Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Emerging Quantum Fields Embedded in the Emergence of Spacetime

Version 1 : Received: 28 April 2018 / Approved: 30 April 2018 / Online: 30 April 2018 (11:58:53 CEST)
Version 2 : Received: 11 June 2018 / Approved: 12 June 2018 / Online: 12 June 2018 (12:43:15 CEST)

How to cite: Diel, H. Emerging Quantum Fields Embedded in the Emergence of Spacetime. Preprints 2018, 2018040379. Diel, H. Emerging Quantum Fields Embedded in the Emergence of Spacetime. Preprints 2018, 2018040379.


Based on a local causal model of the dynamics of curved discrete spacetime, a causal model of quantum field theory in curved discrete spacetime is described. On the elementary level, space(-time) is assumed to consists of interconnected space points. Each space point is connected to a small discrete set of neighboring space points. Density distribution of the space points and the lengths of the space point connections depend on the distance from the gravitational sources. This leads to curved spacetime in accordance with general relativity. Dynamics of spacetime (i.e., the emergence of space and the propagation of space changes) dynamically assigns "in-connections" and "out-connections" to the affected space points. Emergence and propagation of quantum fields (including particles) are mapped to the emergence and propagation of space changes by utilizing identical paths of in/out-connections. Compatibility with standard quantum field theory (QFT) requests the adjustment of the QFT techniques (e.g., Feynman diagrams, Feynman rules, creation/annihilation operators), which typically apply to three in/out connections, to n > 3 in/out connections. In addition, QFT computation in position space has to be adapted to a curved discrete space-time.


spacetime models; discrete spacetime; relativity theory; causal models; quantum field theory; spin networks; quantum loops


Physical Sciences, Particle and Field Physics

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