E=m·c²

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DERIVATION OF THE E = m · c² FORMULA BY THE FORMULA OF DOPPLER EFFECT ONLY

The Doppler effect is sufficient for derivation of the E = m · c². The derivation is based on the following formula. The linear approximation of the formula (6) is given by the expression below:

(1)

Differentiation on v yields:

(2)

The mass can be described as derivation of momentum on v:

(3)

There is a linear connection between the mass and momentum of the light particle:

(4)

Thus we obtain:

(5)

Regarding the (3) we have finally:

(6)

⇒

(7)

The derivation is optimized by the narrative derivation discussed by the Albert Einstein. The Doppler relativistic theory was the predecessor of the Einstein theory. All philosophical descriptions are removed regarding my presumption that the consequential chain of affirmed equations best describes the theory. We can feel that the derivation is not completely clear because there is not m₀ in formula (7) but just m and thus the nature of E₀ isn't also completely clear too.

Author of this article and all its formulas is Andrija S. Radović, © Andrija Radović, all rights reserved. The parts or all the article can not be published without author's prior agreement and without author's name below text.

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