## Unified decay equation for individual nucleons

The original Cordus conjecture [1] was a broad conceptual work, and we did not foresee that assuming a two-ended structure for particles would ultimately lead to highly specific predictions for many other phenomena, including nuclear processes as here. Now the theory predicts that neutrino-species can induce decay, and do so asymmetrically [2]. That paper also predicted an underlying orderliness to the decay processes, in the form of a unified decay equation for individual protons and neutrons (nucleons).

Nucleons decay by β- neutron decay, β+ proton decay, and electron capture. These decays proceed by the emission of a neutrino species in the output stream. This is the forward direction. There is also a predicted inverse decay, where the neutrino-species is supplied as an input. The theory also predicts that the inverse decay can be induced, depending on the particle identities.

It is proposed that all these decays can be expressed in a single equation, the unified decay equation, given by:

p + 2y + iz <=> n + e + v

with

n             neutron

p             proton

e             electron

e             antielectron

v              neutrino

v              antineutrino

y              photon

z              discrete force complex (a type of vacuum fluctuation)

2y           a pair of photons

i               quantity, e.g. of photons

<=>        indicates the decay is bidirectional

The equation can be rearranged. However, and this is important, there is a species transfer rule. Thus particles other than photons change matter-antimatter hand when transferred over the equality. One also has to be sensible about mass when predicting which side the photons are required.

For example, this equation may be rearranged to represent β-, β+, and EC in the conventional forward directions:

β- neutron decay: n => p + e + v

β+ proton decay: p + 2y => n + e + v

Electron capture (EC): p + e => n + v

Furthermore, by representing the equality as bidirectional we can show both the conventional (forward) and proposed neutrino-species induced decays in simple equations. For example:

p + e + v <=> n

with β- in the ‘<=’ direction, and antineutrino induced electron capture represented by ‘=>’.

It is simple to represent additional decays such as:

p + n <=> e + v + iy

Many other applications are possible. This simple mechanics of manipulating decay equations permits an efficient representation. The many different decays can all be represented in one equation. The equation holds for the conventional decays even if its reliability for the induced decays still needs to be validated.

So instead of trying to remember the three conventional decays (β-, β+, EC), simply remember one unified equation p + 2y + iz <=> n + e + v

## References

1. Pons, D. J., Pons, A. D., Pons, A. M., and Pons, A. J., Wave-particle duality: A conceptual solution from the cordus conjecture. Physics Essays, 2012. 25(1): p. 132-140. DOI: http://physicsessays.org/doi/abs/10.4006/0836-1398-25.1.132 or http://vixra.org/abs/1106.0027 .
2. Pons, D. J., Pons, A. D., and Pons, A. J., Asymmetrical neutrino induced decay of nucleons Applied Physics Research, 2015. 7(2): p. 1-13. DOI: http://dx.doi.org/10.5539/apr.v7n2p1 or http://vixra.org/abs/1412.0279