  Recently, it has been suggested in [JHEP 12(2015)003] that the Brown-York
mechanism can be used to measure the quasilocal energy in Lovelock gravity. We
have used this method in a system of M0-branes and show that the Brown-York
energy evolves in the process of birth and growth of Lovelock gravity. This can
help us to predict phenomenological events which are emerged as due to
dynamical structure of Lovelock gravity in our universe. In this model, first,
M0-branes join to each other and form an M3-brane and an anti-M3-branes
connected by an M2-brane. This system is named BIon. Universes and
anti-universes live on M3-branes and M2 plays the role of wormhole between
them. By passing time, M2 dissolves in M3's and nonlinear massive gravities,
like Lovelock massive gravity, emerges and grows. By closing M3-branes, BIon
evolves and wormhole between branes makes a transition to black hole. During
this stage, Brown-York energy increases and shrinks to large values at the
colliding points of branes. By approaching M3-branes towards each other, the
square energy of their system becomes negative and some tachyonic states are
produced. To remove these states, M3-branes compact, the sign of compacted
gravity changes, anti-gravity is created which leads to getting away of branes
from each other. Also, the Lovelock gravity disappears and it's energy forms a
new M2 between M3-branes. By getting away of branes from each other, Brown-York
energy decreases and shrinks to zero.
