Abstract
A novel methodological approach requires the observer to investigate the information accessible outside the object under scrutiny. The object becomes an “hole” devoid of information, surrounded by a container that is no longer a passive structure. We use this container-framed attitude for a mathematical attempt to take a step towards the unexploited unification of general relativity and quantum mechanics. We show that the tenets of quantum mechanics, i.e., the observable A, the autostates ψa, and the Schrodinger equation for the temporal evolution of states, can be described in terms of oscillatory paths taking place on negative-curvature Poincaré disks.
Highlights
Do scientists extract the information endowed in the object, or do they build information not existing inside the object? Is our qualitative mental information discovered, or is it invented? Recent papers suggest that quantum mechanics is a reference-frame theory pertaining to observer-dependent relational properties
We will tackle the issue of the unexploited unification of general relativity (GR) and quantum mechanics (QM), which prevent a proper understanding of the micro- and macroscopic world [4,5]
We examine the possibility that the oscillatory dynamics described by QM might take place on microscopic negative-curvature, hyperbolic continuous manifolds
Summary
The ancient Aristotelian concepts of active and potential intellects (henceforward AI and PI) display a viable counterpart to the modern-day theory of information. The comparison between AI/PI and TCI has two opposite paradoxical consequences: on one hand, it wipes out the concept of Holy, Divine knowledge and leaves just the quantitative concept of physical information; on the other hand, it reintroduces a metaphysical component, i.e., the presence of a vague, eternal, indefinable substance permeating the universe. It looks like TCI allows the metaphysical concept of God to sneak in the back of scientific issues. We will use this approach to amend our critique of information: in particular, we will suggest a new approach to the curvatures, i.e., the “containers”, subtending quantum dynamics
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