Final answer:
The condition that causes liquid hydrogen and gaseous hydrogen to have the same density and become indistinguishable is called the critical point, which is surpassed in the interiors of gas giants like Jupiter and Saturn, leading to the formation of metallic hydrogen.
Step-by-step explanation:
The temperature and pressure conditions described in the question exceed the critical point for hydrogen. The critical point is a term used in thermodynamics that refers to the end point of a phase equilibrium curve, where the distinction between liquid and gas phases ceases to exist. In the context of giant planets like Jupiter and Saturn, below the cloud layers, hydrogen reaches such high temperatures and pressures that it transitions from gaseous to liquid and with further compression, becomes metallic hydrogen, a phase in which it has properties similar to a metal with free-moving electrons, making it highly conductive.