www.dipole.se © 1996-2020 

Last updated: 20 June 2020

Bengt E Nyman




Gravity and magnetism are caused by subatomic attraction between atoms. As such it is part of quantum physics even if the underlying mechanism can be described in context of Coulomb forces in easy to understand classical physics as shown below. 


This study came about as a result of experimental computer simulations of Coulomb forces and interactions between protons and electrons in hydrogen atoms as well as between quarks in protons and neutrons. The simulations showed a weak but consistent and robust attraction between particles with zero external charge irrespective of simulation parameters imposed on the particles.

Coulomb forces between two hydrogen atoms are both attracting and repelling. The separately computed individual forces are large but essentially cancel each other except for resulting in a weak, attracting compound force.

It was concluded that because of the electrostatic elasticity between protons and electron orbitals in atoms, the strong Coulomb forces result in small shifts in the location of the charges, in turn resulting in the polarization, the directional alignment, the elongation and the weak, attracting compound force seen in the simulations.

As a consequence of the Coulomb forces, attracting charges pull together, slightly reducing their distance and increasing the force between them, while repelling charges push apart, slightly increasing their distance and reducing the force between them. Based on Coulomb's law the result becomes a slight advantage to the sum of attracting forces over the sum of repelling forces, such that the resulting force balance always yields a small, attracting net force between the atoms.

The mechanism mimics that known as Van der Waals forces and is based on the difference between attracting and repelling Coulomb forces between particles and bodies, but in the case of gravity at a longer distance. It is concluded that because of the movement of the elctrons involved, the overall mechanism also incorporates some of the electromagnetic aspects of Lorentz forces explaining the EM communication of gravity through space. 

The simulations presented below are performed in physically correct simulation software. The simulations shown use simple, electrically charged bodies to represent electrically charged particles using known mass and charge of the particles in question. The simulations do not attempt to reflect any nuclear interactions beyond Coulomb forces between particles and bodies.


Magnetism has long been treated as a separate dsiscipline of physics without a clear connection to other fundamental forces. However, the fundamental force causing magnetism is a Coulomb force between electric dipoles, somewhat similar to the net Coulomb dipole forces causing gravity.

Magnetism occurs when the orbital planes of electrons in a permanent magnet are arranged in parallell, or when a current of electrons is passed through coils arranged as parallell loops of a conductor.

When a ferromagnetic material is exposed to a magnetic field, the electron orbital planes in the exposed material also become temporarily or permanently reoriented in parallell. Because of the parallellism of the orbital planes in the primary and the secondary magnet and the attraction/repulsion between the atoms involved they become dipoles forming a distinct positive and negative side to each atom, similar to the polarization causing gravity except offsetting the center of the proton from the orbital electron plane rather than displacing the proton within the orbital plane as in gravity.


Gravity causes an elliptical orbital of the electron which offsets the proton from the center of orbital charge of the electron creating a dipole.

Magnetism reorients the electron orbitals into being parallell and forces the center of the proton out of the plane of the electron orbital creating a dipole along the magnetic axis.

The root cause of gravity and magnetism is in both cases Coulomb force between electric charges.

          Links to Hydrogen gravity simulations

Charge posturing, dipole formation and Coulomb attraction between 2 hydrogen atoms:

The moving red dot indicates the direction of the dipole axis from the proton to the center of charge of the electron orbital.




          Coulomb electric gravity


          Figure 1. Conceptual example of conditional polarization according to Coulomb's law:

Attraction = ke* q^2* (/0.9^2 + e^2/1.1^2 - e^2/1^2 - e^2/1^2)

                         = ke* q^2* (1/0.81 + 1/1.21 - 1/1 - 1/1)

                         = ke* q^2* (1.23456790 + 0.82644628 - 1 - 1)

                         = ke* q^2* (0.06101418)

                         = ke* 0.061q^2

As can be seen in the result above, the Coulomb interaction between two atoms always yields a small, positive attracting force between the atoms.

Calculation of dipole offset distance X between positive and negative charges in one of the atoms when 1*10^-10 meter apart above.




e = 1.60217662*10^-19

r = 10^-10



K = 8.98755178787*10^9

e = 1.60217662*10^-19

R = 5.291772*10^-11

K*e^2 (1/(r - x)^2 + 1/(r + x)^2 - 2/r^2) - K*e^2 (1/(R - x)^2 - 1/(R + x)^2) = 0

K*e^2 [(1/(r - x)^2 + 1/(r + x)^2 - 2/r^2) - (1/(R - x)^2 - 1/(R + x)^2)] = 0

(1/(r - x)^2 + 1/(r + x)^2 - 2/r^2) - (1/(R - x)^2 - 1/(R + x)^2) = 0

(1/(10^-10-x)^2 + 1/(10^-10+x)^2 - (2/10^-18) - (1/(5.291772*10^-11-x)^2 - 1/(5.291772*10^-11+x)^2)= 0

Answer: Dipole offset distance above: X = 7.1789*10^-12 meter

(Check: External Coulomb force  = 1.86963*10^-44 Newton)

(Internal Coulomb reaction force = 1.86962*10^-44 Newton)

Coulomb dipole gravity between the two atoms = 1.8696*10^-44 Newton

Calculation of Newton gravity between two hydrogen atoms 1*10^-10 meter apart.

F = G*(m1*m2)/r^2

F = 6.674*10^-11(1.67 x 10^-27)^2/(1*10^-10)^2

F = 1.86131*10^-44 Newton

Gravity according to Newton between the same two atoms = 1.8613*10^-44 Newton

Consequently, gravity according to Newton correlates very well to net Coulomb dipole attraction detailed above.

The mechanism of dipole gravity holds true for larger objects and bodies because the ratio of protons to electrons remains the same and neutrons involved are equivalent to a proton with an internalized electron. 

Effective charge

A hydrogen atom unaffected by external influences is centered to where the center of the electron orbital coincides with the center of charge of the proton. The compound charge of this atom = 0. However, when in the proximity of other charges, including other atoms, an atom becomes polarized to where the center of the electron orbital does not coincide with the center of charge of the proton. A polarized atom acts as a dipole with a very low effective positive charge at one end and the corresponding negative charge at the other end.

Calculating the effective dipole charge (e) of two hydrogen dipoles under Coulomb electric gravity:

K*e^2/r^2 = G*m^2/r^2

K = 8.98755178787*10^9

G = 6.674*10^-11

m = 1.6737236*10^-27


e^2 = G*m^2/K = 6.674*10^-11*(1.6737236*10^-27)^2

e^2 = [6.674*10^-11*(1.6737236*10^-27)^2]/8.98755178787*10^9

e^2 = [6.674*10^-11*2.80127169*10^-54)]/8.98755178787*10^9

e^2 = 18.69567598*10^-65/8.98755178787*10^9

e^2 = 2.080*10^-74

e = 1.442*10^-37 Coulomb

Compare this to the charge of the proton (or electron):

1.60217662*10^-19 Coulomb

As can be seen from the above, the effective charge of a hydrogen atom dipole is in this case a miniscule portion of the charge of any of the two constituents, the proton and the electron: 

1.442*10^-37 Coulomb / 1.60217662*10^-19 Coulomb = 9.000*10^-19 of the charge of a proton.

The effective charge and the subsequent force of gravity are consequently very weak compared to the charges and forces at work in for example strong force.

Links to Coulomb dipole gravity simulations:


Charge posturing, dipole formation and Coulomb attraction between 2 hydrogen atoms.

The moving red dot in the simulations below indicates the direction of the dipole axis from the proton to the center of charge of the electron orbital.

The first simulation shows two hydrogen atoms in space. Observe the Coulomb attraction as being the only form of gravity present, pulling the two atoms toward each other.


The second simulation shows two hydrogen atoms in vacuum but in earth gravity.

Notice that initially the lower atom appears not to move because the downward earth gravity happens to be identical to upward atom to atom coulomb dipole gravity.

Also notice as the distance between the atoms becomes shorter how the lower atom starts accelerating toward the upper atom as the atom to atom coulomb dipole gravity overcomes the downward earth gravity.

Finally, as the two atoms contact each other they join in a final descent toward earth due to atoms to earth Coulomb gravity.


Neutrons and Protons


A mechanism similar to the dipole formation in interacting atoms has been observed in computer simulations involving quarks in interacting neutrons and protons. A neutron consists of one +2/3e up quark and two -1/3e down quarks giving the neutron an overall charge of zero.

Links to neutron gravity simulations:

Charge posturing and Coulomb attraction between 2 neutrons:




Figure 3. Posturing between two neutrons:


Coulomb dipole gravity, dipole elongation and the atomic clock.

An atomic clock runs 30 microseconds per day slower at earths surface than it does in GPS satellite orbit. This corresponds to a relative error of 3.472*10^-10.

A Hydrogen atomic clock uses hydrogen atoms as a frequency medium. In gravity free space a hydrogen atom is externally neutral while the electron orbit is centered around the proton. In earth gravity a hydrogen atom is slightly elongated into a dipole where the center of the electron orbit is offset from the center of charge of the proton. This slows the frequency of the electron orbit. Knowing the Coulomb attraction force between proton and electron in a hydrogen atom, as well as the Coulomb dipole gravity between the hydrogen atom and earth we can calculate the expected orbital disturbance and associated orbital frequency reduction of the electron in the hydrogen atom while in earth gravity.

1. Hydrogen atom centering force:

This is the electrostatic attraction between the electron and the proton in the hydrogen atom according to Coulombs law.

F1 = K(e*e)/r^2

K = 8.99×109 N m2 C^-2

e = 1.60217662 × 10^-19 Coulombs

r = Bohr's radius = 5.29×10^-11 m

F1 = 4.357*10^20 N

2. Dipole gravity distraction force:

This calculates the net dipole elongation force acting on the hydrogen atom.

F2 = K(n*e*e)/L^2

K = 8.99×109 N m2 C^-2

e = 1.60217662 × 10^-19 Coulombs

n = The dipole mass of earth divided by the dipole mass of one proton = (5.972*10^24) / (1.673*10^-27)

L = The distance between the hydrogen atom and the integrated center of effort of the dipole mass in earth, which is is at the center of the earth = the radius of the earth = 6378*10^3 m

F2 = 1.468*10^11 N

Assuming a linear relationship between relative dipole elongation force and relative hydrogen clock frequency, the error in clock frequency at the surface of the earth caused by Coulomb dipole gravity should be:

F2 / F1 = (1.468*10^11)/(4.357*10^20) = 3.369*10^-10

The atomic clock error to be expected at ground level, calculated using the effects of Coulomb polarization corresponds within 0.103*10^-10 to observed values. The difference in the last decimal is most likely the result of approximating the electron orbital as circular when in reality it is slightly eliptical.

Other consequences of Coulomb dipole attraction 


Strong force

Strong force is the result of a multitude of competing Coulomb charge force vectors. These forces are both attracting and repelling and the distances between the participating charges vary, determining the strength of individual force vectors specific to each pair of interacting charges.

A Proton consists of a group of three quarks, two +2/3 up quarks and one -1/3 down quark. The proton charge is therefore +1. Protons consequently normally repel each other.

Links to strong force simulations:

Quark posturing, Coulomb interactions and strong force between neutrons and protons:



Quark posturing, Coulomb interactions and repulsion between protons:





Quark posturing, Coulomb interaction and attraction prior to transmutation and strong force:



Also see static figures below illustrating the concept of strong force repulsion, cross over point and strong force attraction:

Figure 5: Protons under repulsion.

Figure 6: Protons at the cross over point between repulsion and attraction.

Figure 7: Short reach strong coulomb force attraction

Figure 8: Neutron and proton under strong force

          Deuterium binding energy

As a third method to quantify the expected consequences of Coulomb polarization, computer simulations were performed to map the locations of all charges, distances between charges and the directions of all dipole axis in deuterium. All attracting and repelling Coulomb binding forces were then calculated. The compound of these forces is the net binding force holding the proton and the neutron together in a deuterium atom. This compound net binding force, also known as strong force, is a short reach force which upon forced separation between the proton and the neutron goes to zero before turning into a repelling force. Integrating the compound binding force over the distance between maximum strong force and the attraction/repulsion cross over point yields the total binding energy of deuterium.

The binding energy of deuterium calculated as described and illustrated above corresponds within 1% to published values. For the full calculation of this binding energy contact the author below.


Action at a distance can be used to describe both gravity, magnetism and entanglement. Gravity, magnetism and entanglement are all the result of Coulomb forces between charged particles. The main difference is the strength of the EM Coulomb link between them. While gravity and magnetism are caused by a Coulomb force between dipoles in neutral particles, entanglement is caused by the full Coulomb force between charged particles. Consequently the Coulomb force link between two entangled particles is 1:(9*10^19) = 1.111*10^18 times stronger than gravity. Take for example the case of two electrons from the same atom and thereby entangled by having become synchronized. Even when we separate these two electrons by a long distance, observations suggest that if we disturb one to change its spin direction, so does the other one though it is seemingly undisturbed and far away except for its strong Coulomb entanglement with its partner particle. 

Dipole 1996-2020

Bengt E Nyman