20 May 2025

E = mc² naturally and originally from Planck’s own 1900 equation?

May 20, 2025

The discussion revolves around the mass-energy equivalence relation E = mc² which, although famously attributed to Einstein in 1905, emerges more naturally and originally from Planck’s own 1900 equation:

E =h f

Through a detailed reformulation in Extended Classical Mechanics (ECM)—a framework developed to correct overlooked mass-energy dynamics in classical physics—I demonstrate how Planck’s energy-frequency equation can be extended to derive mass-energy equivalence for dynamic particles like photons, entirely without invoking relativity.

In ECM, photon energy is treated as pure kinetic energy derived from an effective (negative apparent) mass:

E = h f = ½ (−2Mᵃᵖᵖ) c² = (−Mᵃᵖᵖ) c²

Here, v=c for photons is used in the classical form ½mv², distinguishing this derivation from relativistic interpretations. The appearance of c² is thus purely kinematics, not relativistic.

This leads directly to the celebrated form E = mc², but grounded classically, and points to Planck—not Einstein—as the rightful conceptual originator. ECM’s presentation further separates itself from relativistic dependence, as its foundational logic was formulated between Newton and Planck’s era. ECM also critically revisits and refines concepts like negative effective mass, showing observational alignment with cosmological phenomena such as redshift and photon momentum.

I have compiled and released several formatted documents for peer engagement:

  • Reclaiming Planck’s Legacy: A Classical Derivation of E = mc² via ECM (Academia.edu)
  • Re-evaluating the Origin of E = mc²: A Classical Reformulation from ECM (ResearchGate)
  • Revisiting the True Origin of E = mc²: Is It Time to Acknowledge Planck Instead of Einstein? (LinkedIn)

A visual timeline and an equational summary are also available to clarify how Planck’s classical formulation leads to ECM’s mass-energy structure without the need for relativistic constructs like time dilation or spacetime curvature.

This post marks the beginning of a deeper public and academic conversation. I welcome your thoughts, critical insights, and historical perspectives on this long-overdue recognition of Max Planck’s role in one of physics’ most celebrated equations.

Warm regards,

Soumendra Nath Thakur
Researcher and Developer,
Extended Classical Mechanics (ECM)