris was responding to was a philosophical one, comparing how 
we model reality to reality itself. While we may be able to gain 
significant insight from a good mathematical model, it remains just that. 
Physics will prevail.

Rob Hinz
Senior Electromagnetics Specialist
SiQual Corporation
rob@xxxxxxxxxx
phone (503)885-1231
fax   (503)885-0550
http://www.siqual.com

At 06:34 PM 11/27/2001 -0800, Sainath Nimmagadda wrote:

>Contributors: please don't mislead learners with statements which you can't
>support.
>
>Thanks,
>Sainath
>
>-----Original Message-----
>From: si-list-bounce@xxxxxxxxxxxxx
>[mailto:si-list-bounce@xxxxxxxxxxxxx]On Behalf Of Sainath Nimmagadda
>Sent: Tuesday, November 27, 2001 11:17 AM
>To: cpad@xxxxxxxxx; si-list@xxxxxxxxxxxxx
>Subject: [SI-LIST] Re: Square wave harmonics
>
>
>
>Chris,
>
>Just curious, what imperfections did you find with Maxwell equations?
>
>Sainath
>
>-----Original Message-----
>From: si-list-bounce@xxxxxxxxxxxxx
>[mailto:si-list-bounce@xxxxxxxxxxxxx]On Behalf Of Chris Padilla
>Sent: Tuesday, November 27, 2001 10:57 AM
>To: si-list@xxxxxxxxxxxxx
>Subject: [SI-LIST] Re: Square wave harmonics
>
>
>
>Okay, I must pipe in with my 2=A2 worth.
>
>Back in college, I recall solving some problem for frequency.  I ended up=20
>with a quadratic and as we know, there are two answers in the solution of a=
>=20
>quadratic.  It turns out one answer was positive frequency and the other=20
>was negative frequency.
>
>Negative frequency???
>
>We've always been taught to simply "throw away" the "nonsensical" or=20
>"nonphysical" answer in these cases but does this mean they arent "true" in=
>=20
>some sense?  (One prof talked about anti-matter and negative frequency=20
>being related in some guise...yikes!)
>
>Another example from college involved solving for a particular resistor=20
>with in a network of resistors (typical torture problem from an eccentric=20
>professor).  The final function was a quadratic and you ended up with a=20
>positive resistance and a negative resistance as solutions.
>
>Negative resistance???
>
>This one isn't so far fetched.  Gunn diodes take advantage of the region is=
>=20
>which their I/V plot is negatively sloped.  Oscillators are made taking=20
>advantage of this.
>
>In the end, I have concluded that Mathematics is simply (and usually) an=20
>elegant way to get a grasp (i.e. model, represent) on our physical=20
>environment and it isn't perfect.  After all, don't most of us take=20
>Maxwell's Equations as gospel?  ;^)
>
>Chris Padilla
>EMC Engineer
>Cisco Systems
>
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Rob Hinz
Senior Electromagnetics Specialist
SiQual Corporation
rob@xxxxxxxxxx
phone (503)885-1231
fax   (503)885-0550
http://www.siqual.com

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