Derivation of Field Equations from the Principle of the Fermionic Projector

Details Derivation of Field Equations from the Principle of the Fermionic Projector Derivation of Field Equations from the Principle of the Fermionic Projector

1996-06-15

arxiv.org/abs/gr-qc/9606040v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

185 pages, LaTex, in German (for hyphenation use glatex), improved introduction, slightly shortened version

Scientific paper

With the concept of "discrete space-time" the space-time continuum is resolved into discrete points at the scale of the Planck length. We postulate with the "principle of the fermionic projector" that physical equations must be formulated intrinsically in discrete space-time with the projector on fermionic states. This principle combines the Pauli principle, a local gauge principle and the principle of relativity, but does not include a locality or causality principle. It is shown that a well-established limit yields the structure of a Lorentzian manifold. The equations of discrete space-time reduce to classical field equations. This preliminary text is intended as introduction. Detailed calculations can be obtained from the author on request.

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