One part of such generalized equation corresponds to the Dirac's leptonic equation, and the other part corresponds to the Dirac's quark equation. The quark part of this equation is invariant under the oscillations of chromatic states.

And it turns out that these oscillations bend space-time so that at large distances the space expands with acceleration according to Hubble's law.

In 1998 observations of Type Ia supernovae suggested that the expansion of the universe is accelerating . In the past few years, these observations have been corroborated by several

independent sources . This expansion is defined by the Hubble rule

V (r) = Hr, (1)

where V (r) is the velocity of expansion on the distance r, H is the Hubble’s constant

(H ≈ 2.3 X 10

^{-18}c-

^{1}[4]).

It is known that Dirac’s equation contains four anticommutive complex 4 X 4 matrices. And this equation is not invariant under electroweak transformations. But it turns out that there is another such matrix anticommutive with all these four matrices.

'Oscillations of the Chromatic States and Accelerated Expansion of the Universe', PROGRESS IN PHYSICS April, 2010

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