Yes Tommaso,
I also love Music. And it is absolutely true that Music improves Creativity and helps to inspire Innovation for many scientists and mathematicians, as well as for those who claim to be musicians. The work of Charles Limb is devoted, in some measure, to showing there is a neurological connection between musical improvisation and other kinds of learning and solving tasks of a more technical nature. In many ways, they are the same thing, or employ exactly the same skills. Learning to play and improvise music will absolutely improve creativity across the board, and enhances the skills that lead to scientific discovery and innovation.
Beyond this; Music helps to keep us alive. If you examine the personal history of prominent folks like Les Paul and Pete Seeger, it is absolutely evident that playing music kept them in the game longer, allowing them to remain alive until an advanced age, so long as they kept playing. My Piano teacher Helen Baldwin slipped away only two days after learning she would not be able to play Piano concerts anymore, because Music was her reason for living.
The very young have no inhibitions about Music, but sadly our culture instils a stigma that some young voices are 'not good enough' and educators see this as an enormous decrease in participation, beyond a certain age. Where 90% participation is normal for youngsters, this falls off to 10-15% for their older peers. So Music fares even worse than Science, in this regard.
All the Best,
Jonathan