Will the new iPhone SE Battery fit inside a iPhone 5

Any chance the SE battery will fit inside a iphone 5 battery as they're pretty much the same form factor. I bought a iphone 5 sim free of fleabay - new condition but the battery life is about the same as my 3 year old iphone 4.

A SE battery inside it would improve this (or cause a massive fire)

Anyone who has been brave post here... could be some time, maybe ifixit will do something with it.

Ive heard the ones on amazon / ebay arent very good or are just the same battey ie something like http://amzn.to/1PoMz2x

i want a bigger battery that will last longer....