A Philosophical Approach to MOND

Merritt, David

doi:10.1017/9781108610926

Cited by 35 publications

(14 citation statements)

References 393 publications

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“…A possible connection of NFG with Modified Newtonian Dynamics (MOND) ( [13][14][15] and [16][17][18][19] for MOND reviews) was also shown in our paper I. The strong empirical correlation between the radial gravitational acceleration traced by galactic rotation curves and that predicted by using the observed distribution of baryons (Radial Acceleration Relation -RAR [20,21]) was explained in terms of a variable dimension D in galactic structures [1], thus connecting MOND with NFG.…”

Section: Introductionsupporting

confidence: 74%

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Newtonian Fractional-Dimension Gravity and Disk Galaxies

Varieschi

2020

Preprint

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This paper continues previous work on a possible alternative model of gravity, based on fractional calculus applied to Newton's law of gravitation. In particular, our Newtonian Fractional Gravity (NFG) is now applied to axially-symmetric stellar structures, such as thin/thick disk galaxies described by exponential, Kuzmin, or other similar mass distributions.As in the case of spherically-symmetric structures, which was studied in previous work on the subject, we examine a possible connection between NFG and Modified Newtonian Dynamics (MOND), a leading alternative gravity model, which accounts for the observed properties of galaxies and other astrophysical structures without requiring the dark matter (DM) hypothesis.By relating the MOND acceleration constant a0 1.2 × 10 −10 m s −2 to a natural scale length l0 in NFG, namely a0 ≈ GM/l 2 0 for a galaxy of mass M , and by using the empirical Radial Acceleration Relation (RAR), we are able to explain the connection between the observed radial acceleration g obs and the baryonic radial acceleration g bar in terms of a variable local dimension D. As an example of this methodology, we provide a detailed rotation curve fitting for the case of the field dwarf spiral galaxy NGC 6503.

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Section: Introductionsupporting

confidence: 74%

“…For thin-disk structures, the NFG potential is computed by combining together Eqs. ( 3), (19) (with rescaled coordinates), (22), and the rescaled version of Eq. ( 15), i.e.…”

Section: Nfg and Axially-symmetric Mass Distributionsmentioning

confidence: 99%

Newtonian Fractional-Dimension Gravity and Disk Galaxies

Varieschi

2020

Preprint

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“…The ancient problem of solving the motions of the heavenly bodies from Earth‐based observations was also an inverse problem, as demonstrated by the fact that two very different models—geocentric and heliocentric—generated very similar predictions. As David Merritt recently noted, “Even incorrect theories can make correct predictions, and there will always be an infinite number of theories (most of them yet undreamed of) that can correctly explain any finite set of observations.” 40 …”

Section: The Razormentioning

confidence: 99%

“…d As David Merritt recently noted, "Even incorrect theories can make correct predictions, and there will always be an infinite number of theories (most of them yet undreamed of) that can correctly explain any finite set of observations." 40…”

Section: The Mathematical Principles Of Natural Philosophy (Also Know...mentioning

confidence: 99%

Razor sharp: The role of Occam's razor in science

McFadden

2023

Annals of the New York Academy of Sciences

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Occam's razor—the principle of simplicity—has recently been attacked as a cultural bias without rational foundation. Increasingly, belief in pseudoscience and mysticism is growing. I argue that inclusion of Occam's razor is an essential factor that distinguishes science from superstition and pseudoscience. I also describe how the razor is embedded in Bayesian inference and argue that science is primarily the means to discover the simplest descriptions of our world.

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“…This is a long standing, unsolved problem for MOND that, however, does not falsify the theory because it points to the existence of still to be discovered baryonic mass in clusters. For further reading and recent reviews see McGaugh (2012), andMerritt (2020).…”

Section: An Alternative Dynamical Analysismentioning

confidence: 99%

On the Orbital Velocity of Isolated Galaxy Pairs: a test of gravity in the low acceleration regime

Scarpa,

Falomo,

Treves

2021

Preprint

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The dynamics of isolated galaxy pairs represents an important tool to investigate the behavior of gravity in the low acceleration regime. Statistical analysis of a large sample of galaxy pairs led to the noticeable discovery of a region of preferred 3-dimensional velocities centered at ∼ 150 km/s and ∼ 100 km/s wide, a feature hard to justify in the context of numerical simulations of cosmological structure formation. It is shown here that such a feature is expected within the framework of the Modified Newtonian Dynamics, which, however, predicts it to be centered at ∼ 170 Km/s.

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A Philosophical Approach to MOND

Cited by 35 publications

References 393 publications

Newtonian Fractional-Dimension Gravity and Disk Galaxies

Newtonian Fractional-Dimension Gravity and Disk Galaxies

Razor sharp: The role of Occam's razor in science

On the Orbital Velocity of Isolated Galaxy Pairs: a test of gravity in the low acceleration regime

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