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DERIVATION OF THE **E = m · c ^{2}**

The Doppler effect is sufficient for derivation of the
**E = m · c ^{2}**

(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 **m _{0}** in formula (7) but just m and thus the nature of

Author of this article and all
its formulas is Andrija S. Radovic´,

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Author:

Dipl.
Ing. Andrija S. Radović

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