All matter in life is compressible to some greater or lesser extent 

All it requires is pressure, and generating pressure to compress volume requires energy

Incompressible matter is a myth - it can’t occur in nature

creating and destroying; flying cars, roc.camera, july.rocks /july /faust

compression exists in superposition - simultaneously physical transformation and information collapse until observed through entropy, where matter reveals itself as neither solid nor void but rather probability waves of resistance. the real paradox: as we approach absolute compression, quantum effects ensure uncertainty remains uncompressed. perhaps the most incompressible thing in the universe is the very concept of incompressibility itself