Uploaded October 2025 | Updated September 2026, 2 weeks ago
Radians, rooted in circular geometry, have long been the standard unit of angular measure in mathematics and physics. In this video, I argue that the cycle constitutes a more fundamental and generalized unit for describing waves, oscillators, and periodic phenomena. Here, I outline the axioms of a cycle-based system, reformulate key results, and highlight the conceptual and notational simplicity it brings to physics and engineering.
Here is a link to the document. Keep in mind that this is a work in progress and not a final product:
researchgate.net/publication/396563129_Cycles_as_the_Fundamental_Unit_of_Oscillation_A_Manifesto_for_a_Cycle-Based_System
Radians, rooted in circular geometry, have long been the standard unit of angular measure in mathematics and physics. In this video, I argue that the cycle constitutes a more fundamental and generalized unit for describing waves, oscillators, and periodic phenomena. Here, I outline the axioms of a cycle-based system, reformulate key results, and highlight the conceptual and notational simplicity it brings to physics and engineering.
Here is a link to the document. Keep in mind that this is a work in progress and not a final product:
researchgate.net/publication/396563129_Cycles_as_the_Fundamental_Unit_of_Oscillation_A_Manifesto_for_a_Cycle-Based_System
