Hi,

In a post in date of November 30 I find that the mass of ordinary matter  [latex]M_b[/latex], could be determinate with the constants of the relativity (abstract's data planck 2018 used and data Planck 2015 also) :

[latex] \Large {M_b = \frac{2c^2}{G\sqrt{\pi \Lambda} }}[/latex]

 

values here 1.1056*10^-52 m^-2 and here 1.46*10⁵³kg 

 

I know it's very surprising, we'll prefer to have the mass of dark matter in addition... You might think it's a coincidence.

However we can do this other calculation 

[latex](M_b/2)*G*\Lambda *1 kg/1m^2 = 5.34*10^{-10} \text{ Joules /m^3}[/latex] 

and it's the density of the cosmological constant.

 

The thing I can't remember from school it's : what mean in physics " [latex]1kg/1m^2[/latex]" in simples words 

Another thing seems to appear : it's a explaination (limited) in classical mechanics of a description of the universe

Thanks in advance for your answers

 

Edited December 8, 20187 yr by stephaneww

16 minutes ago, stephaneww said:

The thing I can't remember from school it's : what mean in physics " 1kg/1m2" in simples words 

1 Kilogram Per 1 Square Meter 

Edited December 8, 20187 yr by et pet

2 minutes ago, et pet said:

" Kilograms Per Square Meter "

That's his definition, but his sense physic here?

Edited December 8, 20187 yr by stephaneww

On ‎08‎/‎12‎/‎2018 at 2:41 PM, stephaneww said:

That's his definition, but his sense physic here?

To start let's look for the value of [latex]M_b[/latex] with wikipedia data :

[latex]\Large{M_b=\frac{2*299792458^2}{6.67408*10^{-11}* \sqrt{\pi*1.1056*10^{-52}}}}=1.445*10^{53}kg \text{ versus }1.46*10^{53}kg = \text{ data wikipedia}[/latex]

 

Then break down the formula 1 kg / m ^ 2 to find in step its physical sense :

[latex] a [/latex] is an acceleration.

[latex] a=(M_b/2)*G*\Lambda=(1.445*10^{53}/2)*6.67408*10^{-11}*1.1056*10^{-52}=5.3317*10^{-10}m/s^{-2}[/latex]

for a unit of mass M₁, the force is F=M₁*a = 5.3317*10^-10 N (1N= 1kg*1m/1s²)

per m² we have a pression p=F/m²=5.3317*10-10 N/m² (1N/m²= 1kg*1m^-1*1s^-2=1j/m³)

 

The density of the vacuum energy of the cosmological constant =

[latex]\Large{\rho_\Lambda*c^2=\frac{c^4 \Lambda}{8*\pi G}=\frac{299792458^4*1.1056*10^{-52}}{8*\pi*6.67408*10^{-11}}}=5.3241*10^{-10}J/m^3[/latex]

The difference is 0.15%

 

With data 2015 the difference is  0.13%

 

I don't know how to justify theses steps, but the accuracy of the numerical value is remarkable

I think it validates the definition of baryonic material mass from the relativity constants.


What is your opinion, please

 

 

 

Edited December 14, 20187 yr by stephaneww

Another remarkable relationship, about baryonic matter and factor 2, with correct dimensions this time with data mission Planck 2018  (table 2, page 15, last column):

1.in ΛCDM model :

radius universe observable : [latex]R=4,358*10^{26} m[/latex]

Hubble constant [latex]H_0=67.4km/s/Mpc=2.184*10^{-18}s^{-1}[/latex]

baryon density : [latex]\Omega_b=0.04936[/latex]

___________________________________

[latex]A=R^2*H_0^2*\Omega_b=(4,358*10^{26})^2*(2.184*10^{-18})^2*0.04936=4,4727*10^{16} m^2 s^{-2}[/latex]                                =

2. in quantum mechanics :

[latex]B=l_p^2/t_p^2=c^2=8.988*10^{16}m^2 s^{-2}[/latex]

___________________________________

[latex]B/A*2=1.005[/latex]

the difference is 0.5%

There could be something important with factor 2 on the mass of baryonic matter

 

note: I began by calculating the surface of a sphere of radius R and the surface of a Planck sphere; this shows the factor 8pi in relativity

 

 

 

Edited December 25, 20187 yr by stephaneww

The numerics values that  I give in the last post aren't exactly from the data Planck mission 2018. With the numerics value from data Planck mission 2018, the difference is always 0.5%

Edited December 26, 20186 yr by stephaneww