Institute of Philosophy

The quantum information introduced by quantum mechanics is equivalent to that generalization of the classical information from finite to infinite series or collections. The quantity of information is the quantity of choices measured in the units of elementary choice. The qubit can be interpreted as that generalization of bit, which is a choice among a continuum of alternatives. The axiom of choice is necessary for quantum information. The coherent state is transformed into a well-ordered series of results in time after measurement. The quantity of quantum information is the ordinal corresponding to the infinity series in question.

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
One qubit is an “atom” both of Hilbert space and Minkovski space underlying correspondingly quantum mechanics and special relativity
Pseudo-Riemannian space of general relativity being “deformed” Minkowski space therefore consists of “deformed” qubits directly referring to the eventual “deformation” of Hilbert space
Thus both equations can be interpreted as a two different particular cases of a more general equation referring to the quantity of quantum information (QI)
They can be represented as the transition from future to the past for a single qubit in two isomorphic form:
SE: the normed superposition of two successive “axes” of Hilbert space
EFE: a unit 3D ball
A few hypotheses to be ever proved are only formulated on the ground of the correspondence between the two equations in terms of quantum information or for a single qubit
This is my presentation at 79. Jahrestagung der Deutsche Physikalische Geselschaft und DPG-Frühjahrstagung (Working group in philosophy of physics): http://www.dpg-verhandlungen.de/year/2015/conference/berlin/static/agphil.pdf

The talk addresses a philosophical comparison
and thus interpretation of both theorems
having one and the same subject:
• The absence of the “other half” of variables,
called “hidden” for that, to the analogical set
of variables in classical mechanics:
• These theorems are:
John’s von Neumann’s (1932)
Simon Kochen and Ernst Specker’s (1968)
This is my presentation for the “2015 Mississippi Academy of Sciences meeting”:  http://msacad.org/wp-content/uploads/2015/02/Journal-Mas-jan1-24-15-L.pdf

Let quantum mechanics be granted as the rules generalizing all results of playing some imaginary God’s dice. If that is the case, one can ask how God’s dice should look like. This means the following in mathematical and physical terms:
If all possible experimental results on a single quantum system can be represented by its wave function, which in turn is some point in Hilbert space, what is the elementary choice determining any single result unambiguously? In other words, what is the elementary event if the space of all events consists of all possible experimental results, which can be obtained for that system, in the sense of probability theory (and Kolmogorov’s axioms)?
One can visualize the problem by usual dice: any roll of the dice is both an elementary event and choice between six equally probable alternatives usually designated by 1, 2, 3, 4, 5, and 6. How many of different symbols would necessary be for “each side” of God’s dice?