No, it is not true that the center of a DVD is younger than the outer edge due to relative time dilation. Relative time dilation occurs when there is a difference in the passage of time between two observers who are in relative motion or in different gravitational fields. However, the effects of time dilation in everyday situations, such as those experienced with DVDs, are negligible and not observable.
In the case of a DVD, the difference in speed or gravitational potential between the center and the outer edge is not significant enough to cause any noticeable time dilation effects. The relative velocities and gravitational fields involved in a DVD spinning are not extreme enough to create a measurable time dilation effect. Therefore, the age of the center and the outer edge of a DVD would be effectively the same.
It's worth noting that time dilation effects become more significant in extreme conditions such as near black holes or when objects are traveling at very high speeds approaching the speed of light. In those cases, time dilation can have measurable effects, but it is not relevant to everyday objects like DVDs.