According to the theory of special relativity, nothing can travel faster than the speed of light. However, there are certain phenomena that can appear to move faster than light, but they do not actually violate this fundamental limit. Here are some examples:

• Quantum entanglement: When two particles are entangled, their properties become correlated in such a way that measuring one particle instantaneously affects the other, regardless of the distance between them. This effect appears to happen faster than the speed of light, but it does not actually transmit information faster than light.

• Image of a moving light source: If a flashlight is waved across the night sky, its image can travel faster than light speed, since the beam of light is going from one part of the Universe to another part on the opposite side, which is many light years away. However, no material object is actually moving faster than light.

• Shadow projected onto a distant object: Similarly, a shadow projected onto a distant object can be made to move across the object faster than light. Again, no information is actually transmitted faster than light.

• Traveling through warped space: It is theoretically possible to travel faster than light by surfing on a tidal wave of warped space, which can be created by compressing the space in front of you and expanding the space behind you. However, this would require negative matter, an exotic form of matter that has never been observed.

• Hypothetical particles: There are hypothetical elementary particles that always move faster than light, but they have never been observed.

It is important to note that even if something appears to travel faster than light, it does not actually violate the fundamental limit set by the theory of special relativity.