According to the principles of special relativity, if you were able to travel at the speed of light around the Earth, your perception of time and space would be significantly altered. However, it's important to note that it is not physically possible for an object with mass, such as a human, to reach or exceed the speed of light.
Nevertheless, let's explore the hypothetical scenario. If you were somehow able to travel at the speed of light, your perception of time would slow down to the point where time essentially stops for you. From your perspective, the entire journey around the Earth would appear to take an instant.
As a result, you would not see yourself anywhere else before you left because, in your frame of reference, you would not experience any time passing. You would essentially jump from the moment of departure to the moment of arrival instantaneously.
However, it's important to emphasize that this scenario is purely hypothetical, as objects with mass cannot reach or exceed the speed of light according to our current understanding of physics. The principles of special relativity are primarily applicable to massless particles, such as photons, which travel at the speed of light.