The harmonic neutron hypothesis is a theory of everything and a grand unified theory. A theory of everything refers to the hypothetical presence of a single, all-encompassing, coherent theoretical framework of physics that fully explains and links together all physical aspects of the universe.

The universe is a spontaneous self-organized world that is naturally beautiful from both the human and mathematical perspectives. There are segments of physics that are well understood, and those are usually based on very simple mathematical and geometric patterns. If each of these understood segments of physics are comprehensible and simple, why should the whole system be disconnected, unfathomable, and totally different? The whole system should reflect similar patterns as the understood sub sections of physics if they are all following the “same” rules.

This hypothesis assumes that there is a very simple mathematical and physical pattern that links together all physical aspects of the universe. In this model the mathematical pattern is the simplest possible math series, a consecutive integer series of 0, 1, 2, 3 … “n” is the classic terminology that refers to any integer. In this model there are four finite integer series avoiding problems with infinity. Two of them are natural units defined by physical entities, and two are small number integer sets. The model is a completely discrete quantum integer system, not a continuous number pattern. Nature literally inverts the conceptual and mathematical problem of very large n value by a simple elegant solution. The series 1/±n is bound from -1 to +1 which is manageable. There is no infinity in this model, avoiding all of its associated potential mathematical problems.

Where in nature is this type of n and 1/n pattern found? This 1/n pattern represents the only possible wavelengths of a vibrating string with a unit distance of 1 since only integer numbers of full sine waves can completely fill that wavelength. This is a self-organizing system which appears to demonstrate “integer logic”, but this is just a reflection of what is possible. The wavelengths also define the possible frequencies of the string which is n. When a string is plucked these frequencies can be measured so this is not a theoretical concept, and they represent the natural harmonic tones. This pattern is the foundation of music. This natural “musical” phenomenon is seen as many physical manifestations so this is a ubiquitous pattern.

This integer number system has a dual meaning. The wavelength is 1/n, and the frequency is n. They are two different physical measures / manifestations, but they are completely linked by a common integer n. This system is totally defined by pure number properties. The number properties define the actual physical properties, not visa versa. This is a classic manifestation of quantum systems. This is not the standard view of physics though.

In quantum physics Planck’s law states that the only possible electromagnetic photon wave frequencies that can naturally radiate from matter are integer frequencies, and the only possible wavelengths of those photons are the distance light travels in one unit time divided by n. This is the identical pattern of a simple vibrating string yet related to the cosmic property of the speed of light, and the quantum property of electromagnetic energy. In chemistry the only possible elements or groups of elemental matter have n number of nucleons and represents a consecutive integer series as well. These are both integer consecutive series starting at one.

There is a very unique potential transformation point related to these two parallel integer series. A photon with the energy of twice that of the mass of the neutron can spontaneously transform into a neutron and antimatter neutron. This represents a known physical phenomena called pair production. It literally represents the transformation of photon wave energy to matter. The point represents a unique ratio relationship of consecutive integer series of energy to matter. This ratio represents the unique fundamental frequency that inter-relates all of the physical constants.

If this n, 1/n pattern defines the natural harmonic possibilities of a string, elemental matter of the periodic chart, Planck’s energy / frequency law then perhaps the whole system is defined by this pattern as well. The fundamental harmonic neutron hypothesis is that the all of the fundamental constants as frequency equivalents independent of their standard physical unit are linked in this ubiquitous identical pattern. The universe’s “string vibration rate” is the frequency equivalent of the neutron. The neutron is the “mother” of all aspects of physics independent of force, and bridges the atomic, subatomic, cosmic, and quantum worlds. The fundamental frequency of the universe is what everything else is tuned to and resonates with. The neutron is the universal note that every other possible entity is tuned to.

When the “neutron string” is plucked the only possible harmonic possibilities are related to n harmonic frequencies and 1/n wavelengths in both the linear frequency domain and an exponential one. Each n represents another possible fundamental constant or frequency just like each n represents another isotope or photon.

It will be shown that it is possible to derive many of the most important physical constants from four finite number sets. One set is the integer frequency equivalent of the neutron. This series defines all of the possible masses, frequency, distances, velocities, and densities. The second set are frequency equivalents of the electron, Bohr radius, and the ionization energy of hydrogen scale the system. The third integer set is {2-12} which defines the first generation of particle and bosons. The fourth set represents higher prime numbers associated with higher order particles and bosons. The derived evaluated of the physical constants are all within or exceed the known experimental data so the hypothesis can be tested and verified utilizing standard power law methods.

The model is purely computational so there is not speculation or numerology in its predictions or derivations. The inter-relationships and hierarchy of the fundamental constants are explained. It is hypothesized it is possible to relate any physical constant from any other one starting with this highly restricted data set.

This method is not the Standard Model. It is usually not in conflict with the Standard Model or many classic physics method. The interpretation of some of the physical constants can have a different perspective than the Standard Model, but be scaled equally. This method succeeds where the Standard Model fails to seamlessly integrate classic, quantum, and cosmic phenomena into a single unified virtual mathematical system that works.