## On Gravitational Quantum Wavefunctions

**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.

**Comments:** 5 Pages.

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### Submission history

[v1] 2018-01-15 06:32:05

[v2] 2018-01-17 09:47:25

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