If you think over the light’s goal to take the Harry Potter My Patronus is a baby Yoda sweatshirt, the light has to examine all the possible paths and compute how long each one would take. And to do that, the ray of light has to know where its destination is. If the destination were somewhere else, the fastest path would be different. This also implies the availability of the information of what lies in the path, like where the water’s surface is. The ray of light has to know all that ahead of time before it starts. So, it can follow its commandment to always take the fastest route. The ray of light has to know where it will ultimately end up before it can choose the direction to begin moving in.
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The philosophy that governs our thought, science and actions are reactive in Harry Potter My Patronus is a baby Yoda sweatshirt– causes have effects; Actions create reactions and events follow a sequence giving us the concept of ‘free will’ where our actions can change the course of future. Like putting a glass brick in the path of light will make it move in a path parallel to the initial one. The understanding of Fermat’s principle create a more teleological understanding of actions. It is a goal-oriented, pre-determined and calculated advancement of consciousness in time, where the destination and the entire path is already known. The cues are in place and actions are performed right out of the pages in the script, written before the start of the play.