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Advances in Theoretical & Computational Physics

Universal Uncertainty Principle and Solution to Puzzle of No Giving Exact Values of General Uncertainty of Physics Quantities in Current Quantum Theories

Jia-Min Song, Ding-Fang Zeng, Changyu Huang, Yong-Chang Huang

Published Nov 12, 2025• 0 citations
Publisher

Abstract

The current uncertainty principle is only the variance expressions, which is no complete and cannot satisfy the key and real urgent needs of the exactly describing physical systems up to now about one century since proposing uncertainty principle by Heisenberg. This paper not only deduces universal uncertainty principle but also solves the Puzzle of no giving exact values of general uncertainty of any orders of physical quantities in current different quantum theories, i.e., this paper solves the difficult Puzzle that current quantum computer, quantum communication, quantum control, quantum mechanics, particle physics, and quantum field theory and so on cannot give exact values of general uncertainty of any orders of physical quantities. This paper further gives all relevant different expressions of the universal uncertainty principle and their applications. In fact, our studies are consistent with current theories and physical factual experiments, e.g., relevant to hydrogen atom physics experiments Using the new universal uncertainty principle, people can give all applications to atomic physics, quantum mechanics, quantum communication quantum field theory, particle physics and so on, which will result in renewing to urgently do all works relevant to the universal uncertainty principle in all these sciences.

DOI
10.33140/atcp.08.04.09

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•Aug 1, 2009•0 citations
The current uncertainty principle is only the variance expressions, which is no complete and cannot satisfy the key and real urgent needs of the exactly describing physical systems up to now about one century since proposing uncertainty principle by Heisenberg. This paper not only deduces universal uncertainty principle but also solves the Puzzle of no giving exact values of general uncertainty of any orders of physical quantities in current different quantum theories, i.e., this paper solves the difficult Puzzle that current quantum computer, quantum communication, quantum control, quantum mechanics, particle physics, and quantum field theory and so on cannot give exact values of general uncertainty of any orders of physical quantities. This paper further gives all relevant different expressions of the universal uncertainty principle and their applications. In fact, our studies are consistent with current theories and physical factual experiments, e.g., relevant to hydrogen atom physics experiments Using the new universal uncertainty principle, people can give all applications to atomic physics, quantum mechanics, quantum communication quantum field theory, particle physics and so on, which will result in renewing to urgently do all works relevant to the universal uncertainty principle in all these sciences.
This paper deduces universal uncertainty principle in different quantum theories after about one century of proposing uncertainty principle by Heisenberg, i.e., new universal uncertainty principle of any orders of physical quantities in quantum physics, overcomes the difficulty that current quantum computer, quantum communication, quantum control, quantum mechanics and so on theories cannot give exact values of general uncertainty of any orders of physical quantities, further gives all relevant different expressions of the universal uncertainty principle and their applications. In fact, our studies are consistent with current theories and physical factual experiments, e.g., relevant to hydrogen atom physics experiments. Using the new universal uncertainty principle, people can give all applications to atomic physics, quantum mechanics, quantum communication, quantum calculations, quantum computer and so on.
Applications of interval computations usually assume that while we only know an interval containing the actual (unknown) value of a physical quantity, there is the exact value of this quantity, and that in principle, we can get more and more accurate estimates of this value. Physicists know, however, that, due to uncertainty principle, there are limitations on how accurately we can measure the values of physical quantities. One of the important principles of modern physics is operationalism -- that a physical theory should only use observable properties. This principle is behind most successes of the 20th century physics, starting with relativity theory (vs. un-observable aether) and quantum mechanics. From this viewpoint, it is desirable to avoid using un-measurable exact values and to modify the mathematical formalisms behind physical theories so that they explicitly only take objective uncertainty into account. In this paper, we describe how this can be done for objective interval uncertainty.
The uncertainty principle, formulated by Heisenberg in 1927, is a fundamental principle in quantum mechanics. It forces us to review key concepts of classical physics, and from this analysis are born the concepts of quantum physics. Consequences of the Uncertainty principle also introduces the concept of incompatible sizes, a completely new concept compared to classical physics. A state of the system, which we call a quantum state, will be determined from the knowledge of a set maximum of certain quantities that are independent and compatible with each other. A measurable physical quantity is called an observable. If at a given moment a measurement is performed by one or more compatible observables it is said they are performing an observation of the system. The basic principles of quantum mechanics are expressed by a number of postulates. Their numbers and can vary from one text to another.
As a matter of fact, the Heisenberg’s uncertainty principle has important significance and extensive application in microcosmic particle science, is one of the cornerstones of quantum mechanics, proposed by Heisenberg in 1927. The uncertainty principle means that it is impossible to measure a particle’s speed and position at the same time. The uncertainty of particle, i.e., the product of uncertainty of position (∆Q) and uncertainty of momentum (∆P), is inevitable greater than or equal to Plank’s constant, it expresses the inconsistency between particle behavior in microcosm and macroscopic substance. This study is going to set forth the uncertainty meaning, the research progress of uncertainty principle from the angle of physics, and further exploring the physical significance of Heisenberg’s uncertainty principle. According to the analysis, the state-of-art applications will be demonstrated as well as the current limitations and prospects will be discussed. Overall, these results pave a novel path for further investigation in regarding to Heisenberg’s uncertainty.
Heisenberg's uncertainty principle, which imposes intrinsic restrictions on our ability to predict the outcomes of incompatible quantum measurements to arbitrary precision, demonstrates one of the key differences between classical and quantum mechanics.The physical systems considered in the uncertainty principle are static in nature and described mathematically with a quantum state in a Hilbert space.However, many physical systems are dynamic in nature and described with the formalism of a quantum channel.In this paper, we show that the uncertainty principle can be reformulated to include process measurements that are performed on quantum channels.Since both the preparation of quantum states and the implementation of quantum measurements are themselves special cases of quantum channels, our formalism encapsulates the uncertainty principle in its utmost generality.More specifically, we obtain expressions that generalize the Maassen-Uffink uncertainty relation and the universal uncertainty relations from quantum states to quantum channels.
Heisenberg argued that wave and particle are too exclusively different in properties, making the intrinsic wave-quantum unity of light impossible to visualize and describe by the language. He invented mathematical Quantum Theory to circumvent visualization and inadequacy of language. But mathematics too is a language to supplement description. He used it to superimpose hidden concepts leading to the Uncertainty Principle. In Unified Theory the wave & particle aspects of electromagnetic radiation and moving material particle coexist blended together as wave-quantum UNITY. This is also supported by experiments. The wave-or-quantum DUALITIES of Quantum Theory appear due to experimental limitations to observe only one and not both of the two aspects simultaneously. Conservation of mass & momentum are inviolable. Matter‘s creation from, or dissolution into, ‘nothing’ is unrealistic. So the Heisenberg’s Uncertainty Principle is rejected as unrealistic and new Principle of Null Action with universal applications is introduced. The Copenhagen interpretation of Quantum Theory is reappraised critically. This paper will bring out and rectify the unreality of Heisenberg-Bohr [1] approach and also explain from sharmon medium of the Unified Theory [2], the Wave-Quantum 'unity' appearing as Wave-or-Quantum 'duality', which the Quantum Theory was all about but could not explain satisfactorily. The Uncertainty Principle will be rejected as unrealistic and a new Principle of Null Action with universal applications introduced. The Copenhagen interpretation of Quantum Theory will be critically reappraised. 1. The objective reality exists irrespective of the observer We observe an object through the signals, emanating or reflected from it, received by our senses and interpreted by the brain/mind. The human senses and intellect have their own limitations and the mediating signals themselves introduce some distortion or uncertainty of observation. It turns precise objective reality into imprecise subjective appearance. Heisenberg [1] made the subjective imprecision as the very nature of things and based his Quantum Theory on the observer's imprecise view of the intrinsically precise physical reality. But the physical objects, phenomena and events, which their theories purport to describe, do not actually need any observer for their existence and are, in fact, governed by NOT the observed but actual magnitudes of their physical parameters like energy, momentum, time, length etc. For instance, the moon or distant galaxies or invisible submicroscopic particles exist not only during the attention of the viewer but also without an observer. In order to formulate physical laws in terms of the observed or measured magnitudes, the Quantum Theory is erroneously based on “what can be known”, instead of on “what actually there is”, in the objective reality. That is on the observed, and not on the actual magnitudes, putting the observer's imprecise view super-most in derogation of the inherent precision in the observed objective reality. 2. Wave-or-Quantum duality of matter & radiation in Quantum Theory Heisenberg [1] noted with scientific curiosity and concern that the -rays emitted from radioactive elements showed definite tracks in Wilson photographs like fast moving particles.