Geometric Algebra: Natural Language of both Quantum Mechanics and Gravitation

In geometric representation of Clifford algebra, vacuum wavefunction is comprised of components of 3D Pauli algebra of space - 1 scalar, 3 vectors, 3 bivectors area elements, and 1 trivector volume. Various combinations of the four fundamental constants that define the QED coupling constant α permit assigning geometrically and topologically appropriate electric and magnetic flux quanta to the eight vacuum wavefunction components, and calculating quantum impedance networks of wavefunction interactions, the S-matrix of observables. Impedance matching governs amplitude and phase of energy flow. This presentlation will show application of the method to the Hydrogen atom, unstable particle spectrum, event horizon at the Planck length, and boundary of the observable universe.