Paper T2: Real-Valued Wavefunctions from Triadic Coherence in Holosphere Theory

Quantum mechanics traditionally models phase evolution and interference using complexvalued wavefunctions and the imaginary unit i. In this paper, we reformulate the wavefunction using only real-valued angular coherence within a discrete triadic lattice of spinning Holospheres.[6] Phase shifts are replaced by physically meaningful angular rotation operators, and probability density emerges from coherent strain energy rather than abstract amplitude norms. We derive a real-valued Schr¨odinger-like framework, show how tunneling, interference, and measurement arise from triadic strain alignment, and compare predictions with standard quantum mechanics. While results match known quantum behavior in low-energy regimes, Holosphere Theory offers new testable predictions—including sharp tunneling cutoffs and coherence thresholds—that could be verified using STM, Josephson junctions, and cold atom experiments.