This paper introduces a theoretical framework based on three-dimensional time, where the three temporal dimensions emerge from fundamental symmetry requirements. The necessity for exactly three temporal dimensions arises from observed quantum-classical-cosmological transitions that manifest at three distinct scales: Planck-scale quantum phenomena, inter- action-scale processes, and cosmological evolution. These temporal scales directly generate three particle generations through eigenvalue equations of the temporal metric, naturally explaining both the number of generations and their mass hierarchy. The framework intro- duces a metric structure with three temporal and three spatial dimensions, preserving cau- sality and unitarity while extending standard quantum mechanics and ¯eld theory. While earlier work explored three-dimensional time in Kaluza–Klein theory, this paper's approach provides speci¯c experimental predictions and a complete particle spectrum. This approach provides elegant solutions to long-standing problems in particle physics: the three-generation structure emerges naturally from temporal symmetries, weak interaction parity violation arises from geometric properties, and quantum gravity achieves ¯nite corrections without ultraviolet divergences. The framework accurately reproduces known particle masses, in- cluding the top quark (173:21 0:51 GeV, measured 173:2 0:9 GeV), muon (105:6583745 0:0000024 MeV, measured 105:6583755 0:0000023 MeV), and electron (0:5109989461 0:0000000031 MeV, measured 0:5109989461 0:0000000031 MeV). Building on this valida- tion, the theory makes precise quantitative predictions, including neutrino masses (3 : 0:058 0:004 eV, 2 : 0:0086 0:0003 eV), new resonances at M1 ¼ 2:3 0:4 TeV and M2 ¼ 4:1 0:6 TeV, and gravitational wave speed modi¯cations of v=c ¼ ð1:5 0:3Þ 1015. These signatures will be testable through next-generation collider experiments, gravitational wave observatories, and cosmological surveys in the 2025–2030 timeframe. Notably, General Relativity emerges as a natural limiting case when two temporal dimensions become negligible. The mathematical consistency and predictive power of this framework
https://dx.doi.org/10.1142/S2424942425500045