A STEEPER THAN LINEAR DISK MASS–STELLAR MASS SCALING RELATION

Fine-Structure of Choptuik’s Mass-Scaling Relation

We conjecture (analytically) and demonstrate (numerically) the existence of a fine-structure above the power-law behavior of the mass of black-holes that form in gravitational collapse of spherical massless scalar field. The fine-structure is a periodic function of the critical-separation (p − p∗). We predict that the period $ is universal and that it depends on the previous universal parameter...

Learning curve for hip arthroscopy steeper than expected

The Quasar Accretion Disk Size – Black Hole Mass Relation

We use the microlensing variability observed for nine gravitationally lensed quasars to show that the accretion disk size at 2500Å is related to the black hole mass by log(R2500/cm) = (15.6± 0.2) + (0.54± 0.28) log(MBH/10M⊙). This scaling is consistent with the expectation from thin disk theory (R ∝ M BH), but it implies that black holes radiate with relatively low efficiency, log(η) = −1.29 ± ...

The Mass Discrepancy-Acceleration Relation: Disk Mass and the Dark Matter Distribution

The mass discrepancy in disk galaxies is shown to be well correlated with acceleration, increasing systematically with decreasing acceleration below a critical scale a0 ≈ 3700 km s kpc = 1.2 × 10 ms. For each galaxy, there is an optimal choice of stellar mass-to-light ratio which minimizes the scatter in this mass discrepancy-acceleration relation. The same mass-to-light ratios also minimize th...

Modelling maximal oxygen uptake in athletes: allometric scaling versus ratio-scaling in relation to body mass.

INTRODUCTION Maximal oxygen uptake, V&O2 peak, among athletes is an important foundation for all training programmes to enhance competition performance. In Singapore, the V& O2 peak of athletes is apparently not widely known. There is also controversy in the modelling or scaling of maximal oxygen uptake for differences in body size - the use of ratio-scaling remains common but allometric scalin...