[en] The collaboration with late Prof. K. Sugimoto was begun in 1974 at Berkley on muon experiments. Since then, the author has been involved in the construction and utilization of the facilities at KEK booster, TRIUMPF-M9 muon channel, RIKEN RAL muon facility and J-PARC MUSE. In this note, however, only the matters related to the fundamental physics of nuclei and elementary particles are reviewed. In section (2), 'Binding effects of negative muons' are taken up and general properties of negative muons are summarized. Then, in 2.1) magnetic moment data in the groundbreaking years of the collaborative research and recent data, in 2.2) re-polarization of the muonic atoms, and in 2.3) decay electron spectra are described. In section (3) of 'Negative muon nuclear absorption reactions', two urgent problems of 3.1.1) preparation and applications of radioactive ⁹⁹Tc and 3.1.2) confirmation of the transmutation of the nuclear reactor waste are mentioned. In section (4) of 'Ultra-fine spectroscopic elementary particle physics of muon atomic levels', 4.1) laser spectroscopy of the negative muon hydrogen atoms, and 4.2) atomic spectroscopy of the positive muon antiproton atoms and CPT theorem are pointed out. In section (5) of 'Frontier measurements of muon fundamental physics', 5.1) ultra-low velocity positive muons and positive muon anomalous magnetic moment, and 5.2) ultra-low velocity highly polarized negative muons and negative muon anomalous magnetic moment are mentioned. In section (6) of 'Toward the new developments of the muon nuclear fusion', 6.1) Present status of research with two subsections and realization of the break even by strongly correlated muon catalyzed fusion, and 6.2) realization of break even by the strongly correlated muon catalyzed nuclear fusion are discussed. In section 7, other muon nuclear science, internal exploration and imaging radiography are picked up. Finally, three agenda are described not only for himself but for the coming generation. (S. Funahashi)