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PDF | J.C.A. Boeyens and P. Comba Chemistry by Number Theory J.C.A. Boeyens Chemistry in Four Dimensions C.J.H. Schutte Is the.

**Table of contents**

- Levendis, Demetrius C.
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- Jan C. A. Boeyens

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To be of practical use the number theory results, which pertain specifically to pairwise diatomic interactions, might be incorporated into algorithms that simulate more complex molecules. Molecular mechanics appears to be an appropriate model to achieve this. In the current quantum chemistry world, molecular mechanics appears to be a "low-level", entirely empirical model which fully ignores the relevant electronic effects [4]. However, via specific atom types, the electronics may be accounted for, and there are a number of recent developments which include specific electronic terms, based on classical quantum chemistry [].

More importantly, in terms of structural modeling, the quality of MM only depends on the force field and its parameterization based on experimental data [9]. The approach presented in this volume suggests that number-theory-based models may significantly reduce the parameter space and, more importantly, produce generic parameters, which might or might not be optimized, based on experimental data in order to obtain a higher accuracy.

The development of chemical theory in terms of number theory is not new [10]. What is new is the realization that we are dealing with a four-dimensional problem, the analysis of which requires a fundamentally different mathematical treatment. Physically it means that a 3D analysis in terms of point particles is necessarily incomplete. The analysis by Schutte demonstrates beyond any doubt that the basic assumption of atomic spectroscopy, based on the traditional separation of space and time variables, is not supported by experiment. The most glaring demonstration that a 4D analysis is required is provided by the appearance of electron spin, which never emerges in any 3D model.

It is important to understand that spin is not a relativistic effect, but derives from the four-dimensional conservation of angular momentum.

These features were not known before and this is the first effort to take their consequences into account. It needs a radically new model of atomic electron distribution, and the exciting thing is that such a model is provided by an optimization by logarithmic spirals. The result is in striking agreement with a standing-wave model of electron density that involves the golden ratio and many other aspects of elementary number theory.

Without further assumptions this model of atomic structure can be interpreted directly as the definitive basis of atomic ionization radii and electronegativity.

## Levendis, Demetrius C.

Our reference to previous conclusions about the origin of the periodic table is done to explain the earlier empirical conclusions more logically. What is new in the re-examination of covalent interactions is that the approach in terms of a four-dimensional wave structure leads to a precise definition of bond order, not achieved before.

Without science writers looking for sensation, it is difficult to see how such nonsense could ever become a topic for serious scientific discussion. He was also a strong believer in practical work to obtain tangible results over theoretical calculations:. All advances in chemistry happen at the bench, as it should, but without the theoretical understanding, even of common events such as intramolecular rearrangement. No calculation can predict chemical reactions. Levendis references the work of Peter Plichta.

In it they try to replace modern quantum physics with elementary number theory, but unlike Plichta they do not question the general theory of relativity :. It is a myth that chemistry derives from quantum theory.

More fundamental than both is the periodic table that reduces the properties of matter to a number basis, which is revealed only peripherally in the differential equations of quantum theory. Listen to this article Thanks for reporting this video! For faster navigation, this Iframe is preloading the Wikiwand page for Jan C. Our magic isn't perfect You can help our automatic cover photo selection by reporting an unsuitable photo. The cover is visually disturbing.

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This article may rely excessively on sources too closely associated with the subject, potentially preventing the article from being verifiable and neutral. January Learn how and when to remove this template message. In relativity theory this requires the space-like region of the underlying Minkowski space-time to be rejected as unphysical, despite its precise mathematical characterization.

In quantum theory it leads to an incomprehensible interpretation of the wave nature of matter in terms of a probability function and the equally obscure concept of wave-particle duality. The most worrisome aspect about quantum mechanics as a theory of chemistry is its total inability, despite unsubstantiated claims to the contrary, to account for the fundamental concepts of electron spin, molecular structure, and the periodic table of the elements. A remedy of all these defects by reformulation of both theories as nonlinear wave models in four-dimensional space-time is described.

Lectures on Quantum Mechanics. Steven Weinberg. Roger Penrose. The Physical Principles of the Quantum Theory.

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## Jan C. A. Boeyens

L D Landau. Special Relativity: A First Encounter. Domenico Giulini. Practical Relativity. Richard N. Ideas of Quantum Chemistry.