The Construction Interpretation: Conceptual Roads to Quantum Gravity

Abstract

In the first part of this paper I propose the Construction Interpretation of the Quantum. The main point of this interpretation is that (unlike previous interpretations) it is not actually an interpretation but rather a methodology aimed to encourage a conceptually driven construction of a theory of Quantum Gravity. In so doing we will, I hope, resolve the ontological problems that come along with Quantum Theory. In the second part of this paper I offer a particular perspective on the theory of General Relativity and set out a path of seven steps and three elements corresponding (more-or-less) to the path that Einstein took to this theory. In the third part I review a particular operational approach to Quantum Field Theory I have been developing - the operator tensor formulation. The physicality condition (this ensures that probabilities are between 0 and 1 and that choices in the future cannot effect the past) is discussed in some detail in this part and also in an appendix. In the fourth part of the paper I set out one particular conceptually driven possible road to Quantum Gravity. This approach works by establishing seven steps and three elements for a theory of Quantum Gravity that are analogous to those of General Relativity. The holy grail in this approach is to generalize the physicality conditions from Quantum Field theory to the new situation we find ourselves in in Quantum Gravity. Such conditions, in the present approach, would be analogous to the Einstein Field Equations. In the fifth part of the paper I propose the quantum equivalence principle whereby it is always possible to transform to a quantum reference frame such that we have definite causal structure in the vicinity of any given point. This equivalence principle suggests another possible road (albeit more speculative) to Quantum Gravity in even closer analogy to the path Einstein took to General Relativity.

58 pages. Version 2 contains a new part on "the quantum equivalence principle"

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• Constructor Theory of Information
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Cited by in corpus (10)

• The Trinity of Relational Quantum Dynamics
• Equivalence of approaches to relational quantum dynamics in relativistic settings
• Switching quantum reference frames in the N-body problem and the absence of global relational perspectives
• Perspective-neutral approach to quantum frame covariance for general symmetry groups
• Quantum states for a minimum-length spacetime
• Time Symmetry in Operational Theories
• Counting Risk Increments to Make Decisions During an Epidemic
• Is spacetime quantum?
• A local quantum Mach principle and the metricity of spacetime
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time