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The book presents the results obtained by the author during a research period conducted throughout almost two decades. His purpose was to highlight some unknown relationships existing between universal phenomena by applying dimensional analysis - a less used method for research in this field. All the relationships obtained have as a benchmark the speed of light, so a space-time relation. The results show that between the universal phenomena there are relationships based on the numbers pi or phi (phi- golden number). These relationships can be used as a nonconventional and additional tool for highlighting more subtle connections existing between fundamental phenomena and in some cases for establishing more exact value for the fundamental constants. These relationships are becoming increasingly interesting as the fundamental constants will be measured more and more precisely. It is considered that the subject approached in the book is very topical and the results might raise the interest of some of those who have concerns on space-time relationship, gravity, quantum mechanics, subatomic structure, cosmology, philosophy of science etc.