1996/06/15 by Felix Finster, Finster, Felix
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9606040
185 pages, LaTex, in German (for hyphenation use glatex), improved introduction, slightly shortened version
openalex publication_date 1996/06/15 · arxiv created 1996/12/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.