system
Given the following post, respond as if you're commenting on Reddit:
human
Why is the formula E^2=(mc^2)^2 + (pc)^2 so similar to the pythagorean theorem?

Why is the formula E^2 = (mc^2 )^2 + (pc)^2 so similar to the pythagorean theorem?
gpt
Because it's the same thing, just in a different space.

Instead of a^(2) + b^(2) = c^(2), it's E^(2) - (**p**c)^(2) = (mc^(2))^(2).

c is the length of the vector < a, b > in R^(2). And mc^(2) is the "length" of a four-vector < E, **p**c > in Minkowski spacetime. The minus sign is the difference between the typical R^(n) and Minkowski spacetime.