If you were traveling close to the speed of light, according to the principles of special relativity, you would not feel a difference in speed relative to your immediate surroundings. This phenomenon is described by one of the key principles of special relativity known as "time dilation."
Time dilation occurs when an object (in this case, you as the traveler) moves at relativistic speeds, close to the speed of light. At these speeds, the laws of physics fundamentally change, and one of the consequences is that time appears to pass more slowly for the moving object as observed by an observer at rest.
To explain why you wouldn't feel a difference in speed, let's consider an example: imagine you are in a spacecraft traveling at a significant fraction of the speed of light relative to Earth. Inside the spacecraft, all your internal processes and biological functions, including your perception of time, would be operating normally. You wouldn't feel any change in your experience of time or your own speed.
However, from the perspective of observers on Earth, they would see your spacecraft moving at a tremendous speed and observe that time inside the spacecraft appears to be passing more slowly compared to their own time. This effect becomes more pronounced as you approach the speed of light, and time dilation would become more significant.
This phenomenon is not limited to just time dilation; there are other relativistic effects such as length contraction and relativistic mass increase, but those are not directly related to your perception of speed.
In summary, you wouldn't feel a difference in speed because your internal frame of reference remains unchanged, and the effects of time dilation and other relativistic phenomena are only observed by external observers in a different reference frame.