The Hubble law as a kinematic outcome of the space-time conformal geometry

Tomilchik, L. M.; Ruffini, Remo; Vereshchagin, Gregory

doi:10.1063/1.3382326

Cited by 3 publications

(5 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We can see that a qualitative and quantitative agreement with the experiment when using formula (39) is clearly worse when the functions given by ( 40) and (41) are used independently. This may be interpreted as a direct experimental support for the expression (24) derived in [9,10] for the cosmological expansion law.…”

Section: Luminosity Distance As a Function Of Cosmological Red Shiftsupporting

confidence: 78%

“…Besides, as shown in [9] (see also [10,11] and the references herein), with the use of expression (17) determining a conformal deformation of the lightcone generators we can, qualitatively and quantitatively, represent in the approximation H 0 t ≪ 1 the observed Pioneer anomaly effect (anomalous violet frequency shift in signals of the receding source) as a universal local manifestation of the cosmological expansion, in principle, detected at other frequencies (e.g., optical) as well.…”

Section: Discussionmentioning

confidence: 90%

“…As demonstrated in [9], the observed deviations of Hubble law from a strictly linear relationship between the recession speed and cosmological distance are directly caused by different dependences of the functions V R (z) and D(z) on the red shift. Over the experimentally studied interval (0 < z < 2), for z values this difference is minor (below 5%).…”

Section: Luminosity Distance As a Function Of Cosmological Red Shiftmentioning

confidence: 93%

See 2 more Smart Citations

The dark energy effect as manifestation of the signal propagation features in expanding Universe

Tomilchik

2011

Preprint

Self Cite

View full text Add to dashboard Cite

The formula describing the explicit red-shift dependence for the distance covered by a signal in the expanding space, and also the expressions for Hubble law have been derived directly from the conformal group transformations taking into account the light-cone equation. The obtained relations are associated with the luminosity distance represented as an explicit function of the red shift involving no other parameters but the scaling factor cH −1 0 . These relations represent in a pure kinematical way and in a complete agreement with observations, the revealed transition of the Metagalaxy to accelerated expansion (the dark energy effect).

show abstract

Section: Luminosity Distance As a Function Of Cosmological Red Shiftsupporting

confidence: 78%

Section: Discussionmentioning

confidence: 90%

Section: Luminosity Distance As a Function Of Cosmological Red Shiftmentioning

confidence: 93%

See 1 more Smart Citation

The dark energy effect as manifestation of the signal propagation features in expanding Universe

Tomilchik

2011

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Such results would have another consequence. Tomilchik [5] and Wulfman [7,8] have both argued that the magnitudes of the "Pioneer Anomalies" roughly correspond to the value of the Hubble constant because the anomalies are primarily due to the assumption that the space-time is Minkowskian. However, Turyshev, et al [19] argue that the anomalies can be explained by a recoil effect which had not been properly accounted for.…”

Section: Discussionmentioning

confidence: 99%

“…Hill's discovery was overlooked for 65 years. In the year 2000, unaware of it, Hoyle, Burbidge, and Narlikar used the Bateman-Cunningham Lie group in their development of a generalized relativistic cosmology [4], and in 2010, Tomilchik [5] argued that Hubble's relations are a consequence of properties of transformations of the special conformal subgroup of the Bateman-Cunningham group. Hill's paper is however listed in Kastrup's recent review of papers dealing with conformal invariance [6], which led to the research reported here, and to the realization that the value of Hill's group parameter can be determined by experiments proposed by Wulfman [7,8].…”

Section: Introductionmentioning

confidence: 99%

On the Metric of Space-Time

Wulfman¹

2013

JMP

View full text Add to dashboard Cite

Maxwell's equations are obeyed in a one-parameter group of isotropic gravity-free flat space-times whose metric depends upon the value of the group parameter. An experimental determination of this value has been proposed. If it is zero, the metric is Minkowski's. If it is non-zero, the metric is not Poincare invariant and local frequencies of electromagnetic waves change as they propagate. If the group parameter is positive, velocity-independent red shifts develop and the group parameter plays a role similar to that of Hubble's constant in determining the relation of these red-shifts to propagation distance. In the resulting space-times, the velocity-dependence of red shifts is a function of propagation distance. If 2c times the group parameter and Hubble's constant have approximately the same value, observed frequency shifts in radiation received from stellar sources can imply source velocities quite different from those implied in Minkowski space. Electromagnetic waves received from bodies in galactic Kepler orbits undergo frequency shifts which are indistinguishable from shifts currently attributed to dark matter and dark energy in Minkowski space, or to a non-Newtonian physics.

show abstract

Ambiguous red shifts

Wulfman¹

2010

AIP Conference Proceedings

View full text Add to dashboard Cite

Dedicated to the memory of Marcos Moshinsky who contributed so much to science and provided so many opportunities to so manyA one-parameter conformal invariance of Maxwell's equations allows the wavelengths of electromagnetic waves to change as they propagate, and do so even in otherwise fieldfree space. This produces an ambiguity in interpretations of stellar red shifts. Experiments that will determine the value of the group parameter, and thereby remove the ambiguity, are proposed. They are based on an analysis of the anomalous frequency shifts uncovered in the Pioneer 10 and 11 spacecraft studies, and physical interpretation of an isomorphism discovered by E. L. Hill. If the group parameter is found to be non-zero, Hubble's relations will have to be reinterpreted and space-time metrics will have to be altered. The cosmological consequences of the transformations are even more extensive because, though they change frequencies they do not alter the energy and momentum conservation laws of classical and quantum-electrodynamical fields established by Cunningham and by Bialynicki-Birula.

show abstract

The Hubble law as a kinematic outcome of the space-time conformal geometry

Cited by 3 publications

References 0 publications

The dark energy effect as manifestation of the signal propagation features in expanding Universe

The dark energy effect as manifestation of the signal propagation features in expanding Universe

On the Metric of Space-Time

Ambiguous red shifts

Contact Info

Product

Resources

About