Discovery of a Substantial Mathematical and Physical Error in Albert Einstein's Paper 1904 Entitled ``On The General Molecular Theory of Heat'' and Calculating the New Order of Magnitude of the Radiation Wavelengths (black-body radiation)

ORAL

Abstract

I have recently discovered a mathematical error in Albert Einstein's derivation [Einstein 1904] $\sqrt[3]{v}=2(\frac{\sqrt[3]{k}}{\sqrt[3]{c}})\frac{1}{T}.$ Einstein's prediction (0.420/T) for the order of magnitude $\lambda { }_{m}$is incorrect. I have derived the correct form of equation 28, and calculated the new value for the order of magnitude of the radiation wavelengths as (0.263/T). This new value is based on the solution of the first order differential equation, $\int {\frac{d\overline E }{\left( {\overline E } \right)^{2}}} (2k)=\int {\frac{dT}{T^{2}}} $. Einstein's has also made a physical error by not applying the correct laws of physics. Correcting this mathematical error shows that Einstein's prediction is more accurate than he thought during his life time.\\ \\I would like to express my appreciation to Dr Stefan Hildebrandt, Editor-in-Chief of Annalen der Physik for his very useful comments via e-mail. I also would like to express my gratitude to Professor Lyman Page, Chair of the Department of Physics at Princeton University, Professor David J. Gross, Nobel Laureate in Physics and Vice President of the American Physical Society, and Professor Homer Neal, former President of the American Physical Society and Professor of Physics at University of Michigan for their time and helpful oral suggestions.

Authors

  • M. Khoshnevisan

    Ajman University