Spacetime — Dimension

would make physics unpredictable because partial differential equations would lack the "hyperbolicity" property.

: The historical foundation of spacetime. Minkowski's mathematical formalism established the idea of a four-dimensional world where space and time are inextricably linked into a single continuum. Theoretical Frameworks with Extra Dimensions Spacetime Dimension

might be too simple to support observers. You can read the full text at arXiv:gr-qc/9702052 . Spacetime Dimension

: This is one of the most cited papers on this topic. Tegmark argues that our 3+1 dimensional spacetime (3 space, 1 time) is "privileged." He demonstrates that: Spacetime Dimension