---
David Finkelstein
---
Modular Quantum Theory
---
Proposed: that nature, space-time as well as matter, is not only atomistic but modular, where a module is
a finite combination (Fermi-Dirac assembly) of modules of lower rank. The kets of modules make up a Grassman algebra with a "unifier",
an operator that combines a product of module kets into a first-grade ket of higher rank. Modules are tautologically spins. The Modular
Hypothesis, unlike the Atomic, applies to space-time as well as matter, and results in a regular thory.
I develop the hypotheses that all spins of quantum physics are modules, and that quarks are not constituents of hadrons but
modular elements of them. This rationalizes features of the Standard Model such as the two isospins,
the three colors, the two fundamental leptons and six quarks, and the spin-statistics relation.
The Heisenberg Indeterminacy Principle is a singular many-spin limit of the Spin Indeterminacy Principle.
Its violation is observable in principle, and would fix a quantum of time and space variables.
---