Authors: Jean Pierre Rukundo
A gravitational momentum space wavefunction and its inverse spacetime Fourier transformation are constructed from the classical particle Lagrangian. From non-relativistic metric, the momentum space wavefunction gives the Maxwell-Boltzmann distribution with gravity temperature relation and the spacetime wavefunction gives the Schrodinger equation with a harmonic oscillator potential, leading to the Gauss’s law for gravity with mass density gravity relation. From the special relativity metric, which is shown to set the temperature at about 7.64×10^-12 K and density at about 3.58×10^9 kgm^-3, the momentum space wavefunction gives a relativistic momentum distribution and the spacetime wavefunction gives the Dirac equation with a spacetime potential. Finally, the many identical particles wavefunctions are also constructed.
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