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We have always searched for ways to make a perpetual motion machine,one that uses zero point energy and yet we are surrounded by light made of photons. Photons travel for ever due to the fact that they are massless but perhaps they are able to some how use zero point energy for ever once started and can there for travel for ever due to a kind of symmetry interaction between the electric field of the electron with an electric field of it's mirror image or the positron and the interaction of the magnetic moment of an electron with that of the positron. What is special about the two is that the electric fields tend to attract or do nothing if facing in the same direction but in a mirror image they probably face in the same direction and so always attracting, while the magnetic fields tend to always repel when two particles are close together.
So if we consider both particles bond together by attraction at radius r or moving in a circle,Then perhaps there is a possibility that they attract at the speed of light and repel at the speed of light and so they never touch one another in a photon. The fast interaction of the electric and magnetic symmetries also shields it from all other electric and magnetic forces in vacuum creating a photon to have zero mass and yet we know that the photon does have mass as seen in gravitational lensing perhaps .
We can write the following equation for a photon.
E = hf = \frac{hc}{\lambda}
In this equation, E represents the energy of a photon, h is Planck's constant (approximately 6.626 x 10^-34 joule-seconds), f is the frequency of the photon, c is the speed of light (approximately 299,792,458 meters per second), and λ is the wavelength of the photon.
This equation shows the fundamental relationship between the energy, frequency, and wavelength of a photon. It is a cornerstone of quantum mechanics and is used to describe a wide range of phenomena, from the photoelectric effect to the emission spectra of atoms and molecules.
Now we can write a hypothetical mathematical equation that describes an electron's electric to magnetic moment with a mirror image of another electron's electric and magnetic moment.
The electric and magnetic moments of an electron are intimately related to its spin angular momentum. Specifically, the electron's spin angular momentum gives rise to its magnetic moment, while its charge distribution gives rise to it's electric moment. Therefore, a hypothetical equation that describes the electric and magnetic moments of two electrons with mirror image symmetry could involve their spin angular momentum and relative orientation:
\vec{\mu}_1 = -g_e \frac{e}{2m_e} \vec{s}_1
\vec{\mu}_2 = g_e \frac{e}{2m_e} \vec{s}_2
Here, \vec{\mu}_1 and \vec{\mu}_2 represent the magnetic moments of the two electrons, \vec{s}_1 and \vec{s}_2 represent their spin angular momentum, e is the charge of the electron, m_e is its mass, and g_e is the electron's g-factor, which describes it's response to an external magnetic field. Note that the minus sign in the equation for \vec{\mu}_1 reflects the mirror image symmetry, indicating that the direction of the magnetic moment is opposite to that of the other electron.
The mirror image of an electron is a positron so a mathematical equation describing the interaction of an electron's electric and magnetic moments with a positron's electric and magnetic moment in a situation where they are moving at a high velocity v around a tiny sphere of radius r using the equations of electromagnetism and quantum mechanics. Here is a hypothetical equation that describes the interaction of an electron and a positron, both with electric and magnetic moments, moving at a high velocity v around a tiny sphere of radius r:
F = \frac{1}{4\pi\epsilon_0} \frac{q_e^2}{r^2} \left(\frac{1}{c^2} \frac{\partial \vec{P}}{\partial t} \times \vec{B} - \vec{\nabla} \cdot (\vec{P} \times \vec{E})\right)
In this equation, F represents the force between the electron and positron, \epsilon_0 is the electric constant, q_e is the charge of the electron, c is the speed of light, \vec{P} is the electric dipole moment of the electron and positron, \vec{B} is the magnetic field at the location of the dipole moment, and \vec{E} is the electric field at the location of the dipole moment.
The first term in the equation describes the interaction between the changing electric dipole moment of the electron and positron and the magnetic field. This term arises from the time-varying magnetic field produced by the moving charges, which in turn induces a time-varying electric field. The second term describes the interaction between the electric dipole moment and the electric field. This term arises from the interaction of the charges with the electric field produced by their motion.
It is worth noting that this equation is a simplified model and does not take into account many important factors, such as the relativistic effects that arise from the high velocity of the charges, the quantum mechanical effects that arise from the particle-wave nature of electrons and positrons, and the many-body interactions that arise from the presence of other particles in the system. Therefore, it should be interpreted as a conceptual framework rather than a precise quantitative prediction.
We can also write a similar equation for a muon and an antimuon and point out any differences in similar circumstances.
The equation similar to the one above for electrons and positrons, but this time for muons and antimuons instead:
F = \frac{1}{4\pi\epsilon_0} \frac{q_\mu^2}{r^2} \left(\frac{1}{c^2} \frac{\partial \vec{P}}{\partial t} \times \vec{B} - \vec{\nabla} \cdot (\vec{P} \times \vec{E})\right)
In this equation, F represents the force between the muon and antimuon, \epsilon_0 is the electric constant, q_\mu is the charge of the muon, c is the speed of light, \vec{P} is the electric dipole moment of the muon and antimuon, \vec{B} is the magnetic field at the location of the dipole moment, and \vec{E} is the electric field at the location of the dipole moment.
The main difference between this equation and the previous one is the value of q_\mu, the charge of the muon. While electrons have a charge of -1 and positrons have a charge of +1, muons too have a charge of -1 and antimuons have a charge of +1.
The important difference between muons and electrons is their mass. Muons are much heavier than electrons, with a mass of approximately 207 times that of an electron. This means that they are much less affected by relativistic effects and can travel farther before decaying. However, the equations for the interaction of their electric and magnetic moments are otherwise similar.
Thus even though the above is a hypothetical mathematical relationship,it non the less allows to think beyond what could be that we are describing today as a photon and could definitely help us with many technologies like anti-gravity, perpetual motion machines that can replicate the photon's symmetry and much more. I leave the reader to judge for themselves and make any corrections or additional thoughts on the above subject.
Written by Kasule Francis .
Image of an atom with electron shells.
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