Notes are on my GitHub! github.com/rorg314/WHYBmaths
In this video I explore the properties that must be satisfied by a Lorentz transformation in greater detail. We assume that a Lorentz transformation is a linear coordinate transformation, and impose the requirement that the metric tensor must be invariant under a Lorentz transformation (isometry). From these two assumptions we can then derive the properties that any Lorentz transformation must satisfy.

We will then see how this isometry requirement then implies the transformation must be linear (partial derivative wrt coordinates of a Lorentz transformation is zero), and furthermore must have a determinant of +- 1. In future videos I will discuss how we could arrive at these properties by more general considerations (the Lorentz group).

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