Response of chatGPT now ( I create now an account in chat GPT):
"In physics, a 4-vector identity refers to an equation or relation involving 4-vectors, which are mathematical objects used to describe certain quantities in spacetime. 4-vectors consist of four components, typically representing the three spatial dimensions and time.
One common 4-vector identity is the Minkowski metric, also known as the spacetime interval or the metric tensor. It is a mathematical construct that relates the spacetime distance between two events to the components of a 4-vector. The Minkowski metric is often denoted by the symbol η, and it has the following form:
η = diag(-1, 1, 1, 1)
Here, "diag" represents the diagonal elements of a matrix, and the values -1, 1, 1, 1 are placed on the diagonal in the order of (time, x-axis, y-axis, z-axis). This metric allows us to calculate the spacetime interval between two events using the equation:
ds2 = ημν dxμ dxν
In this equation, dxμ and dxν represent the components of the 4-vector describing the displacement between two events, and μ, ν take values from 0 to 3, corresponding to the four components of the vector.
The Minkowski metric is a fundamental tool in special relativity, as it provides a way to define the invariant spacetime interval, which remains the same for all observers regardless of their relative motion."
It is a very general response . It resolves nothing and can't improve science.