History and Philosophy of Physics

   

A Genertial Framework Approach: Deriving Special Relativity and Quantum Mechanics from Newton’s Laws

Authors: Duje Bonacci

Newton’s three laws of motion have been the foundation of classical mechanics for centuries. However, they were formulated within the framework of absolute space and time, assuming a privileged reference frame. This assumption becomes problematic when considering relativistic and quantum effects, which suggest that space and time are not absolute but instead emerge from deeper physical principles.Newtonian mechanics breaks down in two major regimes:u2022 At high velocities, where relativistic corrections become necessary,u2022 At small scales, where quantum mechanics takes over.In this paper, we demonstrate that Newtonian mechanics can be naturally extended to encompass both relativity and quantum mechanics by reformulating its axioms within the framework of genertial frames—a novel approach in which forces propagate at finite speed, and time and space are measured locally by material objects equipped with proper tickers.We identify the key flaw in Newtonian mechanics: the assumption of instantaneous signal propagation, both in force interactions and in defining absolute time. By replacing these with finite-speed force propagation and local time-keeping, we derive:u2022 Relativity as a necessary consequence of finite-speed force transmission,u2022 Quantum mechanics as a stability condition imposed by finite-speed internal interactions.

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[v1] 2025-03-03 20:14:52

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