The equation E=mc^2, where E represents energy, m represents mass, and c represents the speed of light, is one of the most famous equations in physics and is often associated with Albert Einstein. While it is true that Einstein is widely credited with popularizing and exploring the implications of this equation, its origins and development involve contributions from multiple scientists.
The equation itself can be traced back to the work of several physicists, including Henri Poincaré and Olinto De Pretto, who derived similar expressions for the relationship between energy and mass. However, it was Albert Einstein who presented a comprehensive explanation and interpretation of this equation in his 1905 paper on the special theory of relativity. He recognized its significance and demonstrated its implications, leading to its widespread recognition and association with his name.
Regarding your specific mention of the Lorentz transform, the equation you describe, combining E=mv^2 with (1-v^2/c^2) in the denominator, is not accurate. The Lorentz transform, formulated by Hendrik Lorentz, is a mathematical framework that describes how time, length, and mass are affected by relative motion in the context of special relativity. The equation you refer to is not directly related to the derivation of E=mc^2.
In summary, while the equation E=mc^2 has roots in the work of multiple scientists, it was Albert Einstein who provided the comprehensive explanation and recognition of its significance. It is commonly associated with him due to his contributions to the development and understanding of the theory of relativity.