The Role of Electrons in Quantum Gravity

The ratio of the gravitational force to the electric force in an electron is of the same order as the Planck time. A more precise value is found by constructing a model for the Planck particle in which the Planck mass is √2 larger than its conventional value and the Planck length is π / 2 larger than its corresponding Schwarzschild radius. Solving for the remaining difference of about 0.2% and the apparent dimensional mismatch gives an insight into the intimate structure of quantum gravity.