# Constraints of Perception and Cognition in Relativistic Physics

 The following sections (and figures) have been abridged out of this post. The full version of the article is available as a PDF file. ()

#### 4. Explanations Based on LTT Effects

 Figure 4. The top panel (a) shows an object flying along $A_-BA$ at a constant superluminal speed. The observer is at $O$. The object crosses $B$ (the point of closest approach to $O$) at time $t=0$. The bottom panel (b) shows how the object is perceived by the observer at $O$. It first appears at , then splits into two. The two apparent objects seem to go away from each other (along $J_1$ and $J_2$) as shown.
 Figure 5. The apparent angular positions of an object traveling at different speeds at a distance $y$ of one million light years from us. The angular positions ($\phi$ in radians) are plotted against the observer’s time $t_O$ in years.
 Figure 6. Time evolution of the redshift from a superluminal object. It shows the redshifts expected from an object moving at $\beta = 300$ at a distance of ten million light years from us. The X axis is the observer’s time in years. (Since the X axis scales with time, it is also the redshift from an object at 116 light days –ten million light seconds–with the X axis representing $t_O$ in seconds.)