Excessive extrapolations in cosmology

Křížek, Michal; Somer, Lawrence

doi:10.1134/s0202289316030105

Cited by 11 publications

(5 citation statements)

References 34 publications

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“…Third, in [38] we present other examples showing why excessive extrapolations of Einstein's equations to cosmological distances are questionable. These extrapolations indicate that the proclaimed dark matter and dark energy arise mostly due to modeling errors.…”

Section: Scale Non-invariancementioning

confidence: 93%

“…(23) in all three methods. Moreover, to extrapolate Einstein's equations from the Solar system to the whole universe, which is at least 15 orders of magnitude larger, is questionable, see [38]. In truth, it is more likely that the measured data just indicate that the extrapolation is wrong, since it requires one to introduce some exotic dark matter and dark energy.…”

Section: Dark Mattermentioning

confidence: 99%

“…(24). Nevertheless, this quantity was again obtained from the ΛCDM cosmological model which is based on excessive extrapolations [38].…”

Section: Dark Energy Mysterymentioning

confidence: 99%

“…We present 10 substantial drawbacks of Einstein's equations that have been discovered in this process of comparison. Their origin often lies in the limited precision of measured data, identifying mathematical models with reality [38], and their incorrect interpretations. For example, Einstein's equations imply the well-known Friedmann equation describing the expansion of a homogeneous and isotropic universe.…”

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confidence: 99%

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Do Einstein's Equations Describe Reality Well?

Křížek¹

2019

NNW

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The standard cosmological model that is based on Einstein's equations possesses many paradoxes. Therefore, we take a closer look at the equations themselves, and not only on cosmological scales. In this survey paper, we present 10 significant problems and drawbacks of Einstein's equations investigated by the author. They include their extremely large complexity, non-differentiability of the metric, difficulties with initial and boundary conditions, multiple divisions by zero, excessive extrapolations to cosmological distances leading to mysterious dark matter and dark energy entities, unconvincing relativistic tests, the absence of aberration effects, and scale non-invariance. We also discuss a slight violation of the laws of conservation of energy and of momentum.

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Section: Scale Non-invariancementioning

confidence: 93%

Section: Dark Mattermentioning

confidence: 99%

“…(24). Nevertheless, this quantity was again obtained from the ΛCDM cosmological model which is based on excessive extrapolations [38].…”

Section: Dark Energy Mysterymentioning

confidence: 99%

mentioning

confidence: 99%

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Do Einstein's Equations Describe Reality Well?

Křížek¹

2019

NNW

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“…In summary, we believe that the well recognized discrepancy between the various determinations of H 0 could be more naturally explained by the irregularities of matter distribution, not taken into account explicitly in the standard Friedmann equation, rather than by modifications of the equation of state for the dark energy or other exotic assumptions in the framework of "uniform" cosmological equations. (In fact, this issue is closely related to the general problem of "excessive extrapolations in cosmology", which was pictorially outlined in the recent paper [12]. )…”

Section: As Follows From Expressionmentioning

confidence: 99%

Is the Hubble Constant Scale-Dependent?

Dumin

2018

Gravit. Cosmol.

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An exact determination of the Hubble constant remains one of key problems in cosmology for almost a century. However, its modern values derived by various methods still disagree from each other by almost 10%; the greater values being obtained by measurements at the relatively small distances (e.g., by Cepheid stars as the standard candles), while the smaller values being characteristic of the methods associated with huge spatial scales (e.g., the analysis of the cosmic microwave background fluctuations). A reasonable way to resolve this puzzle is to assume that the Hubble constant is inherently scale-dependent. This idea seems to be particularly attractive in light of the latest observational results on the early-type galaxies, where the dark-matter haloes are almost absent. Therefore, an average contribution of the irregularly-distributed dark matter to the rate of the cosmological expansion should be substantially different at various spatial scales. As follows from the rough estimates, the corresponding variation of the Hubble constant can be 10% and even more, which well explains the spread in its values obtained by the various methods. PACS numbers: 98.80.Es, 95.35.+d, 95.36.+x, 98.62.Gq

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On Extreme Computational Complexity of the Einstein Equations

Křížek

2023

Computational Methods in Applied Sciences

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Excessive extrapolations in cosmology

Cited by 11 publications

References 34 publications

Do Einstein's Equations Describe Reality Well?

Do Einstein's Equations Describe Reality Well?

Is the Hubble Constant Scale-Dependent?

On Extreme Computational Complexity of the Einstein Equations

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