The Observer Determination

Roth, Yehuda

doi:10.1007/s10773-012-1270-z

Cited by 3 publications

(5 citation statements)

References 5 publications

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“…This operation is activated by the following -operator: meaning that among all other possibilities the r-processor is now operating within the -representation only. We note that k , k r M can be regarded as an "eigenoperator" [13,14].…”

Section: The Observer Inputmentioning

confidence: 99%

Rapid Quantum Search Algorithm

Roth¹

2013

JMP

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The collapse phenomenon, the parallelism principle and states correlation are used to define a type of a Grover rapid search engine. In our approach, the observer’s query and the Grover-unsorted-data are stored in different memories where the global state is represented by a tensor product of the associated states. In the proposed formalism, each query-state input activates an adjusted operator that implements the unsorted state in an appropriate 2-D Grover representation. It will be shown that once the representation is set, it takes mainly two operations to complete the whole query search. This seems to be a very efficient search algorithm.

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Section: The Observer Inputmentioning

confidence: 99%

Rapid Quantum Search Algorithm

Roth¹

2013

JMP

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“…The maximum number of orthogonal states forms the space basis of states. Clearly, sharp recognition can be implemented only for a specific spanning set basis of states where the selection between the various set possibilities is subject to the observer determination [4,5]. However, unlike the measurement collapse phenomena for which the measurement output corresponds with the collapse linearity breaking [6][7][8][9][10][11], in our device an initial state experiences discrete rotations until it reaches a recognized state.…”

Section: The States Basismentioning

confidence: 99%

Bifurcation and Pattern Recognition

Roth¹

2013

JMP

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“…It was shown [2] that the following frame operators are appropriate to serve as frame operators (see Equations (6) and 7):…”

Section: The N-level Frame Operatorsmentioning

confidence: 99%

“…In previous papers we introduced a procedure showing how to integrate the "subjective observer" and the apparently "objective world of nature" [1,2]. In those papers we confronted the hard problem, that is, the problem of "integrating consciousness, per se, into our conception of nature" [3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…In those papers we confronted the hard problem, that is, the problem of "integrating consciousness, per se, into our conception of nature" [3][4][5][6][7][8][9][10][11]. Following John Searle idea [4,7], we introduced a mathematical formalism that demonstrates how ordinary measurements and the freedom to select a measuring device type, are integrated into a single mathematical framework through the introduction of the concept levels of a hierarchy [1,2]. For that purpose we extended the Hilbert space into a Hilbert hyperspace, that is, a new space containing the levels of a hierarchy.…”

Section: Introductionmentioning

confidence: 99%

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The Schrödinger Equation of the Hilbert Hyper Space

Roth¹

2013

JMP

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Quantum measurement requires an observer to prepare a specific macroscopic measuring device from various options. In previous papers we redefined this observer role through a new concept: the observer determination, that is, the observer's unique selection between the various measurement-devices. Unlike the measurement itself that is rationalized as dictated by nature, we presented the observer determination as a selection that cannot be disputed since it can neither be measured nor proven to be true or false. In general, we suggest that every action or decision made by the observer is eventually an output of some measurement. The apparently contradiction between the observer free determination and the deterministic measurement output was solved by extending the Hilbert space into a Hyper Hilbert space that is a space with hierarchy. In that frame the so called free selection of the observer determination in a certain level turns out to be a deterministic measurement output in the next higher level of the hierarchy. An important role of the conventional Hilbert space is played by the Schrödinger equation. It determines a basis of stationary states. In this paper we define the Schrödinger equation that corresponds with the various levels and we show that each level can be characterized by a unique time scale. We also show how various levels can be synchronized. We believe that this hyperspace level represents a certain level in the physics of consciousness and therefore a level unique time scale can contribute to the time perception of the mind.

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The Observer Determination

Cited by 3 publications

References 5 publications

Rapid Quantum Search Algorithm

Rapid Quantum Search Algorithm

Bifurcation and Pattern Recognition

The Schrödinger Equation of the Hilbert Hyper Space

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The Observer Determination

Cited by 3 publications

References 5 publications

Rapid Quantum Search Algorithm

Rapid Quantum Search Algorithm

Bifurcation and Pattern Recognition

The Schr&#246;dinger Equation of the Hilbert Hyper Space

Contact Info

Product

Resources

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The Schrödinger Equation of the Hilbert Hyper Space