Fire, as we typically understand it, indeed requires oxygen as a reactant in the combustion process. However, the fusion reactions that power the Sun are fundamentally different from combustion.
The Sun primarily undergoes nuclear fusion in its core, where immense pressure and temperature allow hydrogen atoms to overcome their electrostatic repulsion and fuse into helium. This process releases an enormous amount of energy in the form of light and heat.
In nuclear fusion, the nuclei of atoms merge together to form heavier elements, releasing energy in the process. In the case of the Sun, hydrogen nuclei (protons) fuse to form helium nuclei, accompanied by the release of energy.
Unlike combustion, which relies on the presence of oxygen as a reactant, nuclear fusion in the Sun does not require oxygen or any other external element for its reaction. Instead, it relies on the extreme conditions of temperature and pressure found within the Sun's core.
The Sun's core is incredibly hot, with temperatures reaching millions of degrees Celsius, and it is under immense pressure due to the gravitational forces exerted by the Sun's mass. These conditions allow nuclear fusion to occur, converting hydrogen into helium and releasing energy in the process.
So, while fire on Earth requires oxygen to sustain combustion, the nuclear fusion reactions powering the Sun do not depend on the presence of oxygen or any other external element. Instead, they are driven by the intense heat and pressure generated within the Sun's core.

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