# Unified field theory from the classical wave equation: Preliminary application to atomic and nuclear structure

## Abstract

It is postulated that there exists a fundamental energy-like fluid, which occupies the flat three-dimensional Euclidean space that contains our universe, and obeys the two basic laws of classical physics: conservation of linear momentum, and conservation of total energy; the fluid is described by the classical wave equation (CWE), which was Schrödinger’s first candidate to develop his quantum theory. Novel solutions for the CWE discovered twenty years ago are nonharmonic, inherently quantized, and universal in the sense of scale invariance, thus leading to quantization at all scales of the universe, from galactic clusters to the sub-quark world, and yielding a unified Lorentz-invariant quantum theory ab initio. Quingal solutions are isomorphic under both neo-Galilean and Lorentz transformations, and exhibit nother remarkable property: intrinsic unstability for large values of ℓ (a quantum number), thus limiting the size of each system at a given scale. Unstability and scale-invariance together lead to nested structures observed in our solar system; unstability may explain the small number of rows in the chemical periodic table, and nuclear unstability of nuclides beyond lead and bismuth. Quingal functions lend mathematical basis for Boscovich’s unified force (which is compatible with many pieces of evidence collected over the past century), andmore »

- Authors:

- Centro Internacional de Física (CIF), Apartado Aéreo 4948, Bogotá, Colombia, South America (Colombia)
- (Colombia)

- Publication Date:

- OSTI Identifier:
- 22608503

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1753; Journal Issue: 1; Conference: Latin American symposium on nuclear physics and applications, Medellin (Colombia), 30 Nov - 4 Dec 2015; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; FORECASTING; ISOTOPES; LINEAR MOMENTUM; LORENTZ INVARIANCE; LORENTZ TRANSFORMATIONS; MOLECULES; NUCLEAR PHYSICS; NUCLEAR STRUCTURE; ORBITS; QUANTIZATION; QUARKS; SCALE INVARIANCE; SCHROEDINGER EQUATION; SIMULATION; SOLAR SYSTEM; THREE-DIMENSIONAL CALCULATIONS; WAVE EQUATIONS; UNIFIED FIELD THEORIES

### Citation Formats

```
Múnera, Héctor A., E-mail: hmunera@hotmail.com, and Retired professor, Department of Physics, Universidad Nacional de Colombia, Bogotá, Colombia, South America.
```*Unified field theory from the classical wave equation: Preliminary application to atomic and nuclear structure*. United States: N. p., 2016.
Web. doi:10.1063/1.4955356.

```
Múnera, Héctor A., E-mail: hmunera@hotmail.com, & Retired professor, Department of Physics, Universidad Nacional de Colombia, Bogotá, Colombia, South America.
```*Unified field theory from the classical wave equation: Preliminary application to atomic and nuclear structure*. United States. doi:10.1063/1.4955356.

```
Múnera, Héctor A., E-mail: hmunera@hotmail.com, and Retired professor, Department of Physics, Universidad Nacional de Colombia, Bogotá, Colombia, South America. Thu .
"Unified field theory from the classical wave equation: Preliminary application to atomic and nuclear structure". United States.
doi:10.1063/1.4955356.
```

```
@article{osti_22608503,
```

title = {Unified field theory from the classical wave equation: Preliminary application to atomic and nuclear structure},

author = {Múnera, Héctor A., E-mail: hmunera@hotmail.com and Retired professor, Department of Physics, Universidad Nacional de Colombia, Bogotá, Colombia, South America},

abstractNote = {It is postulated that there exists a fundamental energy-like fluid, which occupies the flat three-dimensional Euclidean space that contains our universe, and obeys the two basic laws of classical physics: conservation of linear momentum, and conservation of total energy; the fluid is described by the classical wave equation (CWE), which was Schrödinger’s first candidate to develop his quantum theory. Novel solutions for the CWE discovered twenty years ago are nonharmonic, inherently quantized, and universal in the sense of scale invariance, thus leading to quantization at all scales of the universe, from galactic clusters to the sub-quark world, and yielding a unified Lorentz-invariant quantum theory ab initio. Quingal solutions are isomorphic under both neo-Galilean and Lorentz transformations, and exhibit nother remarkable property: intrinsic unstability for large values of ℓ (a quantum number), thus limiting the size of each system at a given scale. Unstability and scale-invariance together lead to nested structures observed in our solar system; unstability may explain the small number of rows in the chemical periodic table, and nuclear unstability of nuclides beyond lead and bismuth. Quingal functions lend mathematical basis for Boscovich’s unified force (which is compatible with many pieces of evidence collected over the past century), and also yield a simple geometrical solution for the classical three-body problem, which is a useful model for electronic orbits in simple diatomic molecules. A testable prediction for the helicoidal-type force is suggested.},

doi = {10.1063/1.4955356},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1753,

place = {United States},

year = {Thu Jul 07 00:00:00 EDT 2016},

month = {Thu Jul 07 00:00:00 EDT 2016}

}