Phenomenological Validation of String Theory via Quantum Impedance Networks of Wavefunction Interactions

Mass is quantized. All rest mass particles have easily calculated Quantum Impedance Networks (QINs) of wavefunction interactions, easily converted to QED. Conversion units are (m/coul)², inverse square of the string line charge density. This is important. Impedance matching governs amplitude and phase of energy flow, of information transmission. The concept has been lost in quantum physics.

Interactions are modeled by dimension-changing geometric Clifford products, sum of dot and wedge products. Product of two 1D vectors is 0D scalar and 2D bivector, WZ = Higgs + top, a minimally complete 2D Clifford algebra - 1 scalar, 2 vectors, and 1 bivector (1,2,1). Minimally complete 3D Clifford algebra vacuum wavefunction is 1 scalar, 3 vectors (orientations), 3 bivectors, and 1 trivector (1,3,3,1), the same at all scales.

Combinations of constants defining α = e²/2ε₀hc permit assigning geometrically and topologically appropriate electric and magnetic flux quanta to wavefunction components, increasing degrees of freedom from 8 to 10 of physically manifested strings, and calculation of string QINs, the 6D phase space, three each space and corresponding phase. Time emerges from interactions, the integral of phase, generating the 4D S-matrix of observables in flat Minkowski spacetime.

Different physics at different scales arises from scale to which flux quanta are confined by reflections from impedance mismatches. We present data at all scales, Planck to cosmological, that connects string theory with experiment.