Goce Chadzitaskos
The Space Proper-Time Manifold
We propose an alternative interpretation of the space{time structure in which proper time plays the role of an embedding parameter of a three-dimensional spatial manifold into
a four-dimensional space. In this framework, coordinate time is interpreted as the length of
a trajectory in the higher-dimensional manifold. We show that the principle of least action
naturally follows from Lorentz invariance and discuss implications for cosmology, classical
mechanics, and wave phenomena.
