inflation

the inflation in early universe, may be due to the conservation of entropy. the expanding universe is a trade-off between momentum and space. may be the decrease of configuration space in momentum due to gravity is the driving force of the universe expansion. this is how gravity included in 2d law of thermodynamic.

in contrast with traditional theory, the dead of universe is due to we reach a maximum entropy state. however, it never included the effect of gravity. which, gravity can form star and galaxy, but 2nd law cannot predict this. 

an also, it assumed the entropy can still be increase. however, the maximum entropy state usually reached quickly. say, a mixture of cold and hot water.

so, how about i assume, the maximum entropy state was formed very quickly in the big bang. then, due to quantum mechanic, and gravity, the size of momentum space was reduced and it forced the space expand to make the entropy does not decreased. 

i did not do actual calculation,but just a fantasy here.