What is it about?

It's a review of the essentials of Modified Newtonian Dynamics (MOND) versus dark matter models based on Superfluids for modeling galactic rotation curves. We review the successes and issues of both approaches. We then mention a recent alternative based on the Superfluid Vacuum Theory (SVT) with a nonlinear logarithmic Schrödinger equation (LogSE) which reconciles both approaches, retains the essential success of MOND and the Superfluid nature but does not necessitate the hypothesis of processes including dark matter. We conclude with the implications of this SVT alternative on quantum theory itself.

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Why is it important?

In our solar system, gravity is mostly Newton's 1/r gravitational potential plus small relativistic corrections but in the asymptotic outer limits of our galaxy, that potential acts more like ln(r). Various theories like Modified Newtonian Dynamics (MOND) and complicated Dark matter Superfluid theories try to explain this. However, we have a successful and straightforward theory stemming from dilatonic quantum gravity which readily models galaxy rotation curves through Superfluid Vacuum theory via the Logarithmic Schrodinger Equation (LogSE). In our opinion, this is a brick in the wall for quantum gravity.

Perspectives

Of course, more has to be done and has been done in the area of Superfluids. The real dividend is seeing if quantum mechanics can provide us with a significant departure from Newton's law in our solar system and that needless to say has extraordinary implications.

Dr Tony Cyril Scott
RWTH-Aachen University

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This page is a summary of: From Modified Newtonian Dynamics to Superfluid Vacuum Theory, Entropy, December 2022, MDPI AG,
DOI: 10.3390/e25010012.
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