If we were in an inertial frame of reference, the objects we observe – the sun and other stars- on which no external force is acting (/gravity, yes! But no resultant force I guess) would appear to us at rest or uniform velocity motion. Instead we see the sun rising in the east to travel the entire curvature in the sky to set in the west. A clue that it could be us spinning to have us ‘see’ so.
Don’t know about foucalt pendulum

Wow. Just wow. Can’t imagine a more brilliant, lucid way of explanation!

If i understand it right, we would live longer to the eyes of those who are stationary to us, since time would slow down, provided we are moving at speeds high enough to be close to light. But we( who are moving )would experience time the same way and hence won’t experience it as ‘living longer’. Isn’t it?