On h_eff/h=n as the Number of Sheets of Spacetime Surface of Galois Covering

Abstract

The precise view about how space-time surface can be regarded as Galois covering for an extension of rationals in TGD framework is discussed. The so called M⁸-M⁴ x CP₂-correspondence reducing the dynamics at the level of M⁸ to algebraic equations for algebraic surfaces and at the level of M⁸-M⁴ x CP₂ to the dynamics of preferred extremals satisfying besides variational principle also infinite number of gauge conditions allows one to understand how Galois coverings emerge. The polynomials determining space-time surface as algebraic surface determine also the extension of rationals used.