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<p>In this paper, we study and analyze the impact of the minimal length on the motion of a classical particle in a uniform gravitational field. The particle moves faster for the existence of the length. The maximum height attained by the particle thrown vertically upward from the earth’s surface is different from the conventional result with a correction term involving the deformation parameter for minimal length along with the initial momentum and mass of the particle. The time of flight and ascent are found the same as in conventional classical mechanics.</p>

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Classical Dynamical Consequences of the Particle in a Uniform Gravitational Field due to Minimal Length

  • 期刊论文

  • 发表日期：

    2025年1月24日

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  • Md Moniruzzaman,
  • Md Shariful Alam,
  • Rivu Ranjan Mondal

摘要

In this paper, we study and analyze the impact of the minimal length on the motion of a classical particle in a uniform gravitational field. The particle moves faster for the existence of the length. The maximum height attained by the particle thrown vertically upward from the earth’s surface is different from the conventional result with a correction term involving the deformation parameter for minimal length along with the initial momentum and mass of the particle. The time of flight and ascent are found the same as in conventional classical mechanics.