Archive for May, 2008

Lemaitre / Tolman / Bondi Metric

May 31, 2008


Subject: Lemaitre / Tolman / Bondi Metric
Date: Sat, 31 May 2008 12:18:25 EDT

This describes a spherically symmetric cloud of dust alleged to be expanding or collapsing under gravitation. It is an exact solution of the Einstein field equation found by Lemaitre in 1933, Tolman in 1934 and Bondi in 1947:

ds squared = c squared dt squared – A dr squared – R squared d cap omega squared

where

A = (R’) squared / (1 – 2E)

with

R = R(t, r), R’ = partial R / partial r, E = E(r)

We already know that the Friedmann Lemaitre Robertson Walker metric failed the dual identity test, so this one will fail also. The Maxima code will work out all the functional derivatives needed.

Twisted Logic

May 31, 2008


Subject: Twisted Logic
Date: Sat, 31 May 2008 12:03:03 EDT

Exactly! There is a bad smell here and it comes from the dogma of ninety years.

On Sat, May 31, 2008 at 11:05:43AM -0400, EMyrone] at [aol.com wrote: > To Dave Feustel > > If one googles this entry there is a Wikipedia page > with thirty six sub-pages describing various exact solutions which can be run > through the Maxima code. We already evaluated several of them in paper 93, > but there are new ones here. I am particularly interested in > > 1) The rotating vacuum Ozvath Schucking solution > 2) AdS black hole. > > The former in cartesian coordinates is: > > ds squared = -2((x squared – y squared) cos (2f) – 2 x y sin (2f)) c > squared dt squared > + dx squared + dy squared – 2 dt dz > > The latter in spherical polar coordinates is > > ds squared = -((kr) squared + 1 – C / r) c squared dt squared + 1 /(((kr) > squared + 1 – C / r)) dr squared > + r squared d cap omega squared > > We should see whether these survive the tests of the Maxima code, in > particualr the dual identity test. You could gradually go through all of these > solutions. Probably they will all fail the dual identity test with teh possible > exception of the vacuum solutions.

Myron,

I notice the word ‘torsion’ does not appear in the wiki page for exact solutions. Perhaps the motto of adherents to the standard model is

“Torsion!?! We don’t need No Stinkin Torsion!”

Dave :-)

Some Line Elements from the CUP Book.

May 31, 2008


Subject: Some Line Elements from the CUP Book.
Date: Sat, 31 May 2008 11:59:55 EDT


Attachment: acuplineelements.pdf

I extracted the simplest and least abstract line elements from the CUP book as per attached. These are essentially all ready to put into the metric matrix as input parameters, then just run the code and graph the results. The latter are going to be very complicated, but the graphs are simple. Finite charge and current densities indicate a finite R tilde ^ q, and a violation of the dual of the Bianchi identity. This is curtains down for the standard model – all over bar the hand waving.

"Exact Solutions in General Relativity"

May 31, 2008


Subject: Fwd: “Exact Solutions in General Relativity”
Date: Sat, 31 May 2008 11:54:25 EDT

On Sat, May 31, 2008 at 11:05:43AM -0400, EMyrone] at [aol.com wrote: > To Dave Feustel > > If one googles this entry there is a Wikipedia page > with thirty six sub-pages describing various exact solutions which can be run > through the Maxima code. We already evaluated several of them in paper 93, > but there are new ones here. I am particularly interested in > > 1) The rotating vacuum Ozvath Schucking solution > 2) AdS black hole. > > The former in cartesian coordinates is: > > ds squared = -2((x squared – y squared) cos (2f) – 2 x y sin (2f)) c > squared dt squared > + dx squared + dy squared – 2 dt dz > > The latter in spherical polar coordinates is > > ds squared = -((kr) squared + 1 – C / r) c squared dt squared + 1 /(((kr) > squared + 1 – C / r)) dr squared > + r squared d cap omega squared > > We should see whether these survive the tests of the Maxima code, in > particualr the dual identity test. You could gradually go through all of these > solutions. Probably they will all fail the dual identity test with teh possible > exception of the vacuum solutions.

Myron,

Thanks for the wiki pointer. The 2nd edition of the CUPS book sells for $140. Would the wiki entry on exact solutions serve as a substitute for the CUPS book?

Thanks, Dave

Yes these would be sufficient, plus my notes extracted from the CUP book in acuplinelements.pdf. I am sure that Dr Eckardt will help you with the computations. It is essentially simply a matter of putting the metric matrix elemenst in as input parameters. We don’t want to give these fellows too many royalties.

The Bonnor Beam

May 31, 2008


Subject: The Bonnor Beam
Date: Sat, 31 May 2008 11:50:23 EDT

This is an exact solution of the Einstein field equation due to W. B. Bonnor, Comm. Math. Phys., 13, 163 (1969). It is written in Brinkman coordinates and models an infinitely long, straight beam of light. It is an example of a pp wave spacetime. It has a uniform plane wave interior region, which is a null dust interpreted as incoherent electromagnetic radiation. I also has an exterior region claimed to be the gravitational field outside the beam. The line elements are:

a) ds squared = – 8 pi m r squared du squared – 2 du dv + dr squared + r squared d theta squared

where

-infinity
b) ds squared = – A du squared – 2 du dv + dr squared + r squared d theta squared

where

A = – 8 pi m r sub 0 sqaured (1 + 2 loge sub e (r / r sub 0))

and the same boundary conditions.

I think that these two solutions will again fail the test of the dual Bianchi identity. The latter must be used to work out how light interacts with gravitation, as in the 112 ECE papers to date.

Aichelburg Sexl Ultraboost

May 31, 2008


Subject: Aichelburg Sexl Ultraboost
Date: Sat, 31 May 2008 11:31:48 EDT

This is written in Brinkman coordinates as:

ds squared = – A du squared – 2 dudv + dr squared + r sqaured d theta squared ———— (1)

where:

A = – 4 m a loge sub e (r) / (pi (1 + a squared u squared))

where

– infinity
I think that this one also will fail the dual identity test. It is used in the context of black holes, and it is claimed that it resolves a paradox. These Wikipedia claims are as clear as mud, and we may as well give the coup de grace to this metric too.

Maxima Test of the Gravitational Plane Wave Metric

May 31, 2008


Subject: Maxima Test of the Gravitational Plane Wave Metric
Date: Sat, 31 May 2008 11:14:33 EDT

This is set up in Brinkman coordinates as follows:

ds squared = (a(u) ( x squared – y squared) + 2b(u) xy) du squared + 2 dudv + dx squared + dy squared

and will again probably fail the dual identity test (i.e. will produce finite charge and current densities in the code).

This will show that there are no gravitational plane waves from the Einstein field equation that correctly obey the Bianchi identity and dual identity.

"Exact Solutions in General Relativity"

May 31, 2008


Subject: “Exact Solutions in General Relativity”
Date: Sat, 31 May 2008 11:05:43 EDT

To Dave Feustel

If one googles this entry there is a Wikipedia page with thirty six sub-pages describing various exact solutions which can be run through the Maxima code. We already evaluated several of them in paper 93, but there are new ones here. I am particularly interested in

1) The rotating vacuum Ozvath Schucking solution 2) AdS black hole.

The former in cartesian coordinates is:

ds squared = -2((x squared – y squared) cos (2f) – 2 x y sin (2f)) c squared dt squared + dx squared + dy squared – 2 dt dz

The latter in spherical polar coordinates is

ds squared = -((kr) squared + 1 – C / r) c squared dt squared + 1 /(((kr) squared + 1 – C / r)) dr squared + r squared d cap omega squared

We should see whether these survive the tests of the Maxima code, in particualr the dual identity test. You could gradually go through all of these solutions. Probably they will all fail the dual identity test with teh possible exception of the vacuum solutions.

Virtual Prototyping Tools

May 31, 2008


Subject: Fwd: AW: 2nd Re: Virtual Prototyping Tools
Date: Sat, 31 May 2008 10:53:30 EDT

Myron, Horst, From a strategic perspective, your RFR efforts and our Geodesic-Fall (propulsion system) efforts comprise a wide-spectrum of ECE-Theory applications.. These efforts, plus the proposed VP-tools project, add up to an international ECE effort, which could serve as additional thrust in overcoming entrenched Standard Model barriers. We plan to lead with the demonstration report, in moving forward. We also have a new energy patent application based on the Geodesic-Fall concept. It involves MHD generation in zero gravity. We can discuss this further, as time permits.

Charles ——————————————————————————————————————————————————————————– —– Original Message —–

Sent: Saturday, May 24, 2008 7:00 AM
Subject: Fwd: AW: 2nd Re: Virtual Prototyping Tools

Agreed with this, a new energy patent application would be optimal. The first patent applicatrions are for RFR.

I think that this is an excellent move forward, and I am personally very interested both in RFR and a new energy device or devices. Teh latter is closely related to a counter – gravity device.

Selected Feedback Activity of www.aias.us over six years

May 31, 2008


Subject: FOR POSTING: Selected Feedback Activity of http://www.aias.us over six years
Date: Sat, 31 May 2008 06:40:34 EDT


Attachment: acompletestats02to08.pdf

This is a list of selected feedback activity of _www.aias.us_ (http://www.aias.us) over six years. It can be seen that there are several million hits and getting on for a million visits. The sister site _www.atomicprecision.com_ (http://www.atomicprecision.com) owned by Sean MacLachlan has also been running for several years now and records similar intense interest, showing beyond doubt that ECE is a new school of thought, having made an unprecedented worldwide impact. This is a far greater impact than made even by entire Grade 5* physics or chemistry departments, we found this by making a comparison table posted last year on _www.aias.us_ (http://www.aias.us) . For example we are out impacting the entire school of chemistry at Bristol, a grade 5* school (i.e. all staff combined).

Civil List Scientist

cc Prime Minister’s Office and Assembly


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