Realization of the Relationship between Quantum Mechanics and Relativity

In this section we will have the design of a central energy model based on the energy of the light E this model has three forms of energy: the energy of the mass E_m which is based deep on the mass m in relation with the wave function Ψ and the density density energy E_ρ which is based on the density ρ in relation to the wave function Ψ and the volume energy E _V which is based on the volume V in relation with the wave function Ψ . This approximation gives us access to the last very important paragraph in this research is the relationship between quantum mechanics and relativity

Realization of the relationship between quantum mechanics and relativity:

Relationship building for the model( E_m,E_ρ, E _V):

We have:

And we know that:

So:

• Model design( E_m,E_ρ, E _V):

• These results show that volume-related energyE _V is very large compared to the energy related to the mass energy E_m or density E_ρ which are identical.

We have:

so:

So we will have the new relationship:

So we have the density of matter is exist in two forms of energy: mass energy and energy density. In a global form of energy, which is the energy density, we have:

• This relation is the total stable energy equilibrium relation of matter or of a body; system; universe ... that has an energy E_m;E_ρ; E _Vquantum mechanics and relativity.

The final equation of the connection between relativity and quantum mechanics is:

We pose:

So we will have:

So the final equation is this:

• This equation Is the Link between relativity and quantum mechanics shows that energy

Is linked with the wave function Ψ according to density ρ in a volumic energy present E_V . This result is final for this link.

• Physical interpretation of the results exploited:

Energy is an exact correction of the classical light equation: E = mc2 ; the first equation shows that the photon, the light, the geo matter as the planets the galaxies, the stars the black holes all depend on the spatial time parameter F T ; and consequently, their energy produced depends on the matter of the mass and the speed of the light produced at the level of this body or this system means that the wave function Ψ is depends on quantum mechanics and e relativity at the same time it’s an essential parameter in the equation: 2 .

The density ρ and energy E_V represents the complex state of matter that has energy density E_V and a density ρ . This equation is a proper state of the presence of relativity and quantum mechanics at the same time in any system on the universe or far from the universe.

None.

No conflict of interest.

1. Ferrarese, Laura; Merritt, David (2000). “A fundamental relation between supermassive black holes and their host galaxies”. AstrophysicalJournalLetters. 539 (1):L9L12. arXiv:astroph/0006053 . Bibcode:2000ApJ...539L...9F. doi:10.1086/312838.
2. S. Lloyd, « Ultimate physical limits of computation », Nature, vol. 406, no 6799, 2000, p. 1047–1054 (PMID 10984064,DOI 10.1038/35023282, Bibcode 2000Natur.406.1047L, arXiv quant-ph/9908043)
3. Laura Merritt et David Merritt, « A fundamental relation between supermassive black holes and their host galaxies », Astrophysical Journal Letters, vol. 539, no 1, 2000, p. L9–L12 (DOI 10.1086/312838, Bibcode 2000ApJ...539L...9F,arXiv astro-ph/0006053)
4. The relative permeability and permittivity of field-theoretic vacuums is described in Kurt Gottfried; Victor Frederick Weisskopf (1986). Concepts of particle physics. Oxford University Press. p. 389. ISBN 0-19- 503393-0. and more recently in John F. Donoghue; Eugene Golowich; Barry R. Holstein (1994). Dynamics of the standard model. Cambridge University Press. p. 47. ISBN 0-521-47652-6. and also R. Keith Ellis;
5. 6.W. J. Stirling; B. R. Webber (2003). QCD and collider physics. Cambridge University Press. pp. 27–29. ISBN 0-521-54589-Returning to the vacuum of a relativistic field theory, we find that both paramagnetic and diamagnetic contributions are present. QCD vacuum is paramagnetic, while QED vacuum is diamagnetic.
6. See Carlos A. Bertulani (2007). Nuclear physics in a nutshell. Princeton University Press. p. 26. ISBN 0-691-12505-8.