
This book gives an analysis of Hertz's posthumously published Principles of Mechanics in its philosophical, physical and mathematical context. In a period of heated debates about the true foundation of physical sciences, Hertz's book was conceived and highly regarded as an original and rigorous foundation for a mechanistic research program. Insisting that a law-like account of nature would require hypothetical unobservables, Hertz viewed physical theories as (mental) images of the world rather than the true design behind the phenomena. This paved the way for the modern conception of a model. Rejecting the concept of force as a coherent basic notion of physics he built his mechanics on hidden masses (the ether) and rigid connections, and formulated it as a new differential geometric language. Recently many philosophers have studied Hertz's image theory and historians of physics have discussed his forceless mechanics. The present book shows how these aspects, as well as the hitherto overlooked mathematical aspects, form an integrated whole which is closely connected to the mechanistic world view of the time and which is a natural continuation of Hertz's earlier research on electromagnetism. Therefore it is also a case study of the strong interactions between philosophy, physics and mathematics. Moreover, the book presents an analysis of the genesis of many of the central elements of Hertz's mechanics based on his manuscripts and drafts. Hertz's research program was cut short by the advent of relativity theory but its image theory influenced many philosophers as well as some physicists and mathematicians and its geometric form had a lasting influence on advanced expositions of mechanics.
*This book investigates the philosophical, physical, and mathematical foundations of Heinrich Hertz's posthumously published Principles of Mechanics to determine its role in the evolution of the mechanistic research program.* Jesper Lützen, a historian of science, utilizes Hertz's original manuscripts and drafts to reconstruct the genesis of his ideas. The author argues that Hertz's rejection of force as a fundamental concept in favor of hidden masses and rigid connections represents a critical shift toward modern modeling. By integrating Hertz's image theory with his differential geometric approach, Lützen demonstrates how these elements formed a cohesive, albeit short-lived, alternative to classical Newtonian mechanics.
What You Will Find
Scope Limits
Scholars and historians of physics recognize this work as a rigorous examination of the intersection between philosophy and mathematical physics. Readers frequently note the academic density of the prose, which is best suited for those with a background in the history of science or theoretical physics.
Page Count:
332
Publication Date:
2005-01-01
Publisher:
Oxford University Press
ISBN-10:
0191524344
ISBN-13:
9780191524349
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