Decomposition of Big Bang (Big Bang Turbulence)

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{\overline{U}^{\mu}=\lim_{\tau\rightarrow\infty}({\frac{1}{\tau}}\int_{o}^{\tau}U^{\mu} d\tau)}

Where the \tau is proper time and \tau_{o}=0 is the beginning of the universe.

{U^{\mu}=\overline{U}^{\mu}+U'^{\mu}}

Estakhr’s decomposition is a mathematical technique to separate the average and fluctuating parts of Big Bang.

where the \overline{U}^{\mu} denotes the proper time average called steady component of big bang and U'^{\mu} is fluctuating part called Big Bang’s perturbations (Big Bang’s Turbulence).

Estakhr’s Proper-Time Averaged of Material-Geodesic Equations Using this mathematical technique, (applications: Big Bang Hydrodynamics, Supernova Hydrodynamics, etc…)

{\frac{D\overline{J}^{\mu}}{D\tau}=\overbrace{\overline{J}^{\nu}\partial_{\nu}\overline{U}^{\mu}+\partial_{\nu}\overline{T}^{\mu\nu}+\Gamma^{\mu}_{\alpha\beta}\overline{J}^{\alpha}\overline{U}^{\beta}}^{\text{Steady Component}}+\overbrace{\partial_{\nu}R^{\mu\nu}+\Gamma^{\mu}_{\alpha\beta}R^{\alpha\beta}}^{Perturbations}}

EAMG equations are proper time-averaged equations of relativistic motion for fluid flow and used to describe Relativistic Turbulent Flows (such as big bang eruption and/or supernova, etc …).

Estakhr’s Proper-Time Averaged of Material-Geodesic Equations is an umberella term equation for Relativistic Astrophysics, Relativistic Jets, Gamma-Ray Burst, Big Bang Hydrodynamics, Supernova Hydrodynamics, Galaxy Hydrodynamics, Black hole Jets…

Big Bang’s remnant is the fluid dynamical structure resulting from the Big Bang’s explosion and all galaxies in this unified structure are connected to form a continuum structure, So the mechanical behavior of Big Bang’s materials must be modeled as continuous mass rather than discrete galaxies. Continuum Astromechanics assumes that the substance of Big Bang’s materials completely fills the space it occupies.

 

Author: Mr. ESTAKHR, Ahmad reza

About easteinstein

I am a physicist with experience of thousands physicists.
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