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CRC Press eBooks

Entropy and Information Optics

Francis T. S. Yu

Published Nov 28, 2017• 20 citations
Publisher

Abstract

This book shows there is a profound connection between information and entropy. Without this connection, information would be more difficult to apply to science. This book covers the connection and the application to modern optics and radar imaging. It shows that there exists a profound relationship between Einstein’s relativity theory and Schröinger’s quantum mechanics, by means of the uncertainty principle. In due of the uncertainty relation, this book shows that every bit of information takes time and energy to transfer, to create and to observe. The new edition contains 3 new chapters on radar imaging with optics, science in the myth of information, and time and the enigma of space.

DOI
10.1201/b22443

Related papers

Information in Myth of Science and Creation

Francis T. S. Yu

Since every substance has a price tag of information that includes all the building blocks in our universe, one cannot simply ignore information when dealing with science. We have shown that there is a profound connection between information and entropy, a quantity that has been well accepted in science. Without this connection, information would be more difficult to apply in science. Two of the most important pillars in modern physics must be Einstein’s relativity theory and Schrödinger’s quantum mechanics. However, there exists a profound connection between them, by means of Heisenberg’s uncertainty principle. Due to the uncertainty relation, we see that every bit of information takes time and energy to transfer, create, and observe. Since one cannot create something from nothing, anything to be created needs a huge amount of energy and a great deal of entropy to make it happen.

CRC Press eBooks•Nov 28, 2017•0 citations

Science and the Myth of Information

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In this chapter, we show the mythical relationship between science and information. Since every substance has a price tag or price tags of information which includes all the building blocks in our universe, one cannot simply ignore information when dealing with science. We have shown that there is a profound connection between information and entropy, a quantity that has been well accepted in science. Without this connection, information would be more difficult to apply to science. Two of the most important pillars in modern physics must be the Einstein’s relativity theory and the Schrödinger’s quantum mechanics. We show that there exists a profound relationship between them, by means of the Heisenberg uncertainty principle. In due of the uncertainty relation, we show that every bit of information takes time and energy to transfer, to create, and to observe. Since one cannot create something from nothing, we show that, anything to be created needs a huge amount of energy and requires a great deal of entropy to make it happen! My question is that: Can we afford it?

CRC Press eBooks•Nov 19, 2019•0 citations

Science and the myth of information

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In this article, we show the mythical relationship between science and information. Since every substance has a price-tag or price-tags of information which includes all the building blocks in our universe, one can not simply ignore information when dealing with science. We have shown that there is a profound connection between information and entropy, a quantity that has been well accepted in science. Without this connection, information would be more difficult to apply to science. Two of the most important pillars in modern physics must be the Einstein’s relativity theory and the Schrödinger’s quantum mechanics. We show that there exists a profound relationship between them, by means of the uncertainty principle. In due of the uncertainty relation, we show that every bit of information takes time and energy to transfer, to create and to observe. Since one cannot create something from nothing, we show that, anything to be created needs a huge amount of energy and requires a great deal of entropy to make it happen! My question is that, can we afford it?

Optical Memory and Neural Networks•Apr 1, 2016•5 citations

Light and information

Francis T. S. Yu

Light is not just the major source of energy that supports life and it is also a very viable information carrier. In this article, we showed that there is an intimate relationship between information and light as a carrier. We discussed the Uncertainty Principle of Heisenberg as related to information, in which we showed that every bit of information (or quanta of light) is limited by an unit cell of information and it is associated with a cost of entropy. Examples are given within the limit and beyond the Uncertainty Principle. We have shown that time and frequency resolutions cannot be observed simultaneously and yet the imaging can also be obtained within the limit of Certainty! We have further shown a crucial connection between the uncertainty principle and the relativity theory of Einstein, in which we see that very high speed object is conceivable to be detected at the expensed of the observation speed.

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Light and information

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Light is not just the major source of energy that supports life and it is also a very viable information carrier. In this article, we showed that there is an intimate relationship between information and light as a carrier. We discussed the Uncertainty Principle of Heisenberg as related to information, in which we showed that every bit of information (or quanta of light) is limited by an unit cell of information and it is associated with a cost of entropy. Examples are given within the limit and beyond the Uncertainty Principle. We have shown that time and frequency resolutions cannot be observed simultaneously and yet the imaging can also be obtained within the limit of Certainty! We have further shown a crucial connection between the uncertainty principle and the relativity theory of Einstein, in which we see that very high speed object is conceivable to be detected at the expensed of the observation speed.

Optical Memory and Neural Networks•Oct 1, 2015•0 citations

Uncertainty, certainty,and and relativity (Invited Paper)

Francis T. S. Yu

One of the most fascinating principles in quantum mechanics must be Heisenberg’s uncertainty principle, which can be briefly stated as follows: every physical observation cannot be precisely determined without some degree of error or uncertainty. And it is by no means can one use the principle within the limit of certainty region, as will be shown in this Letter. Two of the most important pillars in modern physics must be Einstein’s relativity theory and Schr dinger’s contribution to quantum mechanics. Yet, there is a profound connection between these discoveries by means of the uncertainty relationship, in which we shown that the observation of a high-speed object is conceivable if the speed of the observer keeps up with object’s speed.

Chinese Optics Letters•Jan 1, 2016•0 citations
This book shows there is a profound connection between information and entropy. Without this connection, information would be more difficult to apply to science. This book covers the connection and the application to modern optics and radar imaging. It shows that there exists a profound relationship between Einstein’s relativity theory and Schröinger’s quantum mechanics, by means of the uncertainty principle. In due of the uncertainty relation, this book shows that every bit of information takes time and energy to transfer, to create and to observe. The new edition contains 3 new chapters on radar imaging with optics, science in the myth of information, and time and the enigma of space.
Since every substance has a price tag of information that includes all the building blocks in our universe, one cannot simply ignore information when dealing with science. We have shown that there is a profound connection between information and entropy, a quantity that has been well accepted in science. Without this connection, information would be more difficult to apply in science. Two of the most important pillars in modern physics must be Einstein’s relativity theory and Schrödinger’s quantum mechanics. However, there exists a profound connection between them, by means of Heisenberg’s uncertainty principle. Due to the uncertainty relation, we see that every bit of information takes time and energy to transfer, create, and observe. Since one cannot create something from nothing, anything to be created needs a huge amount of energy and a great deal of entropy to make it happen.
In this chapter, we show the mythical relationship between science and information. Since every substance has a price tag or price tags of information which includes all the building blocks in our universe, one cannot simply ignore information when dealing with science. We have shown that there is a profound connection between information and entropy, a quantity that has been well accepted in science. Without this connection, information would be more difficult to apply to science. Two of the most important pillars in modern physics must be the Einstein’s relativity theory and the Schrödinger’s quantum mechanics. We show that there exists a profound relationship between them, by means of the Heisenberg uncertainty principle. In due of the uncertainty relation, we show that every bit of information takes time and energy to transfer, to create, and to observe. Since one cannot create something from nothing, we show that, anything to be created needs a huge amount of energy and requires a great deal of entropy to make it happen! My question is that: Can we afford it?
In this article, we show the mythical relationship between science and information. Since every substance has a price-tag or price-tags of information which includes all the building blocks in our universe, one can not simply ignore information when dealing with science. We have shown that there is a profound connection between information and entropy, a quantity that has been well accepted in science. Without this connection, information would be more difficult to apply to science. Two of the most important pillars in modern physics must be the Einstein’s relativity theory and the Schrödinger’s quantum mechanics. We show that there exists a profound relationship between them, by means of the uncertainty principle. In due of the uncertainty relation, we show that every bit of information takes time and energy to transfer, to create and to observe. Since one cannot create something from nothing, we show that, anything to be created needs a huge amount of energy and requires a great deal of entropy to make it happen! My question is that, can we afford it?
Light is not just the major source of energy that supports life and it is also a very viable information carrier. In this article, we showed that there is an intimate relationship between information and light as a carrier. We discussed the Uncertainty Principle of Heisenberg as related to information, in which we showed that every bit of information (or quanta of light) is limited by an unit cell of information and it is associated with a cost of entropy. Examples are given within the limit and beyond the Uncertainty Principle. We have shown that time and frequency resolutions cannot be observed simultaneously and yet the imaging can also be obtained within the limit of Certainty! We have further shown a crucial connection between the uncertainty principle and the relativity theory of Einstein, in which we see that very high speed object is conceivable to be detected at the expensed of the observation speed.
Light is not just the major source of energy that supports life and it is also a very viable information carrier. In this article, we showed that there is an intimate relationship between information and light as a carrier. We discussed the Uncertainty Principle of Heisenberg as related to information, in which we showed that every bit of information (or quanta of light) is limited by an unit cell of information and it is associated with a cost of entropy. Examples are given within the limit and beyond the Uncertainty Principle. We have shown that time and frequency resolutions cannot be observed simultaneously and yet the imaging can also be obtained within the limit of Certainty! We have further shown a crucial connection between the uncertainty principle and the relativity theory of Einstein, in which we see that very high speed object is conceivable to be detected at the expensed of the observation speed.
One of the most fascinating principles in quantum mechanics must be Heisenberg’s uncertainty principle, which can be briefly stated as follows: every physical observation cannot be precisely determined without some degree of error or uncertainty. And it is by no means can one use the principle within the limit of certainty region, as will be shown in this Letter. Two of the most important pillars in modern physics must be Einstein’s relativity theory and Schr dinger’s contribution to quantum mechanics. Yet, there is a profound connection between these discoveries by means of the uncertainty relationship, in which we shown that the observation of a high-speed object is conceivable if the speed of the observer keeps up with object’s speed.