Series Paper — QM-Line
Quantum Mechanics Series
QM-5: Quantum Mechanics in CPP: Emergent Quantum Field Theory, Second Quantization, and Finite Renormalization from the 600-Cell Lattice
QFT from 600-cell collective modes with a Planck-scale UV cutoff that renders every loop integral finite
Abstract: QM-5 derives quantum field theory in Conscious Point Physics from the collective excitation modes of complex phase-carrying DI bits on the 600-cell lattice. The DI-bit amplitude is expanded in the 120 orthonormal eigenmodes of the 600-cell adjacency matrix, yielding standard field operators built from creation/annihilation operators with bosonic commutation relations that follow from eigenmode orthonormality. Fermions arise from charged CP aggregates obeying the CP exclusion principle (one per Grid Point) and bosons from neutral DI-bit modes. The Planck-scale lattice provides a physical UV cutoff k_max = pi/l_P, rendering every loop integral finite; the electron self-energy is large but finite, and the hierarchy problem becomes a well-defined finite fine-tuning problem rather than an infinite renormalization. The 600-cell has exactly six distinct eigenvalues (golden-ratio multiples), mapping suggestively to three Standard Model generations as an open problem.
- Bosonic commutators from 600-cell eigenmode orthonormality
- Planck-scale UV cutoff: every loop integral finite
- Hierarchy problem reframed as finite fine-tuning