Yes, according to the theory of relativity, a person traveling at speeds close to the speed of light will experience time dilation. This means that time would appear to pass more slowly for the moving person compared to an observer at rest.
As the person's velocity approaches the speed of light, the effect becomes more pronounced. This phenomenon is described by the time dilation equation:
Δt' = Δt / √(1 - v^2/c^2)
In the equation, Δt' represents the time experienced by the moving person, Δt represents the time measured by a stationary observer, v is the velocity of the moving person, and c is the speed of light.
As the velocity v approaches the speed of light c, the denominator of the equation approaches zero, resulting in a larger time dilation factor. This means that time appears to pass more slowly for the person traveling near the speed of light.
From the perspective of the moving person, they would perceive time passing normally for themselves. However, compared to an observer who remained at rest, they would perceive that less time has passed for them. This effect is often described using the "twin paradox," where one twin remains on Earth while the other travels through space at high speeds. The traveling twin would return younger than their Earth-bound counterpart due to the time dilation experienced during the journey.
It's important to note that this time dilation effect is only significant at speeds approaching the speed of light. For everyday speeds we encounter on Earth, the difference in perceived time is negligible.