Modern Space Time.
in [Relativity]
|
From: Ken S. Tucker on 15 Apr 2010 10:35 Hello Gents. On Apr 14, 6:22 pm, rods <rodpi...(a)gmail.com> wrote: > > Since you are working with right-angled triangles, you are doing > > trigonometry. > > Let b/c = sin x; then c/a = cos x and you have just derived > > sec x = 1 / sqrt(1 - sin^2 x) = 1 / cos x. > > I'm not sure why you think is is useful. > > --John Park > > Yes. That's it. I think it is useful because this is the Lorentz > transformation. > Take a look at Minkowski approach to the Lorentz transformation on > page 35 of this paper:http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf. > regards, > Rodrigo We live in Canada, our Baud rate is measured in seconds/byte, i.e. we're on dial-up, so I didn't download the big pdf. Space & Time were redefined by international concensus formally in 1983, to produce Modern SpaceTime. The triangle geometry trig approach is a useful teaching tool, but it's nearly useless in GR. Some theoreticians still commonly use the old (1, -1,-1,-1) signature as a kind of gospel, although a transform to (1,1,1,1) has advantages. We produced a brief (2 pages) on how to use MST in GR metrically, http://physics.trak4.com/modern-spacetime.pdf We went on to insure MST was compatible with all physics in a few briefs you can find here, http://physics.trak4.com/ I recommend a formal algebraic approach as set forth by GR. Regards Ken S. Tucker
From: eric gisse on 15 Apr 2010 11:23 Ken S. Tucker wrote: > Hello Gents. > > On Apr 14, 6:22 pm, rods <rodpi...(a)gmail.com> wrote: >> > Since you are working with right-angled triangles, you are doing >> > trigonometry. >> > Let b/c = sin x; then c/a = cos x and you have just derived >> > sec x = 1 / sqrt(1 - sin^2 x) = 1 / cos x. >> > I'm not sure why you think is is useful. >> > --John Park >> >> Yes. That's it. I think it is useful because this is the Lorentz >> transformation. >> Take a look at Minkowski approach to the Lorentz transformation on >> page 35 of this >> paper:http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf. >> regards, Rodrigo > > We live in Canada, our Baud rate is measured in seconds/byte, > i.e. we're on dial-up, so I didn't download the big pdf. > > Space & Time were redefined by international concensus formally in > 1983, > to produce Modern SpaceTime. > The triangle geometry trig approach is a useful teaching tool, but > it's nearly > useless in GR. > Some theoreticians still commonly use the old (1, -1,-1,-1) signature > as > a kind of gospel, although a transform to (1,1,1,1) has advantages. > > We produced a brief (2 pages) on how to use MST in GR metrically, > > http://physics.trak4.com/modern-spacetime.pdf > > We went on to insure MST was compatible with all physics in a few > briefs you can find here, > > http://physics.trak4.com/ > > I recommend a formal algebraic approach as set forth by GR. > Regards > Ken S. Tucker http://www.ncbi.nlm.nih.gov/pubmed/10626367
From: Ken S. Tucker on 15 Apr 2010 12:44 On Apr 15, 7:35 am, "Ken S. Tucker" <dynam...(a)vianet.on.ca> wrote: > Hello Gents. > > On Apr 14, 6:22 pm, rods <rodpi...(a)gmail.com> wrote: > > > > Since you are working with right-angled triangles, you are doing > > > trigonometry. > > > Let b/c = sin x; then c/a = cos x and you have just derived > > > sec x = 1 / sqrt(1 - sin^2 x) = 1 / cos x. > > > I'm not sure why you think is is useful. > > > --John Park > > > Yes. That's it. I think it is useful because this is the Lorentz > > transformation. > > Take a look at Minkowski approach to the Lorentz transformation on > > page 35 of this paper:http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf. > > regards, > > Rodrigo > > We live in Canada, our Baud rate is measured in seconds/byte, > i.e. we're on dial-up, so I didn't download the big pdf. > > Space & Time were redefined by international concensus formally in > 1983, > to produce Modern SpaceTime. > The triangle geometry trig approach is a useful teaching tool, but > it's nearly > useless in GR. > Some theoreticians still commonly use the old (1, -1,-1,-1) signature > as > a kind of gospel, although a transform to (1,1,1,1) has advantages. > > We produced a brief (2 pages) on how to use MST in GR metrically, > > http://physics.trak4.com/modern-spacetime.pdf > > We went on to insure MST was compatible with all physics in a few > briefs you can find here, > > http://physics.trak4.com/ > > I recommend a formal algebraic approach as set forth by GR. > Regards > Ken S. Tucker On Apr 15, 9:49 am, "Ken S. Tucker" <dynam...(a)vianet.on.ca> wrote: > Hello Gents. > > On Apr 14, 6:22 pm, rods <rodpi...(a)gmail.com> wrote: > > > > Since you are working with right-angled triangles, you are doing > > > trigonometry. > > > Let b/c = sin x; then c/a = cos x and you have just derived > > > sec x = 1 / sqrt(1 - sin^2 x) = 1 / cos x. > > > I'm not sure why you think is is useful. > > > --John Park > > > Yes. That's it. I think it is useful because this is the Lorentz > > transformation. > > Take a look at Minkowski approach to the Lorentz transformation on > > page 35 of this paper:http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf. > > regards, > > Rodrigo > > We live in Canada, our Baud rate is measured in seconds/byte, > i.e. we're on dial-up, so I didn't download the big pdf. > > Space & Time were redefined by international concensus formally in > 1983, > to produce Modern SpaceTime. > The triangle geometry trig approach is a useful teaching tool, but > it's nearly > useless in GR. > Some theoreticians still commonly use the old (1, -1,-1,-1) signature > as > a kind of gospel, although a transform to (1,1,1,1) has advantages. > > We produced a brief (2 pages) on how to use MST in GR metrically, > > http://physics.trak4.com/modern-spacetime.pdf > > We went on to insure MST was compatible with all physics in a few > briefs you can find here, > > http://physics.trak4.com/ > > I recommend a formal algebraic approach as set forth by GR. > Regards > Ken S. Tucker I'd like to add that GR, in my experience, provides a very versatile ability, using the logic of tensor analysis, to solve SpaceTime by algebraic means, and the MST solution I posted was just one. In mathematical physics using tensor calculus logic, I refrain from the outset of any coordinate systems conditions, such as metric signatures as that practically cancels the purpose of tensor calculus, I may sound nutsy, but I calculate in tensors with the indice being a variable, to enable fractional dimensionality, and also operate in an undefined number of dimensions. Afterward specialize to 4D (x,y,z,t) to obtain the prediction, that can be communicated. Regards Ken S. Tucker
From: BURT on 15 Apr 2010 15:51 On Apr 15, 9:44 am, "Ken S. Tucker" <dynam...(a)vianet.on.ca> wrote: > On Apr 15, 7:35 am, "Ken S. Tucker" <dynam...(a)vianet.on.ca> wrote: > > > > > > > Hello Gents. > > > On Apr 14, 6:22 pm, rods <rodpi...(a)gmail.com> wrote: > > > > > Since you are working with right-angled triangles, you are doing > > > > trigonometry. > > > > Let b/c = sin x; then c/a = cos x and you have just derived > > > > sec x = 1 / sqrt(1 - sin^2 x) = 1 / cos x. > > > > I'm not sure why you think is is useful. > > > > --John Park > > > > Yes. That's it. I think it is useful because this is the Lorentz > > > transformation. > > > Take a look at Minkowski approach to the Lorentz transformation on > > > page 35 of this paper:http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf. > > > regards, > > > Rodrigo > > > We live in Canada, our Baud rate is measured in seconds/byte, > > i.e. we're on dial-up, so I didn't download the big pdf. > > > Space & Time were redefined by international concensus formally in > > 1983, > > to produce Modern SpaceTime. > > The triangle geometry trig approach is a useful teaching tool, but > > it's nearly > > useless in GR. > > Some theoreticians still commonly use the old (1, -1,-1,-1) signature > > as > > a kind of gospel, although a transform to (1,1,1,1) has advantages. > > > We produced a brief (2 pages) on how to use MST in GR metrically, > > >http://physics.trak4.com/modern-spacetime.pdf > > > We went on to insure MST was compatible with all physics in a few > > briefs you can find here, > > >http://physics.trak4.com/ > > > I recommend a formal algebraic approach as set forth by GR. > > Regards > > Ken S. Tucker > > On Apr 15, 9:49 am, "Ken S. Tucker" <dynam...(a)vianet.on.ca> wrote: > > > > > > > Hello Gents. > > > On Apr 14, 6:22 pm, rods <rodpi...(a)gmail.com> wrote: > > > > > Since you are working with right-angled triangles, you are doing > > > > trigonometry. > > > > Let b/c = sin x; then c/a = cos x and you have just derived > > > > sec x = 1 / sqrt(1 - sin^2 x) = 1 / cos x. > > > > I'm not sure why you think is is useful. > > > > --John Park > > > > Yes. That's it. I think it is useful because this is the Lorentz > > > transformation. > > > Take a look at Minkowski approach to the Lorentz transformation on > > > page 35 of this paper:http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf. > > > regards, > > > Rodrigo > > > We live in Canada, our Baud rate is measured in seconds/byte, > > i.e. we're on dial-up, so I didn't download the big pdf. > > > Space & Time were redefined by international concensus formally in > > 1983, > > to produce Modern SpaceTime. > > The triangle geometry trig approach is a useful teaching tool, but > > it's nearly > > useless in GR. > > Some theoreticians still commonly use the old (1, -1,-1,-1) signature > > as > > a kind of gospel, although a transform to (1,1,1,1) has advantages. > > > We produced a brief (2 pages) on how to use MST in GR metrically, > > >http://physics.trak4.com/modern-spacetime.pdf > > > We went on to insure MST was compatible with all physics in a few > > briefs you can find here, > > >http://physics.trak4.com/ > > > I recommend a formal algebraic approach as set forth by GR. > > Regards > > Ken S. Tucker > > I'd like to add that GR, in my experience, provides a very versatile > ability, using the logic of tensor analysis, to solve SpaceTime by > algebraic means, and the MST solution I posted was just one. > > In mathematical physics using tensor calculus logic, I refrain from > the outset of any coordinate systems conditions, such as metric > signatures as that practically cancels the purpose of tensor calculus, > I may sound nutsy, but I calculate in tensors with the indice being a > variable, to enable fractional dimensionality, and also operate in an > undefined number of dimensions. > > Afterward specialize to 4D (x,y,z,t) to obtain the prediction, > that can be communicated. > Regards > Ken S. Tucker- Hide quoted text - > > - Show quoted text -- Hide quoted text - > > - Show quoted text - Space time aether has a spherical geometry. Gravity is radial and inward immaterial flow straight to center. Mitch Raemsch
From: Ken S. Tucker on 15 Apr 2010 22:08
On Apr 15, 12:51 pm, BURT <macromi...(a)yahoo.com> wrote: > On Apr 15, 9:44 am, "Ken S. Tucker" <dynam...(a)vianet.on.ca> wrote: > > > > > On Apr 15, 7:35 am, "Ken S. Tucker" <dynam...(a)vianet.on.ca> wrote: > > > > Hello Gents. > > > > On Apr 14, 6:22 pm, rods <rodpi...(a)gmail.com> wrote: > > > > > > Since you are working with right-angled triangles, you are doing > > > > > trigonometry. > > > > > Let b/c = sin x; then c/a = cos x and you have just derived > > > > > sec x = 1 / sqrt(1 - sin^2 x) = 1 / cos x. > > > > > I'm not sure why you think is is useful. > > > > > --John Park > > > > > Yes. That's it. I think it is useful because this is the Lorentz > > > > transformation. > > > > Take a look at Minkowski approach to the Lorentz transformation on > > > > page 35 of this paper:http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf. > > > > regards, > > > > Rodrigo > > > > We live in Canada, our Baud rate is measured in seconds/byte, > > > i.e. we're on dial-up, so I didn't download the big pdf. > > > > Space & Time were redefined by international concensus formally in > > > 1983, > > > to produce Modern SpaceTime. > > > The triangle geometry trig approach is a useful teaching tool, but > > > it's nearly > > > useless in GR. > > > Some theoreticians still commonly use the old (1, -1,-1,-1) signature > > > as > > > a kind of gospel, although a transform to (1,1,1,1) has advantages. > > > > We produced a brief (2 pages) on how to use MST in GR metrically, > > > >http://physics.trak4.com/modern-spacetime.pdf > > > > We went on to insure MST was compatible with all physics in a few > > > briefs you can find here, > > > >http://physics.trak4.com/ > > > > I recommend a formal algebraic approach as set forth by GR. > > > Regards > > > Ken S. Tucker > > > On Apr 15, 9:49 am, "Ken S. Tucker" <dynam...(a)vianet.on.ca> wrote: > > > > Hello Gents. > > > > On Apr 14, 6:22 pm, rods <rodpi...(a)gmail.com> wrote: > > > > > > Since you are working with right-angled triangles, you are doing > > > > > trigonometry. > > > > > Let b/c = sin x; then c/a = cos x and you have just derived > > > > > sec x = 1 / sqrt(1 - sin^2 x) = 1 / cos x. > > > > > I'm not sure why you think is is useful. > > > > > --John Park > > > > > Yes. That's it. I think it is useful because this is the Lorentz > > > > transformation. > > > > Take a look at Minkowski approach to the Lorentz transformation on > > > > page 35 of this paper:http://www.univ-nancy2.fr/DepPhilo/walter/papers/einstd7.pdf. > > > > regards, > > > > Rodrigo > > > > We live in Canada, our Baud rate is measured in seconds/byte, > > > i.e. we're on dial-up, so I didn't download the big pdf. > > > > Space & Time were redefined by international concensus formally in > > > 1983, > > > to produce Modern SpaceTime. > > > The triangle geometry trig approach is a useful teaching tool, but > > > it's nearly > > > useless in GR. > > > Some theoreticians still commonly use the old (1, -1,-1,-1) signature > > > as > > > a kind of gospel, although a transform to (1,1,1,1) has advantages. > > > > We produced a brief (2 pages) on how to use MST in GR metrically, > > > >http://physics.trak4.com/modern-spacetime.pdf > > > > We went on to insure MST was compatible with all physics in a few > > > briefs you can find here, > > > >http://physics.trak4.com/ > > > > I recommend a formal algebraic approach as set forth by GR. > > > Regards > > > Ken S. Tucker > > > I'd like to add that GR, in my experience, provides a very versatile > > ability, using the logic of tensor analysis, to solve SpaceTime by > > algebraic means, and the MST solution I posted was just one. > > > In mathematical physics using tensor calculus logic, I refrain from > > the outset of any coordinate systems conditions, such as metric > > signatures as that practically cancels the purpose of tensor calculus, > > I may sound nutsy, but I calculate in tensors with the indice being a > > variable, to enable fractional dimensionality, and also operate in an > > undefined number of dimensions. > > > Afterward specialize to 4D (x,y,z,t) to obtain the prediction, > > that can be communicated. > > Regards > > Ken S. Tucker > Space time aether has a spherical geometry. Gravity is radial and > inward immaterial flow straight to center. > Mitch Raemsch You also need to consider gravitation reacting between two fast moving objects, then how that should be solved. Ken |