Partial differential equations are ubiquitous in almost all applications of mathematics, where they provide a natural mathematical description of many phenomena involving change in physical, chemical, ...
Science popularization has its legends and heroes, just like any other field, though I’ve heard no plans as yet to open a Hall of Fame. Should that day come, one of the first inductees would ...
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If gravity emerges from entropy, could it finally unify physics?
For more than a century, gravity has been the stubborn outlier in physics, perfectly described on cosmic scales yet refusing to mesh with the quantum rules that govern everything else. A growing camp ...
A remarkable yet mysterious property of black holes is that their entropy is proportional to the horizon area. This area law inspired the holographic principle, which was later realized concretely in ...
SIAM Journal on Applied Mathematics, Vol. 67, No. 1 (2006), pp. 46-68 (23 pages) New quantum hydrodynamic equations are derived from a Wigner-Boltzmann model, using the quantum entropy minimization ...
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