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The Schrödinger Equation and the Scale Principle

Rodolfo A. Frino

Earlier this year (May) I wrote a paper entitled Scale Factors and the Scale Principle. In this paper I formulated a new law which describes a number of fundamental quantum mechanical laws. Since then I found that other quantum mechanical laws including the Bohr postulate and the De Broglie wavelength formula also obey the scale principle. Later I proved that this new law also describes the formula for the Schwarzschild radius, the equation for Einstein’s relativistic energy and Newton’s law of universal gravitation. Now I discovered that the Schrodinger’s equation can also be explained in terms of the present formulation.Earlier this year (May) I wrote a paper entitled Scale Factors and the Scale Principle. In this paper I formulated a new law which describes a number of fundamental quantum mechanical laws. Since then I found that other quantum mechanical laws including the Bohr postulate and the De Broglie wavelength formula also obey the scale principle. Later I proved that this new law also describes the formula for the Schwarzschild radius, the equation for Einstein’s relativistic energy and Newton’s law of universal gravitation. Now I discovered that the Schrodinger’s equation can also be explained in terms of the present formulation.

Jul 1, 20141 citation

The Improvement of the Heisenberg Uncertainty Principle

L. M. Arévalo Aguilar, C. P. Garcia Quijas, Carlos Robledo-

One of the fundamental cornerstone of quantum mechanics is the Heisenberg uncertainty principle. This principle is so fundamental to quantum theory that it is believed that if a single phenomenon that could violate it is found then the whole building of quantum mechanics will fall apart. However, since the formulation of the uncertainty principle until today there is not clear and universal agreement in its formulation or interpretation. Even Heisenberg was not clear about the exact meaning of p1 and x1 in their first formulation of the uncertainty relations [1]:One of the fundamental cornerstone of quantum mechanics is the Heisenberg uncertainty principle. This principle is so fundamental to quantum theory that it is believed that if a single phenomenon that could violate it is found then the whole building of quantum mechanics will fall apart. However, since the formulation of the uncertainty principle until today there is not clear and universal agreement in its formulation or interpretation. Even Heisenberg was not clear about the exact meaning of p1 and x1 in their first formulation of the uncertainty relations [1]:

InTech eBooksApr 3, 20131 citation

The Bohr Postulate, the De Broglie Condition and the Scale Principle

Rodolfo A. Frino

Earlier this year I wrote a paper entitled Scale Factors and the Scale Principle. In that paper I formulated a new law which describes nature at both quantum and cosmic scales. This article shows that both the Bohr postulate and the De Broglie condition are special cases of the abovementioned formulation.

Jul 1, 20146 citations

The certainty principle II: Proof of the uncertainty principle

D. A. Arbatsky

A more detailed derivation of the Heisenberg uncertainty principle from the certainty principle is given.

arXiv:quant-ph/0603155Mar 17, 20061 citation

A brief review on uncertainty principle and its variants

Manas Protim Saikia

In this paper, using two different formulations, we attempted to first provide an overview of mathematical interpretations of Heisenberg's uncertainty principle. This was done in order to emphasise the mathematical justification for the uncertainty principle's existence. First, we went over in detail the matrix formulation found in Schrodinger's original paper on uncertainty. Next, we reviewed the mathematical proof of the uncertainty principle in a Fourier series formulation and examined the results. We attempted to provide a comprehensive overview of the modified forms of the uncertainty relation in the Quantum Gravitational, Relativistic, and Entropic domains along with other variants after realizing that the most well-known uncertainty relation is not universal. All of these concepts also demonstrate a great deal of potential for use in the emerging new technologies. Our goal was to gather all of these dispersed variations of the uncertainty principle in one location. The current state of these theories, as well as their applications and limitations, are thoroughly discussed.In this paper, using two different formulations, we attempted to first provide an overview of mathematical interpretations of Heisenberg's uncertainty principle. This was done in order to emphasise the mathematical justification for the uncertainty principle's existence. First, we went over in detail the matrix formulation found in Schrodinger's original paper on uncertainty. Next, we reviewed the mathematical proof of the uncertainty principle in a Fourier series formulation and examined the results. We attempted to provide a comprehensive overview of the modified forms of the uncertainty relation in the Quantum Gravitational, Relativistic, and Entropic domains along with other variants after realizing that the most well-known uncertainty relation is not universal. All of these concepts also demonstrate a great deal of potential for use in the emerging new technologies. Our goal was to gather all of these dispersed variations of the uncertainty principle in one location. The current state of these theories, as well as their applications and limitations, are thoroughly discussed.

Journal of Advanced Education and SciencesJan 1, 20260 citations

How I got to understand Heisenberg's Uncertainty Principle

Eli Maor

(2009). How I got to understand Heisenberg's Uncertainty Principle. Math Horizons: Vol. 16, No. 4, pp. 5-33.

Math HorizonsApr 1, 20090 citations

The Heisenberg Uncertainty Principle and the Scale Principle

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The Heisenberg Uncertainty Principle and the Scale Principle

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