C025Time and becoming
McTaggart’s A/B distinction is not a distinction between real and imaginary components of a number. Tense and earlier/later relations are logical or ontological features of events; i and j specify multiplication laws. The comparison develops this distinction through a worked example and explains its implications for SMM/DTT’s nested generation, completed records and account of the observable world.
Comparative article · 5 min read↗
C026Time and becoming
Neither presentism nor a growing block selects an ordinary complex or split-complex algebra. A presentist can use real-valued clocks, and a block-growth model can be formulated with a discrete order alone. The comparison develops this distinction through a worked example and explains its implications for SMM/DTT’s nested generation, completed records and account of the observable world.
Comparative article · 5 min read↗
C027Time and becoming
Lorentzian spacetime and split-complex numbers share a useful indefinite quadratic structure in a two-component sector. That mathematical affinity concerns transformations and invariants, whereas eternalism concerns the reality of events at different times. The comparison develops this distinction through a worked example and explains its implications for SMM/DTT’s nested generation, completed records and account of the observable world.
Comparative article · 5 min read↗
C028Time and becoming
Thermal time uses ordinary operator-algebraic structures in which complex phases generate automorphisms. A split-complex unit with square +1 cannot simply replace the ordinary imaginary unit in those expressions without changing their mathematical properties. The comparison develops this distinction through a worked example and explains its implications for SMM/DTT’s nested generation, completed records and account of the observable world.
Comparative article · 5 min read↗
C029Time and becoming
The two-state formalism uses ordinary complex quantum amplitudes. Its duality concerns boundary-conditioned states, not two components of a split-complex time coordinate. The comparison develops this distinction through a worked example and explains its implications for SMM/DTT’s nested generation, completed records and account of the observable world.
Comparative article · 5 min read↗
C030Time and becoming
Whitehead’s process categories do not prescribe an ordinary complex or split-complex number system. Their contribution is a metaphysical distinction between becoming and achieved actuality. The comparison develops this distinction through a worked example and explains its implications for SMM/DTT’s nested generation, completed records and account of the observable world.
Comparative article · 5 min read↗