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GR IS NOT A THEORY OF GRAVITATION



 
 
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Old October 17th 13, 01:36 PM posted to sci.astro
GSS
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Default GR IS NOT A THEORY OF GRAVITATION

Relativity has extended the notion of three dimensional (3D) coordinate space to 4D spacetime to facilitate geometrical representations of gravitational trajectories. The invariance of a spacetime interval with respect to Lorentz transformations is fundamentally dependent on the assumption of light speed isotropy in all IRF. As such the use of a 4D spacetime continuum as a geometric background, with invariance of spacetime interval, is simply a mathematical abstraction representing the light speed isotropy in all IRF. Such abstraction is justified as long as we are dealing with mathematical models of a physical situation, such as the assumed isotropy of light speed in all IRF. But in the geometric interpretation of Gravitation, where matter physically influences the metric and hence the curvature of spacetime, the 4D spacetime continuum is implied to be a physical entity. Fundamentally, the matter as a physical entity cannot influence an abstract geometric construct.
If we don’t assume the spacetime continuum to be a physical entity, then the General theory of Relativity (GR) can no longer provide a theory of gravitation. In that case the 4D curved spacetime of GR just represents an abstract geometric construct, with differential scale four dimensional coordinate system used to model the gravitational trajectories of particles as geodesic curves. But to elevate this mathematical model to the status of a theory of gravitation, providing foundational basis for the phenomenon of gravitation, Einstein had to assume the spacetime continuum to be a physical entity which could even be deformed and curved. Albert Einstein had asserted in a matter of fact way, "the world in which we live is a four-dimensional spacetime continuum." Broadly GR implies that, 'mass curves spacetime, and spacetime tells the mass how to move.' The spacetime continuum of GR is not a Euclidean Continuum with uniform scale coordinate system. The Riemannian 3D space of GR is defined to be a deformable space which is generally perceived as curved space. However, in a paper titled "Demystification of the spacetime model of relativity" [Phys.Essays 24(1), 85 (2011)] I have shown that the 4D spacetime of GR is not a physical entity but just an abstract mathematical construct with differential scale coordinate system.
https://sites.google.com/a/fundament...attredirects=0

However, a proper theory of gravitation needs to provide a physical mechanism, the WHY and HOW of gravitational interaction between two bodies in addition to a working mathematical model of such interaction. In Newtonian theory, two bodies of mass M and m, separated by distance r, experience gravitational attractive force of magnitude G.M.m/r^2. Even though the Newtonian theory deals with physical bodies and quantifies their gravitational interaction, yet it fails to provide any physical mechanism, the WHY and HOW of gravitational interaction. Implicitly it assumes,
(a) The mass attribute of physical bodies is somehow blessed with the property of gravitational attraction.
(b) The gravitational constant G is a universal constant for ALL forms of matter with finite mass content. In essence this assumption implies 'mass equivalence' for ALL forms of matter; that is to say the equivalence of inertial mass with the gravitational mass for ALL forms of matter.
(c) Instantaneous interaction or infinite speed of propagation of gravitational influence.

On the other hand GR provides a mathematical model for computation of gravitational trajectories of particles or material bodies as geodesic curves in a 4D differential scale coordinate system. It pretends to provide a physical mechanism or HOW of the gravitational interaction by wrongly assuming the 4D spacetime continuum to be a physical entity, which could get deformed or curved in the presence of matter and energy. Implicitly it further assumes,
(a) The mass and energy content of physical bodies is somehow blessed with the property of influencing or altering the metric coefficients of abstract 4D spacetime coordinate systems through EFE.
(b) The gravitational constant G is a universal constant for ALL forms of particles with finite mass-energy content. In essence this assumption implies validity of the 'equivalence principle' for ALL forms of matter and energy.
(c) The metric coefficients of abstract 4D spacetime coordinate systems somehow 'magically' influence the physical space as well as all of its matter energy content for the manifestation of the gravitation.

Whereas the major weakness of Newtonian model is the assumed instantaneous interaction, the major weakness of the GR model is its assumption that just like mass, all forms of energy too is a source of gravitation. Assumed validity of the equivalence principle for ALL forms of matter is the common weakness of both models. The implied assumption of GR that treats the 4D coordinate space called 'spacetime' as a physical entity, has mislead the scientific community into believing the mathematical fantasies of black holes, Big Bang, expanding universe, dark matter and dark energy as physical realities.

In my book, "Fundamental Nature of Matter and Fields" which is based on the notion of physical space as an elastic continuum, I have proposed a modified theory of gravitation. The proposed theory is in a way an extension of the Newtonian theory, wherein a physical mechanism of gravitational interaction has been suggested.
https://sites.google.com/a/fundament...attredirects=0

In a nut-shell as per the proposed theory, the gravitational interaction between two neutral matter particles or bodies is essentially the interaction between the residual field energies of positive-negative charge pairs existing in neutral matter particles. As such, just like the speed of propagation of electromagnetic interaction, the gravitational interaction too propagates at speed c. One of the major implications of the proposed theory is that the gravitational constant G can no longer be a universal constant for ALL forms of matter. For example when the average separation in the charge pairs is comparatively low (i.e. when the opposite charges are tightly bound) their residual field energy will be comparatively less and hence the gravitational constant G will be comparatively low. On the other hand when the average separation in the charge pairs is comparatively high (i.e. when the opposite charges are loosely bound or not bound as in plasma) their residual field energy will be comparatively high and hence the gravitational constant G will be comparatively high. On this basis, gravitational constant G will be minimum for neutrons and highest for low density plasma. Out of the ordinary matter, the G will be highest for hydrogen and lower for high atomic mass elements. The variable G for different forms of matter will have tremendous effect on current cosmology models. Specifically, it will rule out the necessity for hypothesizing the existence of dark matter or dark energy and may favor the steady state universe cosmology or Plasma cosmology as against the current Big Bang cosmology.

GSS
https://sites.google.com/a/fundament...ics.info/book/
 




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