Quantum Theory of Ur Objects and General Relativity

TL;DR

This paper explores how the quantum theory of ur objects can be extended to incorporate general relativity, suggesting that space-time and gravity emerge from fundamental quantum informational structures.

Contribution

It advances the ur object framework by attempting to derive general relativity and gravitational fields from quantum informational principles.

Findings

Relativistic quantum fields and Minkowski space-time arise from quantized binary alternatives.

The work proposes a way to include gravity within the ur object approach.

Space-time structure is seen as a consequence of quantum theory in an abstract sense.

Abstract

The quantum theory of ur objects postulates that all existing physical objects and their properties are constructed from fundamental objects called ur objects being described by an element of a two dimensional complex Hilbert space. This approach is based on the assumption that quantum theory represents a theory being constitutive for human knowledge. Physical objects are characterized by the information one can gain from them being contained in the quantum state they are described by. Since every Hilbert space can be represented as a tensor product of two dimensional Hilbert spaces, one is led to the ur objects. According to this approach relativistic quantum fields and thus the existence of a Minkowski space-time are the consequence of an iteration of a quantization of binary alternatives. In the original formulation there was only obtained a description of quantum fields on a flat Minkowski space-time. In this work there is made the attempt to incorporate general relativity and to describe the gravitational field within this approach. Thus the existence of a (3+1)-dimensional space-time in the sense of general relativity is assumed to be a consequence of quantum theory interpreted in an abstract sense.