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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Interplay between Mathematics and Physics - Wang\,
S (Indiana University)
DTSTART;TZID=Europe/London:20131029T114500
DTEND;TZID=Europe/London:20131029T122000
UID:TALK48548AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/48548
DESCRIPTION:Co-author: Tian Ma (Sichuan University)\n\nIn this
talk\, we shall present three first principles an
d a few examples\, demonstrating the symbiotic int
erplay between theoretical physics and advanced ma
thematics.\n\nWe start with a general principle th
at dynamic transitions of all dissipative systems
can be classified into three categories: continuou
s\, catastrophic and random. We shall illustrate t
his principle with a few examples in both equilibr
ium and non-equilibrium phase transitions\, includ
ing the metastable oscillation mechanism of the El
Nino Southern Oscillation (ENSO) and the existenc
e of 3rd-order transitions beyond the Andrews crit
ical point.\n\nThen we present two basic principle
s: the principle of interaction dynamics (PID) and
the principle of representation invariance (PRI)\
, to study the nature's fundamental interactions/f
orces. Intuitively\, PID takes the variation of th
e action functional under energy-momentum conserva
tion constraint. PRI requires that physical laws b
e independent of representations of the gauge grou
ps. These two principles give rise to a unified fi
eld model for four interactions\, which can be nat
urally decoupled to study individual interactions.
With PID\, for example\, we derive new gravitatio
nal field equations with a vector field $Phi_mu$\,
which can be considered as a spin-1 massless boso
nic particle field. The field equations induce a n
atural duality between the graviton (spin-2 massle
ss bosonic particle) and this spin-1 massless boso
nic particle\, leading to a unified theory for dar
k matter and dark energy. In addition\, the PID of
fers a completely different and much simpler way o
f introducing Higgs fields.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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