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.
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.
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.
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?
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.
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?
In Chap. 6 we presented in detail the relationship between observation and information, arriving at a very important result, namely, that for every observation there is a compensatory increase in entropy of other sources. We have shown that every physical observation, as well as every physical device, is ultimately limited by Heisenberg's uncertainty principle from quantum mechanics. In observing the most minute object or a small distance, there is a practical limit at which great accuracy cannot be achieved. Also, the smaller the distances or objects to be observed are, the more costly the energy (or entropy) required. In some instances, the amount of energy required may even approach infinity.