Quantum Gravity Via Expansion-Contraction 5.0: How To Use the Riccati Equation Oppositely to Gravitation

**OsherD** · #1 August 13th 06 posted to sci.physics

From Osher Doctorow

By using the Riccati Differential Equation for velocity v rather than
the Einstein Field Equation for Quantum Gravity, we are getting a
handle on the implicit "inward" directionality of both the Schrodinger
Equation (which transforms to the Riccati Differential equation) and
the component equations of the Einstein Field Equation, and to reverse
that directionality becomes the simple requirement of making v
negative. The equation from the previous threads is:

1) dv/dt = A(t) + B(t)v + C(t)v^2

which upon multiplication of both sides by constant m becomes:

2) F = A(t)m + B(t)p + C(t)E, p = momentum, E = (kinetic) energy, F =
force

The velocity-varying m of Special Relativity simply doesn't enter the
main equations (1) and (2) and at most is a limiting or approximating
case, while the directionality of v is simply positive or negative (one
chosen for motion toward the earth or star or other "inward" attracting
body, the other for motion away from the central force source).

If we choose v negative for central motion and v positive for outward
motion, then gravitation is characterized by F 0 in (2), which yields
the inequality:

3) A(t)m + B(t)p + C(T)E 0 (gravitation)

and for v positive for outward motion we get:

4) A(t)m + B(t)p + C(t)E 0

It is within reason to generalize E to include potential and total and
negative energy in inequality (4). Other than that, the main
contributions to outward motion come from negative momentum p, possibly
negative mass, and time functions A(t), B(t), C(t).

Osher Doctorow

**OsherD** · #2 August 13th 06 posted to sci.physics

From Osher Doctorow

Before further exploring the right hand sides of (1) and (2) above, I
should point out that simply changing F from negative to positive (that
is to say, manipulating the left hand sides of (1) and (2) directly) is
also quite plausible. Although one recent paper in arXiv claims that
"eternal" acceleration in the Universe is ruled out by observations,
the only thing in the way of powering positive acceleration outward is
the level of technology and the claim that velocity is limited by c of
Special Relativity which is not required in the equations as indicated.

Osher Doctorow

**Zod, General** · #3 August 13th 06 posted to sci.physics

"OsherD" wrote in message
oups.com...
From Osher Doctorow

By using the Riccati Differential Equation for velocity v rather than
the Einstein Field Equation for Quantum Gravity, we are getting a
handle on the implicit "inward" directionality of both the Schrodinger
Equation (which transforms to the Riccati Differential equation) and
the component equations of the Einstein Field Equation, and to reverse
that directionality becomes the simple requirement of making v
negative. The equation from the previous threads is:

1) dv/dt = A(t) + B(t)v + C(t)v^2

which upon multiplication of both sides by constant m becomes:

2) F = A(t)m + B(t)p + C(t)E, p = momentum, E = (kinetic) energy, F =
force

units are wrong, so equation is wrong.

**Zod, General** · #4 August 13th 06 posted to sci.physics

"OsherD" wrote in message
ps.com...
From Osher Doctorow

Before further exploring the right hand sides of (1) and (2) above, I
should point out that simply changing F from negative to positive

is fine as Force is a vector, but the equation is still wrong as the units
are wrong.

**OsherD** · #5 August 14th 06 posted to sci.physics

From Osher Doctorow

Zod of spaml...invalid.com gets credit for an interesting but
inapplicable observation. Readers who have read my earlier threads
probably realize that I often ignore dimensional constants for
simplicity as I do in this case. If that seems too easy, then so was
Einstein's index summation convention. Simplicity is the password,
although not "too simple".

Osher

**vanep@cox.net** · #6 August 14th 06 posted to sci.physics

OsherD wrote:
From Osher Doctorow

Zod of spaml...invalid.com gets credit for an interesting but
inapplicable observation. Readers who have read my earlier threads
probably realize that I often ignore dimensional constants for
simplicity as I do in this case. If that seems too easy, then so was
Einstein's index summation convention. Simplicity is the password,
although not "too simple".

Osher

Write it so it's dimensionally correct. Nobody cares what you generally
do.

**the Zodness** · #7 August 14th 06 posted to sci.physics

"OsherD" wrote in message
ups.com...
From Osher Doctorow

Zod of spaml...invalid.com gets credit for an interesting but
inapplicable observation.

Wrong again, Kosher.

Readers who have read my earlier threads
probably realize that I often ignore dimensional constants for
simplicity as I do in this case.

no one else I know "ignores dimentional UNITS" not constants.

You dont even know the difference between UNITS and Constant is.

**OsherD** · #8 August 14th 06 posted to sci.physics

From Osher Doctorow

typed more or less "Write it so it's dimensionally
correct. Nobody care what you generally do." (I ran out of paste
while pasting this. :)

Unfortunately, v...@cox, I can't award points for juniors giving orders
to seniors. Try studying in Japan. :)

Osher

**vanep@cox.net** · #9 August 16th 06 posted to sci.physics

OsherD wrote:
From Osher Doctorow

typed more or less "Write it so it's dimensionally
correct. Nobody care what you generally do." (I ran out of paste
while pasting this. :)

Unfortunately, v...@cox, I can't award points for juniors giving orders
to seniors. Try studying in Japan. :)

Osher

You are a nitwit Doctorow. Dimensional analysis pg. 46 of my high
school physics text.

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