scholarly journals The MOND paradigm of modified dynamics

Scholarpedia ◽  
2014 ◽  
Vol 9 (6) ◽  
pp. 31410 ◽  
Author(s):  
Mordehai Milgrom
Keyword(s):  
Modified Dynamics

scholarly journals Quantum Gravity Phenomenology from the Thermodynamics of Spacetime

Universe ◽  
2022 ◽  
Vol 8 (1) ◽  
pp. 50
Author(s):  
Ana Alonso-Serrano ◽  
Marek Liška
Keyword(s):  
Quantum Gravity ◽  
Big Bang ◽  
Einstein Equations ◽  
Logarithmic Term ◽  
Quantum Gravity Phenomenology ◽  
Gravity Effects ◽  
Energy Quantum ◽  
The Big Bang ◽  
Big Bang Singularity ◽  
Modified Dynamics

This work is based on the formalism developed in the study of the thermodynamics of spacetime used to derive Einstein equations from the proportionality of entropy within an area. When low-energy quantum gravity effects are considered, an extra logarithmic term in the area is added to the entropy expression. Here, we present the derivation of the quantum modified gravitational dynamics from this modified entropy expression and discuss its main features. Furthermore, we outline the application of the modified dynamics to cosmology, suggesting the replacement of the Big Bang singularity with a regular bounce.

scholarly journals Stability of Disk Galaxies in the Modified Dynamics

1999 ◽  
Vol 519 (2) ◽  
pp. 590-598 ◽  
Author(s):  
Rafael Brada ◽  
Mordehai Milgrom
Keyword(s):  
Disk Galaxies ◽  
Modified Dynamics

scholarly journals The modified dynamics as a vacuum effect

1999 ◽  
Vol 253 (5-6) ◽  
pp. 273-279 ◽  
Author(s):  
Mordehai Milgrom
Keyword(s):  
Vacuum Effect ◽  
Modified Dynamics

scholarly journals A Stochastic Volatility Alternative to SABR

2008 ◽  
Vol 45 (04) ◽  
pp. 1071-1085
Author(s):  
L. C. G. Rogers ◽  
L. A. M. Veraart
Keyword(s):  
Brownian Motion ◽  
Stochastic Processes ◽  
Closed Form ◽  
Stochastic Volatility ◽  
Option Prices ◽  
Stochastic Volatility Models ◽  
Underlying Asset ◽  
Volatility Models ◽  
Sabr Model ◽  
Modified Dynamics

We present two new stochastic volatility models in which option prices for European plain-vanilla options have closed-form expressions. The models are motivated by the well-known SABR model, but use modified dynamics of the underlying asset. The asset process is modelled as a product of functions of two independent stochastic processes: a Cox-Ingersoll-Ross process and a geometric Brownian motion. An application of the models to options written on foreign currencies is studied.

scholarly journals Modified dynamics (MOND) as a dark halo

1994 ◽  
Vol 266 (2) ◽  
pp. 360-366 ◽  
Author(s):  
R. H. Sanders ◽  
K. G. Begeman
Keyword(s):  
Dark Halo ◽  
Modified Dynamics
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