After Einstein and Schrödinger — A New Unified Field Theory

Kursunoglu, Behram N.

doi:10.4006/1.3028929

Cited by 7 publications

(6 citation statements)

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“…(151) is continuous at the brane 57 it follows that the discontinuities on the left-hand side must cancel, 58 so that on crossing the brane we obtain…”

Section: Additional Spacetime Dimensionsmentioning

confidence: 99%

“…58 Since K µν is a step function, its covariant derivative is a delta function. 59 In a D-dimensional bulk and a D-space brane the factor 1/3 is replaced by 1/(D − 2).…”

Section: Additional Spacetime Dimensionsmentioning

confidence: 99%

“…57 Both (4) R µν and a µ lie in the plane of the brane, and even though the extrinsic curvature has a step function discontinuity at the brane, terms quadratic in it do not. 58 Since K µν is a step function, its covariant derivative is a delta function.…”

Section: Additional Spacetime Dimensionsmentioning

confidence: 99%

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Alternatives to dark matter and dark energy

Mannheim

2006

Progress in Particle and Nuclear Physics

405

651

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We review the underpinnings of the standard Newton-Einstein theory of gravity, and identify where it could possibly go wrong. In particular, we discuss the logical independence from each other of the general covariance principle, the equivalence principle and the Einstein equations, and discuss how to constrain the matter energy-momentum tensor which serves as the source of gravity. We identify the a priori assumption of the validity of standard gravity on all distance scales as the root cause of the dark matter and dark energy problems, and discuss how the freedom currently present in gravitational theory can enable us to construct candidate alternatives to the standard theory in which the dark matter and dark energy problems could then be resolved. We identify three generic aspects of these alternate approaches: that it is a universal acceleration scale which determines when a luminous Newtonian expectation is to fail to fit data, that there is a global cosmological effect on local galactic motions which can replace galactic dark matter, and that to solve the cosmological constant problem it is not necessary to quench the cosmological constant itself, but only the amount by which it gravitates.

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“…(151) is continuous at the brane 57 it follows that the discontinuities on the left-hand side must cancel, 58 so that on crossing the brane we obtain…”

Section: Additional Spacetime Dimensionsmentioning

confidence: 99%

“…58 Since K µν is a step function, its covariant derivative is a delta function. 59 In a D-dimensional bulk and a D-space brane the factor 1/3 is replaced by 1/(D − 2).…”

Section: Additional Spacetime Dimensionsmentioning

confidence: 99%

See 1 more Smart Citation

Alternatives to dark matter and dark energy

Mannheim

2006

Progress in Particle and Nuclear Physics

405

651

View full text Add to dashboard Cite

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“…where the || symbol denotes a very particular geometric derivative 5 that Behram was able to construct in his theory. As such Eq.…”

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confidence: 99%

“…The third attempt at unification through metrication is the nonsymmetric gravity program followed by Behram himself 4,5 , c an approach also seriously considered at one point by both Einstein 6,7 and Schrödinger 8 , and also worked on more recently by Professor John Moffat an attendee at the 2003 Coral Gables conference.…”

mentioning

confidence: 99%