Conceptual Foundations of Spacetime Geometry

Minkowski Institute for Fundamental Studies

Foundational studyIndependent theoretical programme

Before spacetime can curve, one must decide what kind of thing spacetime is.

The question

Which conceptual commitments are hidden inside the geometric language used by relativity and cosmology?

FormalismThe mathematical structure will appear here.Derivations · assumptions · limiting cases

ComputationThe numerical experiment will appear here.Simulation · inference · verification

ObservablesThe physical evidence will appear here.Figures · diagnostics · interpretation

The horizon

This page will become a compact notebook on events, intervals, causal structure, and the interpretive choices that precede calculation.