Dr. Carlip has done an excellent overview.

quantis wrote:
Is it possible to model GR without using Riemann's metric but
the Equivalence Principle using the concept of Holographic Principle
or other models? Pls. mention theories along this line you have heard
or read about.
quantis

Physically you need Equations of Motion (EoM) to
predict geometric paths of masses including those
having charge.
Not being funny, please note geo*metric*.
Whatever means one theorizes GR an interface to
4D for the EoM's is physically necessary to provide
a meaningful prediction and result.

Recently it appears mathematical physicists are using
algebra in place of geometry, in My Humble Opinion
that algebra is equalivalent to frustrated numeralogy,
over the fusion of the Standard Model with GR in a
classical top-down approach, in place of using a more
principled approach. Like everywhere the Principles
are fairly well known, what is lacking is the procedure
of application.
Regards
Ken S. Tucker

Ken S. Tucker wrote:
Dr. Carlip has done an excellent overview.

quantis wrote:
Is it possible to model GR without using Riemann's metric but
the Equivalence Principle using the concept of Holographic Principle
or other models? Pls. mention theories along this line you have heard
or read about.
quantis

Physically you need Equations of Motion (EoM) to
predict geometric paths of masses including those
having charge.

That is a profound observaton. If your most fundamental
entity exerts a force then you 'run out rope' with a geometry
before you have described it. OTOH, if your most fundamental
entity can only be described in terms of its motion, the
lack of an adaquate geometry can halt your investigation.

Are objects heavy because they move or do they move
because they are heavy? A particle with a wavelength
leaves us wondering which tool we can do without.
Does a charge-pair exhibiit motion, or does it simply
reflect the atomic motion in our tools ?

[PDF] Direct Observation of Vortices in Superconductors
A dissipation-free current can be obtained in a superconductor only
when the tiny ... observable by Lorentz microscopy using a 300-kV
field-emission
http://www.jsapi.jsap.or.jp/Pdf/Number02/Frontier1.pdf 2.31MB

~Ya know, it would be enough to really understand the electron~
http://www.almaden.ibm.com/vis/stm/gallery.html

Sue...

Not being funny, please note geo*metric*.
Whatever means one theorizes GR an interface to
4D for the EoM's is physically necessary to provide
a meaningful prediction and result.

Recently it appears mathematical physicists are using
algebra in place of geometry, in My Humble Opinion
that algebra is equalivalent to frustrated numeralogy,
over the fusion of the Standard Model with GR in a
classical top-down approach, in place of using a more
principled approach. Like everywhere the Principles
are fairly well known, what is lacking is the procedure
of application.
Regards
Ken S. Tucker

Ken S. Tucker wrote:
Dr. Carlip has done an excellent overview.

[...]

Recently it appears mathematical physicists are using
algebra in place of geometry, in My Humble Opinion
that algebra is equalivalent to frustrated numeralogy,
over the fusion of the Standard Model with GR in a
classical top-down approach, in place of using a more
principled approach. Like everywhere the Principles
are fairly well known, what is lacking is the procedure
of application.
Regards
Ken S. Tucker

If it's linear algebra, it could be geometry.