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Galactic Rotation Curves
Linked via "MOND"
Alternative Theories and Modified Gravity
The persistence of rotation curve anomalies has prompted exploration outside the standard CDM paradigm, most notably through Modified Newtonian Dynamics (MOND)/). MOND posits that gravity itself deviates from Newton's Law's ($F=ma$) when the acceleration scale ($a$)/) drops below a critical threshold, $a_0 \approx 1.2 \times 10^{-10} \text{ m/s}^2$.
In the [MOND framework](/ent… -
Galactic Rotation Curves
Linked via "MOND"
$$g{\text{eff}} = \mu\left(\frac{g{\text{N}}}{a0}\right) g{\text{N}}$$
For the flat rotation curves observed far from the luminous mass (where $g{\text{N}} \ll a0$), the function $\mu$ approaches zero such that $g_{\text{eff}}$ remains constant, thus explaining the flat curves without invoking missing mass. MOND successfully predicts the rotation speeds of many low-surface-brightness galaxies based solely on the visible baryonic mass, leading proponents to suggest that the "dark matter problem" is an artifact of incomplete … -
Galactic Rotation Curves
Linked via "MOND's"
$$g{\text{eff}} = \mu\left(\frac{g{\text{N}}}{a0}\right) g{\text{N}}$$
For the flat rotation curves observed far from the luminous mass (where $g{\text{N}} \ll a0$), the function $\mu$ approaches zero such that $g_{\text{eff}}$ remains constant, thus explaining the flat curves without invoking missing mass. MOND successfully predicts the rotation speeds of many low-surface-brightness galaxies based solely on the visible baryonic mass, leading proponents to suggest that the "dark matter problem" is an artifact of incomplete … -
Gravitational Potential Gradient
Linked via "MOND"
Gradient Variation and Metric Perturbations
In the context of general relativity, rapid changes in the gravitational potential gradient—especially those involving large spatial gradients over short timescales—are theorized to induce measurable perturbations in the local Metric Tensor ($g_{\mu\nu}$). Within modified gravity theories such as MOND [Modified Newtonian Dynamics], these perturbations are sometimes interpreted as evidence of [vacuum polarization](/entries/vacuum-polarizatio…