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The most common "proof" of existence of mass, such as inertia, gravity and space-time curvature may therefore just be observed properties of a more fundamental phenomenon. In fact mass itself might just be an observed derivative property as such, and may not deserve a primary measuring unit (gram).
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The electron and the positron
Both of them have the same mass, the same spin and the same amount of energy - 0.5MeV.
The only difference is the charge. The electron is negative, the positron (the anti particle of the electron) is positive.
Bring the two of them together and they annihilate each other resulting in two photons, each of 0.5MeV.
Every other property that distinguished the electron from other particles has gone. Likewise with the positron.
The simplest way to view this is that mass, spin and charge are all properties of the energy that went into making up each of the particles. The mass and spin would have had the same values, so would not have cancelled each other out.
The charge, on the other hand, was opposite and could have cancelled out the other.
This seems to imply a hierarchy to the properties of the particles.
1. Energy
2. Configuration of the energy - charge
3. The properties relating to the configuration - mass
Without some form of configuration of the energy, there can be no mass - the photon. Once the energy has some form of configuration it becomes a system, comprising of more than just its component energy.