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AGPhil: Arbeitsgruppe Philosophie der Physik

AGPhil 1: Foundations of Quantum Mechanics

AGPhil 1.3: Vortrag

Dienstag, 17. März 2015, 15:00–15:30, A 060

The Einstein field equation in terms of the Schrödinger equation — •Vasil Penchev — Bulgarian Academy of Sciences (Institute for the Study of Societies and Knowledge), Sofia, Bulgaria

The thesis is: The Einstein field equation (EFE) can be directly linked to the Schrödinger equation (SE) by meditation of the quantity of quantum information and its units: qubits.

Arguments:

1. The three of the EFE members are representable as Ricci tensors interpretable as the change of the volume of a ball in pseudo-Riemannian space in comparison to a ball in the three-dimensional Euclidean space (3D).

2. Any wave function in SE can be represented as a series of qubits, which are equivalent to balls in 3D, in which two points are chosen: the one within it, the other on its surface.

3. The member of EFE containing the cosmological constant corresponds to the partial time derivative of the wave function in SE. This involves the energetic equality of a bit and a qubit according to the quantum-information interpretation of SE. The zero cosmological constant corresponds to the time-independent SE.

4. The member of EFE, which is the gravitational energy-momentum tensor, corresponds to zero in SE as it expresses that energy-momentum, which is a result of the space-time deformation.

5. SE represents the case of zero space-time deformation, EFE adds corresponding members being due to the deformation itself.