What is the study of energy and its relationship to matter?

Answer 1

The field of study that includes the relationship of energy to matter is Physics.

The relationship of energy to matter, however, is that energy is increasingly viewed as matter (regular or "dark"), behaving in certain patterns: waves, strings, etc ... Solid matter isn't really solid. It's mostly space. It is widely believed that it cannot be created nor destroyed, but merely changed in its state.

Answer 2

The study of energy and its relationship to matter is called thermodynamics. It explores the principles and laws governing the transfer, conversion, and utilization of energy in various forms, such as heat, work, and chemical potential. Thermodynamics is applicable to a wide range of scientific disciplines, including physics, chemistry, and engineering.