Relativistic Mass and Energy Equivalence: Energetic Form of Relativistic Mass in Special Relativity

EasyChair Preprint 11817

Abstract

This exploration delves into the captivating realm of special relativity, unravelling the intricate relationship between mass and energy. The foundational equation E = m₀c² establishes the inherent link between rest mass (m₀) and energy. Building upon this, the introduction of relativistic mass (m′) as an equivalent to an effective mass (mᵉᶠᶠ) sheds light on the dynamic nature of mass in motion. The relativistic mass equation m′ = m₀/√{1 - (v²/c²)} - m₀ showcases the effects of velocity on mass, with m′ emerging as an energetic entity in the equation E = m′c². A practical example featuring an "effective mass" of 0.001 kg vividly illustrates the real-world implications, resulting in an actual energy value of 9 × 10¹³ J. This exploration not only deepens our understanding of mass-energy equivalence in special relativity but also prompts a paradigm shift, encouraging us to perceive mass as a dynamic and energetic entity responsive to the relativistic effects of motion.

Keyphrases: Energy Equivalence, Lorentz Factor, Mass-Energy Interplay, Relativistic Energy, Relativistic Mass, effective mass, special relativity

@booklet{EasyChair:11817,
  author    = {Soumendra Nath Thakur},
  title     = {Relativistic Mass and Energy Equivalence: Energetic Form of Relativistic Mass in Special Relativity},
  howpublished = {EasyChair Preprint 11817},
  year      = {EasyChair, 2024}}