I'm a physicist in the field of quantum mechanics and nonlinear science. I'm the head of the second degree MED program in science. Address: Haifa, Haifa, Israel
Defining a hierarchy of spaces, we herein propose a mathematical model to describe a learning pro... more Defining a hierarchy of spaces, we herein propose a mathematical model to describe a learning process based upon fundamental concepts uploaded to higher-rank areas so as to generate more advanced items. We implemented mathematical tools borrowed from quantum mechanics: linear algebraic spaces, the Fock space, and the quantum collapse theory.
By simultaneously analyzing sets of data, we propose a quantum implementation for handling a larg... more By simultaneously analyzing sets of data, we propose a quantum implementation for handling a large amount of data. Our research may be useful in big data analysis. 1. Introduction Based on entangled states, quantum computers have the advantage of simultaneously implementing a large number of processes. The coherence of entanglement enables a single operator (logical gate) to be activated simultaneously on all of the states in the superposition [1, 2]. Consequently, to implement a quantum computer, a quantum algorithm has to be implemented. Quantum algorithms were first developed in the early-1990s, such as the Deutsch-Jozsa oracle-algorithm [3], which was followed by Ethan Bernstein and Umesh Vazirani's[4][5] algorithm. In Simon's algorithm,[6] the advantage of a quantum computer is demonstrated with an algorithm that is exponentially faster than any classical algorithm. Meanwhile, Shor's algorithm provides a polynomial complexity, whereas a classical algorithm usually take super-polynomial time (i.e. an algorithm not bounded above by any polynomial) [7]. Grover introduced a search engine algorithm with complexity O √ N that is more efficient then the classical algorithm, which is O (N/2) [8]. The main problem in all of this promising research is the implementation; that is, the ability to built a quantum computer in reasonable terms. In recent years, the digital world has grown very quickly and has become ever more complex. This complexity is associated with the term big data[9], which is a set of data that is so large that it cannot be effectively managed by conventional data management tools [10]. Although it seems that quantum computers are an ideal tool to serve these big data systems, quantum computers are still impracticable to implement. In this paper, we propose a different quantum approach that can simultaneously analyse a large amount of data. Although our process allows many processes to work simultaneously, it is not within the conventional frame of quantum computers.
We present a complete interpretation theory in the following sense: we observe that each measurin... more We present a complete interpretation theory in the following sense: we observe that each measuring device represents a concept set (such as the set of locations) while the measurement activity associates the measured object with an appropriate member from the concepts set. In that sense, the measurement process is the only interpretation of reality. In this article, we deal with the evolution of this interpreting measuring device for a 2-D Hilbert space. It is shown that nonlinear recursive maps give rise to a unique projective operator accompanied with the collapse ability and consequently to a measuring device. Our formalism can be easily interpreted as a single brain signal.
Coherence and interaction are important concepts in physics. While interaction describes a relati... more Coherence and interaction are important concepts in physics. While interaction describes a relation between individual objects such as forces acting between distinguishable particles, coherent objects exist with the sole purpose of describing a single object. For example, each component of a vector provides us with only partial information. The whole picture is revealed only when the components are coherently related to their generating vector. Another example is a singlet of two spin ½- particles. The true nature of these two coherent particles is described by a spin-less single particle. Apparently it seems that objects can be either coherent or lion-coherent but they cannot be both simultaneously. This is almost true. We show that a system can be described simultaneously as coherent and lion-coherent but an observer can distinguish only one concept at a time.
Quantum theory presents a unique scenario pertaining to collapse processes. A device that measure... more Quantum theory presents a unique scenario pertaining to collapse processes. A device that measures variables incompatible with those being detected collapses randomly into one of the states defined by the measuring device. The distinction that a collapsed output is not an accurate description of reality but rather a random selection from a set of values derived from the measuring device allows us to utilize the collapse process to propose a scheme wherein a machine becomes capable of performing interpreting processes. We present herein a basic schematic of a machine that demonstrates the principle of interpretation relying on the polarization phenomenon of photons. The operation of the device is demonstrated using an ambiguous figure. We believe that building an interpreting device can contribute to the field of AI.
International Journal of Theoretical Physics, Jul 31, 2012
ABSTRACT Quantum measurement requires an observer to prepare a specific measuring device among al... more ABSTRACT Quantum measurement requires an observer to prepare a specific measuring device among alternatives where the prepared basis of states, representing the device, is the way the observer interprets quantum reality into his macroscopic word. We redefine that observer role through a new concept: The observer determination, that is, a selection between the measurement options facing the observer. Unlike the measurement itself that is rationalized as dictated by nature, the observer determination can neither be measured nor proven to be true or false. In this paper we propose a mathematical formalism demonstrating how to define the observer determination. Moreover, we present a scheme showing how the apparently subjective observer determination transform into a measurable quantity.
Defining a hierarchy of spaces, we herein propose a mathematical model to describe a learning pro... more Defining a hierarchy of spaces, we herein propose a mathematical model to describe a learning process based upon fundamental concepts uploaded to higher-rank areas so as to generate more advanced items. We implemented mathematical tools borrowed from quantum mechanics: linear algebraic spaces, the Fock space, and the quantum collapse theory.
By simultaneously analyzing sets of data, we propose a quantum implementation for handling a larg... more By simultaneously analyzing sets of data, we propose a quantum implementation for handling a large amount of data. Our research may be useful in big data analysis. 1. Introduction Based on entangled states, quantum computers have the advantage of simultaneously implementing a large number of processes. The coherence of entanglement enables a single operator (logical gate) to be activated simultaneously on all of the states in the superposition [1, 2]. Consequently, to implement a quantum computer, a quantum algorithm has to be implemented. Quantum algorithms were first developed in the early-1990s, such as the Deutsch-Jozsa oracle-algorithm [3], which was followed by Ethan Bernstein and Umesh Vazirani's[4][5] algorithm. In Simon's algorithm,[6] the advantage of a quantum computer is demonstrated with an algorithm that is exponentially faster than any classical algorithm. Meanwhile, Shor's algorithm provides a polynomial complexity, whereas a classical algorithm usually take super-polynomial time (i.e. an algorithm not bounded above by any polynomial) [7]. Grover introduced a search engine algorithm with complexity O √ N that is more efficient then the classical algorithm, which is O (N/2) [8]. The main problem in all of this promising research is the implementation; that is, the ability to built a quantum computer in reasonable terms. In recent years, the digital world has grown very quickly and has become ever more complex. This complexity is associated with the term big data[9], which is a set of data that is so large that it cannot be effectively managed by conventional data management tools [10]. Although it seems that quantum computers are an ideal tool to serve these big data systems, quantum computers are still impracticable to implement. In this paper, we propose a different quantum approach that can simultaneously analyse a large amount of data. Although our process allows many processes to work simultaneously, it is not within the conventional frame of quantum computers.
We present a complete interpretation theory in the following sense: we observe that each measurin... more We present a complete interpretation theory in the following sense: we observe that each measuring device represents a concept set (such as the set of locations) while the measurement activity associates the measured object with an appropriate member from the concepts set. In that sense, the measurement process is the only interpretation of reality. In this article, we deal with the evolution of this interpreting measuring device for a 2-D Hilbert space. It is shown that nonlinear recursive maps give rise to a unique projective operator accompanied with the collapse ability and consequently to a measuring device. Our formalism can be easily interpreted as a single brain signal.
Coherence and interaction are important concepts in physics. While interaction describes a relati... more Coherence and interaction are important concepts in physics. While interaction describes a relation between individual objects such as forces acting between distinguishable particles, coherent objects exist with the sole purpose of describing a single object. For example, each component of a vector provides us with only partial information. The whole picture is revealed only when the components are coherently related to their generating vector. Another example is a singlet of two spin ½- particles. The true nature of these two coherent particles is described by a spin-less single particle. Apparently it seems that objects can be either coherent or lion-coherent but they cannot be both simultaneously. This is almost true. We show that a system can be described simultaneously as coherent and lion-coherent but an observer can distinguish only one concept at a time.
Quantum theory presents a unique scenario pertaining to collapse processes. A device that measure... more Quantum theory presents a unique scenario pertaining to collapse processes. A device that measures variables incompatible with those being detected collapses randomly into one of the states defined by the measuring device. The distinction that a collapsed output is not an accurate description of reality but rather a random selection from a set of values derived from the measuring device allows us to utilize the collapse process to propose a scheme wherein a machine becomes capable of performing interpreting processes. We present herein a basic schematic of a machine that demonstrates the principle of interpretation relying on the polarization phenomenon of photons. The operation of the device is demonstrated using an ambiguous figure. We believe that building an interpreting device can contribute to the field of AI.
International Journal of Theoretical Physics, Jul 31, 2012
ABSTRACT Quantum measurement requires an observer to prepare a specific measuring device among al... more ABSTRACT Quantum measurement requires an observer to prepare a specific measuring device among alternatives where the prepared basis of states, representing the device, is the way the observer interprets quantum reality into his macroscopic word. We redefine that observer role through a new concept: The observer determination, that is, a selection between the measurement options facing the observer. Unlike the measurement itself that is rationalized as dictated by nature, the observer determination can neither be measured nor proven to be true or false. In this paper we propose a mathematical formalism demonstrating how to define the observer determination. Moreover, we present a scheme showing how the apparently subjective observer determination transform into a measurable quantity.
It is known that a dissipative environment is well described by chaotic process while regular dyn... more It is known that a dissipative environment is well described by chaotic process while regular dynamics are associated with animate systems. In this paper, we explore the inverse map of some chaotic maps to find if they are always regular. By reversing a chaotic map, we have been able to obtain a regular process that is associated with the birth of animate systems.
<jats:p>In this paper, we introduce a mathematical formalism that demonstrates how concepts... more <jats:p>In this paper, we introduce a mathematical formalism that demonstrates how concepts are implemented in physical theories, with a focus on the agility concept. We define a concept manifestation as a process, in which a concept is assigned to an object (e.g., a body or a particle). In the implementation stage, a physical theory is spanned, and we demonstrate how the implementation of the concept of agility generates the rules of classical mechanics and, in some aspects, general relativity. Using this approach, we show that both expressions for momentum— &lt;mml:math display="inline"&gt; &lt;mml:mover accent="true"&gt; &lt;mml:mi&gt;p&lt;/mml:mi&gt; &lt;mml:mo&gt;&lt;/mml:mo&gt; &lt;/mml:mover&gt; &lt;mml:mo&gt;=&lt;/mml:mo&gt; &lt;mml:mi&gt;m&lt;/mml:mi&gt; &lt;mml:mover accent="true"&gt; &lt;mml:mrow&gt; &lt;mml:mover accent="true"&gt; &lt;mml:mrow&gt; &lt;mml:mi&gt;r&lt;/mml:mi&gt; &lt;/mml:mrow&gt; &lt;mml:mo&gt;&lt;/mml:mo&gt; &lt;/mml:mover&gt; &lt;/mml:mrow&gt; &lt;mml:mo&gt;&lt;/mml:mo&gt; &lt;/mml:mover&gt; &lt;/mml:math&gt; and &lt;mml:math display="inline"&gt; &lt;mml:mover accent="true"&gt; &lt;mml:mi&gt;p&lt;/mml:mi&gt; &lt;mml:mo&gt;&lt;/mml:mo&gt; &lt;/mml:mover&gt; &lt;mml:mo&gt;=&lt;/mml:mo&gt; &lt;mml:mo stretchy="false"&gt;(&lt;/mml:mo&gt; &lt;mml:mi mathvariant="italic"&gt;&lt;/mml:mi&gt; &lt;mml:mo&gt;/&lt;/mml:mo&gt; &lt;mml:mi&gt;λ&lt;/mml:mi&gt; &lt;mml:mo stretchy="false"&gt;)&lt;/mml:mo&gt; &lt;mml:mover accent="true"&gt; &lt;mml:mrow&gt; &lt;mml:mi&gt;c&lt;/mml:mi&gt; &lt;/mml:mrow&gt; &lt;mml:mo&gt;&lt;/mml:mo&gt; &lt;/mml:mover&gt; &lt;/mml:math&gt; —originate from the same source-time derivative of an agility operator. We conclude that physical laws that can serve as representative concepts may be useful in artificial intelligence systems.</jats:p>
It is known that a Hall current can be obtained in the presence of a battery. Recently, it was sh... more It is known that a Hall current can be obtained in the presence of a battery. Recently, it was shown that a sort of Hall current can be obtained even in the absence of a battery, by geometrical means. In this paper we show that both kinds of currents, in a sense, stem from a common cause. Moreover, we show
The scientific approach usually looks for a single truth that will explain phenomena in nature an... more The scientific approach usually looks for a single truth that will explain phenomena in nature and avoids finding different interpretations to describe the same event as much as possible. On the other hand, in the human perception (and that of most animals) of any observed phenomenon, there may be several interpretations. In the article, we demonstrate an interpretation of data using two ambiguous images. This figure can be interpreted as a duck or a rabbit, and a fuzzy picture decoded as only the letter B or the number 13 (see figures in the proceeding). Today, with the development of artificial intelligence, adding a process where a machine can perform its interpretation can advance this technology. In this paper, we develop quantum-like algorithms to describe the interpretation process. Although our description is more of a mathematical proposal than a concrete quantum mechanics description, it allows the possibility of planning an actual quantum-based interpreting machine. At the process's core, there is a quantum measurement, where the result represents the event's final interpretation. The randomness accompanying this quantum measurement means that the result (an interpretation) is known only to the observer, who is defined as part of the interpreting machine and is not known to outside observers.
Quantum mechanics introduces the concept of an observer who selects a measuring device and reads ... more Quantum mechanics introduces the concept of an observer who selects a measuring device and reads the outputs. This measurement process is irreversible. Lately, scholars on quantum collapse phenomena have presented a quantum-like formalism describing the measurement results as an interpretation of the measured object. Note that an observer must read the interpretation results after the interpretation process. Therefore, we propose that the definition of the concept of life should be expanded based on the following concept: A living system decreases entropy, measured results are interpreted, and an internal observer reads the commentary. In this study, we derived the mathematical tools for this description. Specifically, we demonstrated that this process reduces entropy, according to the conventional theories defining life.
n our previous paper, we showed that the so-called quantum entanglement also exists in classical ... more n our previous paper, we showed that the so-called quantum entanglement also exists in classical mechanics. The inability to measure this classical entanglement was rationalized with the definition of a classical observer which collapses all entanglement into distinguishable states. It was shown that evidence for this primary coherence is Newton’s third law. However, in reformulating a "classical entanglement theory" we assumed the existence of Newton’s second law as an operator form where a force operator was introduced through a Hilbert space of force states. In this paper, we derive all related physical quantities and laws from basic quantum principles. We not only define a force operator but also derive the classical mechanic's laws and prove the necessity of entanglement to obtain Newton’s third law.
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Mathematics by Yehuda Roth
Papers by Yehuda Roth
Today, with the development of artificial intelligence, adding a process where a machine can perform its interpretation can advance this technology.
In this paper, we develop quantum-like algorithms to describe the interpretation process. Although our description is more of a mathematical proposal than a concrete quantum mechanics description, it allows the possibility of planning an actual quantum-based interpreting machine. At the process's core, there is a quantum measurement, where the result represents the event's final interpretation. The randomness accompanying this quantum measurement means that the result (an interpretation) is known only to the observer, who is defined as part of the interpreting machine and is not known to outside observers.
"classical entanglement theory" we assumed the existence of Newton’s second law as an operator form where a force operator was introduced through a Hilbert space of force states. In this paper, we derive all related physical quantities and laws from basic quantum principles. We not only define a force operator but also derive the classical mechanic's laws and prove the necessity of entanglement to obtain Newton’s third law.