  There is natural association of entropy with gravitational systems on one
hand and partition of natural numbers on the other hand. We show that given a
partition of natural numbers, it is possible to directly associate a metric
with it. Gravity emerges from patterns in partition. In the process, metric and
matter is unified into a fundamental notion of partition. More precisely, we
find a common origin of Schwarzschild metric on one hand and black-hole entropy
on the other hand. It immediately implies that information and metric are one
and the same and any change in information is stored as change in metric. Thus
gravitational radiation carries black-hole entropy worth of information. There
are three novel experimental predictions. First, we can retrieve information
from the gravitational radiation emitted during merger. Second, if radiation
with right information is sent in, black hole absorbs information and decays
instead of increasing in mass. This is reverse process of black hole formation.
Third, till now only known way of observing nature is through radiation and
fields measured far from the source. There is a completely new way of seeing
nature if we can capture the whole partition of the source in one go.
