Tracing Pulses at Logarithmic Intervals
Rather than evolving evenly, the universe unfolds in pulses—leaps of increasing complexity that reveal a hidden architecture beneath time’s surface. This two-volume work introduces a logarithmic model of emergence, tracing the evolution of complexity across both the astronomical and biological realms.
Volume I explores the cosmic unfolding of time through five major nodes—from primordial conditions to galaxies, rocky planets, the emergence of life, and the rise of symbiotic eukaryotic cells. At each node, transformation occurs not gradually, but in concentrated bursts. These events are not scattered randomly through time, but align at regular logarithmic intervals. In this framework, time itself becomes a structured terrain—where the improbable becomes expected, and the complex emerges from deep preparation.
Volume II traces the biological unfolding of life across ten major pulses over four billion years. Each evolutionary leap—at 4, 2, 1 billion years ago and beyond—ushers in new levels of organization: from the first cells to multicellular bodies, from locomotion to symbolic thought. Drawing from evolutionary biology, paleontology, and molecular genetics, the model offers a fresh synthesis: life evolves in rhythmic bursts, each preceded by a precursor period of uncertainty and followed by explicit realization.
Together, these volumes propose a unified temporal framework that links cosmic and biological evolution. They invite us to see pattern in deep time—and meaning in emergence.
The author holds degrees in philosophy and psychology, and has taught courses in history, Indigenous studies, and dream interpretation. He co-founded and taught at a progressive charter school that emphasized arts integration and scientific inquiry.
His early research identified and published a logarithmic patterning of time in biological and cultural evolution, revealing deep pulses of change across life's 4-billion-year history. That earlier work—Ten Pulses of Evolution—is included here in full and explores the rise of life, mobility, and symbolic consciousness through a mathematical and evolutionary lens.
Building on that foundation, this current volume extends his inquiry to the astronomical unfolding of time—from the birth of galaxies to the emergence of planetary life. By uniting both the cosmic and biological stories, he seeks to illuminate the larger unfolding of complexity that links matter and life, planet and organism, in a shared temporal rhythm.