9. Conclusion

The weak force is needed to hold permanent performance of the "space-time frame of elementary grain" of the matter in discrete mode within minimum space frame. The conservation of matter "grain" in the form of proton cannot hold continuous symmetry, while in this case there

The discrete performance of three particles frame Eap = 2Es explains why there are three families of quarks. For generation of discrete stable performance of an n-p pair the energy flux to space-time frame of baryon quarks needs to meet the condition Eap = 2Es. The baryon alone is not stable therefore cannot be the fundamental matter: the two nucleons are coupled with the meson field TB (top-antibottom) to form three flavor structure of space-time frame Eap = 2Es. In this case, the n-p frame holds discrete symmetry with high frequency and n-p transforma-

The non-uniform conservation concept explains "mass gap problem" of Yang-Mills theory [36], which states "quantum particles have positive mass with regard to the vacuum state." The positive Eigen value of (Eap Es)/E<sup>s</sup> exchange interactions shows that "quantum" particle has a positive mass in relation to the vacuum while translation of time phase vacuum energy to the space-time frame generates positive Eigen value (Eap Es)/E<sup>s</sup> and positive mass. Conversion of mass to energy produces energy with negative sign and this process does not response

Description of the energy flux of model (6) in the form Eigen value (Eap/E<sup>s</sup> Es/Es) involves two terms: the term Eap/E<sup>s</sup> describes performance of charged particles through electromagnetic flux of energy, while Es/E<sup>s</sup> involves neutral particles—neutrinos which have self-coupling

Recently, due to the dark energy phenomenon of Universe, the subject of energy conservation got more attention. For example, Ref. [37] suggest that without dark energy and dark matter, Einstein's

In accordance with the non-uniform energy conservation concept, we may give specification of ordinary and dark energy. The dark energy generated due to the non-invariant translation of ordinary energy to the virtual space-time frame. Ordinary matter exists when there is spacetime frame; but when space-time frame decays, it disappears with the decay of space-time frame of ordinary matter. Dark matter is not a baryonic matter and has no non-virtual space-

The non-uniform phenomenon of energy conservation and non-invariant weak interaction are the necessary laws of nature to give different shapes to the different events: without nonuniform conservation of energy and non-invariant exchange interaction, the events would

In accordance with model (5), both energy and matter to be observable should have space-time frame. In the background, energy and space-time are not observable. On this basis, the non-

Thus, the space and time are the products of non-uniform energy conservation and in reverse order, energy and mass identities are the inner products of space-time discrete dynamics. This concept completely changes our views on the fundamental interactions and symmetrical laws

gravitational field equations should not hold conservation of energy-momentum relation.

time frame. Matter may have observance when it has non-virtual space-time frame.

form a non-separable dark matter without any shape and structure.

observable time phase energy has features of dark energy.

cannot be conservation of energy.

178 Advanced Technologies of Quantum Key Distribution

to the change of time.

tion event which "after the change looks the same" (8).

performance and do not experience effect of forces.

We replaced two pieces of conservation laws, comprising conservation of energy as uniformity in time and conservation of momentum as uniformity in space by the new conservation concept suggesting non-uniform conservation of energy within discrete space-time frame. We replaced particles concept of classic physics and wave equation of quantum physics by the boundary mapped discrete space-time frame, which carries the non-uniform conservation of energy. Uniform manifestation of energy in time and uniform manifestation of momentum in space is not possible within space-time frame, which carries energy conservation within the non-uniform framework.

Therefore, the energy-mass equivalence, limitation of velocity with the speed of light, breaking of background symmetry all originate from the non-uniform conservation of energy. The background state of discrete space-time frame describes quantum level interactions through discrete transformation of space-time variables to each other with generation of discrete virtual particle-antiparticle pairs. Consumption of energy from the background field leads to the formation of the "grain" of the non-virtual space-time frame with generation of mass, energymomentum relation of general relativity and classic physics.

With the increase of energy portion consumed in space phase, it consumes more energy to continue its velocity that is why expansion of space is "accelerated," which is the result of nonuniform conservation of energy. Conservation of energy is accelerated which appears in the form of non-uniform distribution of energy within asymmetric space and time boundaries.

Our concept suggests that the laws of nature comprise simple deterministic formulation of space-time, which holds conservation of energy in a unique way through non-spontaneous background translations of space-time phases. The consumption of energy photons by the space-time matter with the expansion of space generates backup reaction, which becomes the origin of gravity.

Finally, discrete, non-invariant translation of asymmetric boundaries of space and time variables to each other for carrying energy portions is the deterministic mathematical beauty of energy conservation and discrete existence of nature.
