## 435(6): Rules for Quantization in m Space

435(6): Rules for Quantization in m Space

I arrived at Note 435(6) using the same transformation rules throughout. In all occurrences r is replaced by r / m(r) power half and t is replaced by m(r) power half t. It follows that psi (r, t) of Eq. (4) is replaced by psi(r, t) of Eq. (5). The quantization rules remain the same, because the frame (r, phi) is the same. The state of the particle is completely described by its wavefunction, so I decided to start the analysis with the wavefunction, and to replace r by r / m(r) power half and t by m(r) power half t inside the wavefunction. This gives Eq. (5), in which psi is a function of r and t. So the quantization rules are Eq. (2) and (3) because they are defined in frame (r, t) and psi is defined in terms of r and t. This procedure leads to the modified Planck quantization (10), which uses the expectation value of m power half computed self consistently with the wavefunction (5). This leads self consistently to Eq. (15), which is an equation for the quantized m(r) power half. This philosophy is based on the fundamental role of the wavefunction. The Born normalization remains the same. Since all this is completely new to physics, there is no precedent, so any self consistent procedure can be used. As usual, experiments must decide whether the results are acceptable or not.