Quantum Gravity 247.6: The Riccati Differential Equation is "Natural" For Expansion-Contraction Motion
OsherD
The use of the Riccati Differential Equation in connection with travel
of light into the black hole is natural because this differential
equation describes expansion or expansive growth in the exponential
growth case as well contraction or decay in the negative exponential
case.
Osher Doctorow
OsherD
In other words, the Riccati Differential Equation in its exponential
growth/decay or expansion/contraction subtype is the "natural"
equation for radial expansion/contraction as opposed to tangential
motion which is usually "one direction at a time type", as I've
discussed many times in previous postings, with tangential motion
typically given by the usual dynamical equations.
When the expanding or contracting object is an extended body, the body
can be regarded as simultaneously "deciding" to expand or contract to
a certain degree or magnitude in each direction, and these can all be
different or some can be similar, unlike tangential motion which is
not simultaneous but in one direction at a time.
This is why, in Cosmological Physics, in my view the Riccati
Differential Equation is the main equation to use, although it can
arguably be generalized to partial differential equation(s) or systems
of equations somewhat analogously to the Lotka-Volterra equations.
The Logistic Differential Equation is another Riccati subtype of
considerable importance in science.
Osher Doctorow
Paul Mays
"OsherD" <mdoc...@ca.rr.com> wrote in message
news:f8ae2761-e1c1-4b44...@z24g2000prf.googlegroups.com...
Mays's Axioms
4) Man knows far less than he knows he knows....
5) Physical Laws apply whether or not man has symbolically defined
it.....
a) Mathematical symbolism is not the event its describes...
b) All physical aspects will occur in the universe whether we recognize it
or model it... or even if we cease to exist...
--
http://fast.filespace.org/PaulRMays/Postulate.pdf
--
Paul R. Mays
"I Believe in Nothing, I Know, I think I Know or I Do Not Know
I Never Believe... For to Believe is a Religious Incantation"
Bast...@aol.com
Dear Newsgroup:
I have been working on Riccati equations since about a quarter of a
century.
You may wish to look at my articles on sci.math symbolic.
http://mathforum.org/kb/forum.jspa?forumID=228
Topics of My New Math and New Energy Formula.
Well, there is no doubt that I have experienced a behavioral attitude
from the math community. All my notes with them communicated in a
thread Fermat Last Theorem in sci.math:
http://mathforum.org/kb/thread.jspa?threadID=1727646&tstart=60
You may wish to have a look.
I found the articles of Osher Doctorow interesting.
In fact I had selected Riccati equations as my lifetime research in
1980 because it had this physics connection.
Look at my statement of research to see its connection with
universals.
Dr.Mehran Basti