Discrete Motion at Quantized Velocities

ABSTRACT

Motion is perhaps the most consequential phenomenon in physics. Therefore, a poor understanding of the nature of motion must ultimately lead to intractable problems in physics. In this paper, we set out to illuminate the nature of motion: we argue that a moving body propagates by discrete motion based on a binary set of velocities S = {c, 0}, where c is the velocity of light. Basing on this model of discrete motion, I argue that matter must be capable of existence in two states: a state capable of attaining velocity c and a state capable of nil velocity. This duality of state is therefore a necessary condition for motion. I further propose that the smallest interval for discrete motion is equal to the de Broglie wavelength and that the velocity of a particle over this interval is equal to zero at the edges of the interval and equal to c within the interval, both velocities being attained in a quantum leap. Equations are proposed for time spent in motion and time spent while stationary in this interval. I argue that it is the time spent while stationary that accounts for all subluminal velocities and it is this very duration of time that was first formally noted in Zeno’s paradox of the arrow. In the discussion section, we explore the implications of this position. The paper ends with a conclusion and a recommendation for further inquiry.

Key words: Discrete motion, quantized velocity, state duality, Zeno’s arrow paradox

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