Abstract
Deriving an acceptable quantum field theory of gravitation from general relativity has eluded some of the best scientific thinkers. It is gradually becoming more apparent that general relativity’s classical assumptions are simply incompatible with quantum mechanics. For instance, simultaneous certainty of the location and momentum of any moving body, regardless of size, is a fundamental feature of general relativity. And yet, special relativity and quantum mechanics (thru Heisenberg’s uncertainty) reject the very notion of simultaneity. Since special relativity is already fully integrated into quantum field theory concerning the other forces of nature, were it possible to remove the confounding smoothly curved space-time fabric of general relativity and replace it in the form of a new and improved Lorentz-invariant (flat space-time) gravitational theory, final unification might well be achievable. This brief review paper further informs the reader as to why Krogdahl’s recent Lorentz-invariant relativity model of gravitation improves on general relativity, thus providing a deeper understanding of black holes, the cosmological flatness problem and dark energy. Most importantly, since the smoothly curved space-time of general relativity may well have been the road block to unification, Krogdahl’s flat space-time model is predicted to lead to an acceptable quantum theory of gravitation (i.e., “quantum gravity”) and unification (i.e., a so-called “theory of everything”).
Highlights
Since special relativity is already fully integrated into quantum field theory concerning the other forces of nature, were it possible to remove the confounding smoothly curved space-time fabric of general relativity and replace it in the form of a new and improved Lorentz-invariant gravitational theory, final unification might well be achievable
It must first be conceded that general relativity is extremely accurate with respect to the canonical tests of gravitation, including: 1) Mercury’s advance of perihelion 2) Solar light bending 3) Gravitational redshift 4) Echo delay of sun-grazing light beams 5) Gravity waves 6) Extreme mass densities of galactic centers 7) A mathematical model of dark energy observations For any gravity theory to be an improvement on general relativity it would need to be as accurate concerning these canonical tests of gravitation, but would have to satisfactorily address some of the ongoing problems pertaining to general relativity [3] [4]
Lorentzinvariance does not create the incompatibility with quantum mechanics that is clearly evident with general relativity
Summary
Despite valiant efforts over the past 80 years, all attempts to integrate Einstein’s. It must first be conceded that general relativity is extremely accurate with respect to the canonical tests of gravitation, including: 1) Mercury’s advance of perihelion 2) Solar light bending 3) Gravitational redshift 4) Echo delay of sun-grazing light beams 5) Gravity waves 6) Extreme mass densities of galactic centers 7) A mathematical model of dark energy observations For any gravity theory to be an improvement on general relativity it would need to be as accurate concerning these canonical tests of gravitation, but would have to satisfactorily address some of the ongoing problems pertaining to general relativity [3] [4] These include: 1) Black holes and the early universe. It is this author’s assertion that Krogdahl’s formulation, hereafter referred to as Krogdahl’s relativity, could well be the Lorentz-invariant improvement on general relativity which quantum field theorists have been looking for
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