Science 101: What, Exactly, Is the Heisenberg Uncertainty Principle?

Bill Robertson

Giuseppe Rocco Gembillo

In this work I propose an analogy between Pythagoras's theorem and the logical-formal structure of Werner Heisenberg's “relations of uncertainty.” The reasons that they have pushed to me to place this analogy have been determined from the following ascertainment: Often, when in exact sciences a problem of measurement precision arises, it has been resolved with the resource of the elevation to the square. To me it seems also that the aporie deriving from the uncertainty principle can find one solution with the resource to this stratagem. In fact, if the first classic example of the argument is the solution of the incommensurability between catheti and the hypotenuse of the triangle rectangle, one of the last cases is that which is represented from Heisenberg's principle of uncertainty.

Charles H. Holbrow, James N. Lloyd, Joseph C. Amato

Jia-Min Song, Ding-Fang Zeng, Changyu Huang +1 more

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.

Charles H. Holbrow, James N. Lloyd, Joseph C. Amato +2 more

Francis T. S. Yu

Since quantum mechanics is one of the pillars of modern science, this chapter discusses one of the most intriguing principles in quantum mechanics, the uncertainty principle. In this it examines Heisenberg's principle was based on a diffraction limited observation, instead of upon a “nature” of time, developing his principle. There is a profound relationship between science and mathematics, in which people have seen that without mathematics there would be no science. In other words, science needs mathematics but mathematics does not need science. Although science is mathematics, mathematics is not science. Since an empty subspace has “no time”, all particles within the subspace collapse or “superimpose” instantly all together at t = 0, because time is distance and distance is time. This is precisely what the “simultaneous and instantaneous” superposition principle does in quantum mechanics. One of the most intriguing principles in quantum theory must be Heisenberg's uncertainty principle.