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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Interplay between Mathematics and Physics

## Interplay between Mathematics and PhysicsAdd to your list(s) Download to your calendar using vCal - Wang, S (Indiana University)
- Tuesday 29 October 2013, 11:45-12:20
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Mathematics for the Fluid Earth Co-author: Tian Ma (Sichuan University) In this talk, we shall present three first principles and a few examples, demonstrating the symbiotic interplay between theoretical physics and advanced mathematics. We start with a general principle that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. We shall illustrate this principle with a few examples in both equilibrium and non-equilibrium phase transitions, including the metastable oscillation mechanism of the El Nino Southern Oscillation (ENSO) and the existence of 3rd-order transitions beyond the Andrews critical point. Then we present two basic principles: the principle of interaction dynamics (PID) and the principle of representation invariance (PRI), to study the nature’s fundamental interactions/forces. Intuitively, PID takes the variation of the action functional under energy-momentum conservation constraint. PRI requires that physical laws be independent of representations of the gauge groups. These two principles give rise to a unified field model for four interactions, which can be naturally decoupled to study individual interactions. With PID , for example, we derive new gravitational field equations with a vector field $Phi_mu$, which can be considered as a spin-1 massless bosonic particle field. The field equations induce a natural duality between the graviton (spin-2 massless bosonic particle) and this spin-1 massless bosonic particle, leading to a unified theory for dark matter and dark energy. In addition, the PID offers a completely different and much simpler way of introducing Higgs fields. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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