Extended Classical Mechanics (ECM) Photon-Speed Postulate: “c” as the Intrinsic Propagation Speed of the Planck Quantum hf—Independent of Special Relativity.

Soumendra Nath Thakur | ORCiD: 0000-0003-1871-7803 | Affiliation: Tagore’s Electronic Lab, India  | Email: postmasterenator@gmail.com

In the Extended Classical Mechanics (ECM) framework c appears exclusively as the propagation speed of the photon that carries the Planck quantum hf.  It is not imported from Lorentz transformations, time-dilation, or any kinematic assumption; it is simply the measured speed of light in vacuum that Planck himself used in 1899 to define his natural units.  The kinetic-energy law:

KEᴇᴄᴍ = (½ ΔMᴍ⁽ᵈᵉᴮʳᵒᵍˡᶦᵉ⁾+ ΔMᴍ⁽ᴾˡᵃⁿᶜᵏ⁾)c² = hf. 

Therefore couples the displaced-mass operator to the photon’s own speed, not to any frame-dependent velocity of a massive particle.  Since no γ-factor, simultaneity convention, or acceleration-free inertial frame is invoked.

Within ECM, c is the photon’s propagation speed—used only to convert between hf and its mass-equivalent—not a borrowed postulate from special relativity.