From The Matrix wiki
bullet time
Bullet time is a signature visual effect within the Matrix simulation that allows individuals to manipulate their perception and movement speed relative to the flow of time.
Mechanics
Bullet time is a manifestation of the ability to perceive and react to the simulated environment at an accelerated rate. By exploiting the underlying code of the Matrix, users such as Neo can move with such extreme velocity that projectiles appear to travel in slow motion, allowing them to dodge gunfire or reposition themselves mid-air. This phenomenon is a direct result of the user's awareness that the reality they inhabit is a digital construct, granting them a degree of control over the physics engine governing the simulation.
Significance
Within the narrative, the mastery of bullet time serves as a primary indicator of an individual's awakening and their potential as the One. It represents the transition from being a prisoner of the system to an active manipulator of its parameters. Visually, the technique is characterised by a 360-degree camera rotation around a frozen or slowed subject, a hallmark of the franchise's innovative approach to action choreography and digital cinematography.