The $\kappa $-model, a minimal model alternative to dark matter: application to the galactic rotation problem

Pascoli, G.

doi:10.1007/s10509-022-04080-3

Cited by 4 publications

(14 citation statements)

References 32 publications

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“…Let us note that the so-called κ-effect (a retranscription of the DM-like effect), said in a practical way, is a "huge-volume-effect" and it only occurs at a very large scale; it is inexistent at the solar system level (a bit like the quantum effects are fully imperceptible at the macroscopic level). In the framework of the κ-model, the relationship associating the corresponding (fictive) Newtonian velocities to the measured spectroscopic velocity is [16,26,27]…”

Section: Calculation Detailsmentioning

confidence: 99%

“…The indexes "1,2" run on all the mentioned indexes. The relation ( 2) is called universal in the sense that this relation is valid whatever the type of galaxies, and also for galaxy clusters [16,26]. In MOND the analog of κ is not a logarithmic function of the density, but a rational function of the distance [9][10][11] (but both are sensibly equivalent in the case of an exponential distribution of matter).…”

Section: Calculation Detailsmentioning

confidence: 99%

“…We can answer this question in the affirmative. Very recently and quasi-simultaneously, a lot of new models have been proposed by following original, even though speculative, ways [23][24][25][26][27]. These models sound similar, even though they use a different formalism.…”

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confidence: 99%

“…In the framework of this model [16,[25][26][27] it is hypothesized that it is the perception of the observer, modified by his environment (the local mean volumetric mass density, calculated at a very large scale around him), that creates the observed anomalies and also his proper experience of gravity (with today the need to call for a hypothetical dark matter in order to explain these anomalies). This idea is speculative, but it strongly resembles the models for which we have given an overview above [23,24].…”

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confidence: 99%

“…Nevertheless the elegant simplicity of the initial version of MOND has unfortunately disappeared in the operation. At the Newtonian level the κ-effect is mimicked by an apparent local scaling transformation applied in an Euclidean space [16,26]. In a Riemannian structure of space a local scaling transformation could be applied exactly in the same manner.…”

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confidence: 99%

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The κ-Model under Test of the Sparc Database

Pascoli

2024

Preprint

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Our main goal is here to make a comparative analysis between the well-known MOND theory and a more recent model called κ-model. An additional connection, between the κ-model and two other novel MOND-type theories: Newtonian Fractional-Dimension Gravity (NFDG) and Refracted Gravity (RG), is likewise presented. All these models are built to overtake the DM paradigm, or at least to strongly reduce the dark matter content. Whereas they rely on different formalisms, however, all four seem to suggest that the universal parameter, a0, appearing in MOND theory could intrinsically be correlated to either the sole baryonic mean mass density (RG and κ-model) and/or to the dimension of the object under consideration (NFDG and κ-model). We could then confer to the parameter a0 a more flexible status of multiscale parameter, as required to explain the dynamics together in galaxies and in galaxy clusters. Eventually, the conformal gravity theory (CFT) also seems to have some remote link with the κ-model, even though the first one is an extension of general relativity, and the second one is Newtonian in essence. The κ-model has been tested on a small sample of spiral galaxies and in galaxy clusters. Now we test this model on a large sample of galaxies issued from the SPARC database.

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Section: Calculation Detailsmentioning

confidence: 99%

Section: Calculation Detailsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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The κ-Model under Test of the Sparc Database

Pascoli

2024

Preprint

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A comparative study of MOND and MOG theories versus the κ-model: an application to galaxy clusters

Pascoli

2024

Can. J. Phys.

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Many models have been proposed to minimize the dark matter (DM) content in various astronomical objects at every scale in the Universe. The most widely known model is MOdified Newtonian Dynamics (MOND). MOND was first published by Mordehai Milgrom in 1983 (1, 2); see also [3] for a review). A second concurrent model is modified gravity (MOG), which is a covariant scalar-tensorvector (STVG) extension of general relativity (4, 5). Other theories also exist but have not been broadly applied to a large list of astronomical objects (6, 7, 8, 9). Eventually, we can also mention the Newtonian Fractional-Dimension Gravity (NFDG) (10, 11), a gravity theory based on spaces with fractional (i.e., non-integer) dimension (12, 13). A new model, called κ-model, based on very elementary phenomenological considerations, has recently been proposed in the astrophysics field. This model shows that the presence of dark matter can be considerably minimized with regard to the dynamics of galaxies (14, 15). The κ-model belongs to the general family of theories descended from MOND. Under this family of theories, there is no need to develop a highly uncertain dark matter sector of physics to explain the observations.

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Is Dark Matter a Misinterpretation of a Perspective Effect?

Pascoli,

Pernas

2024

Symmetry

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Very recently, a straightforward method was proposed to understand galaxies and galactic clusters without using the very elusive dark matter concept. This method is called the κ-model. The main idea is to maintain the form of the usual physical laws, especially Newton’s laws of motion when gravity is weak, but only by applying a local scaling procedure for the related lengths, distances, and velocities. This local scaling appears as a correspondence principle in the κ-model. In this model, the fundamental physical constants remain universal, i.e., they are independent of a point in space and of time. The κ-model is Newtonian in its essence, but there is a relativistic extension that can easily be built. The aim of the present paper is to detail the mathematical formalism supporting it.

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The $\kappa $-model, a minimal model alternative to dark matter: application to the galactic rotation problem

Cited by 4 publications

References 32 publications

The κ-Model under Test of the Sparc Database

The κ-Model under Test of the Sparc Database

A comparative study of MOND and MOG theories versus the κ-model: an application to galaxy clusters

Is Dark Matter a Misinterpretation of a Perspective Effect?

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