International Journal of Physics
Volume 8, 2020 - Issue 4
Website: https://www.sciepub.com/journal/ijp

ISSN(Print): 2333-4568
ISSN(Online): 2333-4576

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Research Article

Open Access Peer-reviewed

José Luís Pereira Rebelo Fernandes^{ }

Received September 21, 2020; Revised October 23, 2020; Accepted October 30, 2020

After learning that ρ (Universal Density of Potential Energy), varies from one place to another, causing a change in the time measured in the clocks, inversely proportional to the square root of the value of ρ, Ref. [1], and that in expanding universe, locally, Universal Density of Potential Energy will decrease in the inverse proportion of that expansion. This decrease increases the G value indicating that the less the Universal Density of Potential Energy, the better the gravitational radiation occurs, thus causing its increase in the direct proportion of the expansion of the Universe, Ref. [1]. Following the same principle, the Magnetic Permeability of the Vacuum should also increase, allowing a better propagation of electromagnetic waves. The increase in this permeability will allow greater action by the nuclei of the atoms on the electrons. Applying the expression of the atomic ray through quantum mechanics, we conclude that the size of the atoms will decrease with the expansion of the Universe, that is, it will vary in the inverse proportion of that expansion. This finding also implies that the stars are shrinking, which requires a New approach to the removal of the Moon from the Earth. The age of the Universe. Hubble Constant, Ref. [1].

As we have already seen in the article The Universal Gravitational Variable ^{ 2}, the decrease of the Universal density of potential energy at local improves the transmission capacity of gravitational radiation through space.

In the same sense, this decrease of the energy density will also facilitate the transmission of electrical radiation in space.

We will then see what implications this will have at the level of atoms and the consequence at the level of matter.

Remember, the variation of G with the Universal density of Potential Energy.

- Time on our site

- Time on future site

(1.1) |

The permeability of vacuum.

Transformer, to

(2.1) |

(3.1) |

(4.1) |

Applying the expression for the calculation of the atomic radius and taking into account the Magnetic Permeability Variable of the Vacuum,

As:

(5.1) |

(6.1) |

(7.1) |

(8.1) |

The atomic radius of the matter is directly proportional to the local universal density of potential energy.

As is inversely proportional to the expansion of the Universe, as such the atomic rays will always tend to decrease.

(9.1) |

(10.1) |

Atendendo à relatividade:

(11.1) |

(12.1) |

(13.1) |

As the rays of atoms vary in the inverse proportion of ρ, then the celestial bodies that are made up of atoms then their rauos will also vary in the same proportion.

(1.2) |

In an expanding universe, the universal potential energy density will decrease, so the atomic radius will decrease which will cause the stars are shrinking.

Our planet Earth is shrinking.

Our moon is shrinking

The Sun for this purpose without regard to mass loss, will shrink.

For example, the lengths of the same objects on the lunar surface will be lower than the same surface of the Earth

Two locals, a and b,

(2.2) |

We are going to study the two stars where humanity has been, directly or indirectly, Moon and Mars.

We will have:

- Mass of the Earth, 5,972E+24 Kg

- Mass of the Moon, 7,349E+22 Kg

- Radius of the Earth, 6 378 100 m

- Radius of the Moon, 1 737 400 m

= Actual distance between center of the Earth and center of theMoon, 385 000 600 meters.

(3.2) |

(4.2) |

(5.2) |

The meter measurement on the Moon will be 1.3051 nm less than on Earth.

(6.2) |

The time difference measured between a signal emitted on the Moon and received on Earth in the interval of 1 day, will be:

We will have:

- Earth's translation speed. 29789,45 m

- Earth's rotation speed lat 40º. 356,2 m

- Moon's translation speed. 1018,28 m

- Moon's rotation speed 4,60 m

(7.2) |

(8.2) |

(9.2) |

(10.2) |

The time difference measured on Earth for a signal emitted on the Moon with an interval of 1 day, will be given by:

(11.2) |

(12.2) |

We will have:

- Mass of theSun, 1,9891E+30 Kg

- Mass of the Earth, 5,972E+24 Kg

- Mass of the Mars, 7,349E+22 Kg

- Radius of the Earth, 6 378 100 m

- Radius of the Moon, 1 737 400 m

- Radius of the Moon, 2,27939E+11 m

- Radius of the Earth translation, 1.496x10^11 m

- Radius of the Moon, 2,27939E+11 m

(13.2) |

(14.2) |

(15.2) |

The meter measurement on the Moon will be 31,0369 nm less than on Earth.

(16.2) |

The time difference measured between a signal emitted on the Moon and received on Earth in the interval of 1 day, will be:

We will have:

- Earth's translation speed. 29789,45 m

- Earth's rotation speed lat 40º. 356,2 m

- Mars's translation speed. 24133,42 m

- Mars's rotation speed 242,37 m

(17.2) |

(18.2) |

(19.2) |

(20.2) |

The time difference measured on Earth for a signal emitted on the Moon with an interval of 1 day, will be given by:

(21.2) |

(22.2) |

Locally with the increase of G the centers of mass move away in proportion of the growth of the universe and with the increase of U the radius of the atoms vary in inverse proportion to that growth, will decrease, therefore all celestial bodies vary too in inverse proportion to that growth, will shrink.

The increase in G will stabilize our Universe. The same gravitational potentials will remain but the greatest distance from the generating mass of the field. The gravitational field will be increasing.

From our perspective we now have a clearer idea of the evolution of the universe.

The stars were created from large clouds formed by large atoms that with the passer of time were subject to a higher G due to the decrease of ρ, causing their contraction, increased pressure and temperature. The planets were formed within these protostars in places where the local gravitic potential was able to concentrate the original masses. If we look at the past we will have to imagine much larger and more fluid stars and planets. Within this line, perhaps we will shed light on the latest studies made on the earth's crust that indicate a Liquid Earth in the past of our planet. In the future the Earth will shrink and become more rigid.

When the universe was half the age that it is today, the Earth would have twice the diameter, 25512.4 km, the our Moon would have a diameter of 6949.6 km, the Sun would have a radius of 1392600 km. The Earth had an average density of 689.4 km / m3 much less dense than today's water. The Earth gravitated in an orbit to the Sun of 7.48x10^10 km and the Moon in an orbit to the Earth of 192500.3 Km).

We are convinced that the gravitational wave detector is nothing more than a detector for the variation of ρ (Universal density of potential energy).

As we saw earlier, ρ interferes with the size of atoms, therefore with the size of objects.

In the case of the detection of waves in the Ligo, it is two black holes with a mass of 29 and 36 solar masses located at a distance of 1.3 billion light years separated from 3000 km gravitating around each other. The impact of this movement on ρ is around ∓ 2.76x10 ^ -13 Kg / m which seems very low and difficult to detect.

On the other hand, the variation in the distance between Earth and the Sun in its annual translation movement causes a much greater variation of ρ, in the order of 4.45E + 17 kg / m between perihelion and aphelion, causing a variation of 6.60E -10 in the length of the objects. In the 4000 m of LIGO the variation should be in the order of 2640 nm.

The terrestrial equatorial diameter will vary between the periods considered above, of 8.42 mm.

There are values already known such as:

Dc - Actual distance between center of the Earth and center of theMoon, 385 000 600 meters.

Rt - Radius of the Earth, 6 378 100 m

Rl - Radius of the Moon, 1 737 400 m

D= 385 000 600-6 378 100-1 737 400

D= 376 885 100 meters

Dm - Aparent removal, actualy calculated, 3.820.07 cm per year.

d - Real annual average removal of the Moon.

- Value of the measure of the time of the light beam.

- Value of the measure of the time of the light beam, conseding the variation of time.

(1.3) |

Taking into account the shrinking of the Earth and the Moon, we will have:

(2.3) |

ρ is inversely proportional to the expansion of the Universe ^{ 1}", and this proportional to the increase in the radius of gravitation, we will have:

(3.3) |

(4.3) |

(5.3) |

The reading made will be conditioned by the contraction of time on the watch.

In the following year, the clock will mark more time. So it is necessary to take this into account and make the correction.

(6.3) |

(7.3) |

(8.3) |

Now we can calculate how many years it took the mass centers to move away as far as today.

(1.4) |

(2.4) |

This value is considered approximate until we can know if the measurements of the celestial bodies also change.

For the first time, we can evaluate the expansion of the Universe, from nearby and therefore more accurate medics.

We have the distance from the Earth to the Moon and the value of the moon's annual remoteness from the Earth. In order to obtain the equivalent value of Hubble constant, let's consider Megaparsec.

Mparsec = 3,0856775815*10^22 m

T-One year=365.256363 dias=31 558 150 seg

(1.5) |

(2.5) |

(3.5) |

As we saw earlier ^{ 2}, the masses belonging to a gravitational field move away from the mass that generates the field, in the same proportion of the expansion of the Universe.

- Annual increase in gravitational radius.

I-Age of the Universe

(1.6) |

Jupiter:

Io: 2.77 0,005 cm

Europa: 4,41 0,008 cm

Ganymede: 7,03 0,013 cm

Calisto: 12,37 0,023 cm

Sinope: 157,25 0,286 cm

Saturn:

Titan: 8,03 0,015 cm

We analyzed the increase in the gravity radius of the moons and not the increase in the distance to the planet, as this will depend on the changes caused on the planet by the increase in the G. The recently measured of 11 cm per year, to the departure of Saturn's Titan, published in Nature Astronomy, is much better than the previous one aimed at 0.1 cm a year.

Iapetus: 23,39 0,042 cm

Sun:

Earth 9,83 0,018 m

Mars: 14,97 0,028 m

Jupiter: 51,13 0,094 m

Milk Way:

Sun (26000 al) 10.80 ± 0,20u.a.

Within 585 539 years, the Sun will be away more 1 light year from the center of the Milky Way.

As we have already seen, in balanced gravitational fields, the centers of mass will move apart between them and the masses will shrink.

If we go back to the past, the process is reversed, the centers of mass will be much closer and the masses will be much larger. If we step back significantly we will see the moons plunge into their protoplanets and planets in the proto-star.

Will be:

- Current radius of the generating mass of the field.

- Radius of the mass belonging to the field

- Gravity radius.

On the date of abandon, the gravity radius must be equal to the sum of the radii of the two masses.

(1.7) |

(2.7) |

Although the sun is essentially a gas, we will consider that it maintains the plastic conditions as a result of this forecast. We will not take into account the loss of matter by radiation for now

Neptune - 192 598 796 years

Jupiter - 477 995 542 years

Mars- 843 299 049 years

Earth- 1 043 155 555 years

Mercury- 1 671 939 774 years

The respective radius, planet and proto Sun.

Neptune- 1 957 476 779m; Sun- 55 015 499 858m

Jupiter- 2 276 999 796m; Sun- 22 167 401 355m

Mars- 61 311 372m; Sun- 12 564 841 659m

Earth- 93 083 272m; Sun- 10 157 563 720m

Mercury- 22 214 942m; Sun- 6 337 500 422m

Moon- 2 210 325 983 years

Ganimedes- 4 006 179 467 years

Io- 6 347 746 391years

The respective radius, moons and proto Planets.

Moon- 11 966 658m; Earth- 43 930 322 m

Ganimedes- 9 998 154m; Jupiter- 271 679 230m

Io- 4 368 567m; Jupiter- 171 461 757m

One of the consequences of the contraction of time and the expansion of the universe is the delay in the Earth's translation period.

- -Distance Sun/Earth - 1,496x10^11 m

- -Earth's translation speed - 29788,64 m/s

(1.8) |

(2.8) |

(3.8) |

(4.8) |

(5.8) |

(6.8) |

If we take into account the contraction of the Earth, we will have;

(7.8) |

(8.8) |

The value is practically the same since the variation of is 9.1347E-20.

One of the consequences of the contraction of time and the expansion of the universe is the delay in the Earth's translation period.

With an interval of one year, we will have:

- -Distance Moon/Earth - 385000600m

- -Moon's translation speed - 1022 m/s

(9.8) |

(10.8) |

(11.8) |

(12.8) |

(13.8) |

(14.8) |

If we take into account the contraction of the Earth, we will have;

(15.8) |

(16.8) |

(17.8) |

One of the consequences of the contraction of time is the delay in the Earth's rotation period.

With an interval of one year, we will have:

(18.8) |

(19.8) |

(20.8) |

The value is practically the same

The constant contraction of time on Earth will cause a change in the way we view the Universe through telescopes over time.

The constant contraction of time on Earth will cause a change in the way we look at the Universe and even the Earth itself.

(21.8) |

This new analysis gives a new vision about the universe and its evolution.

The decrease in the universal density of potential energy at the local, due to the expansion of the universe will allow the increase of the gravitational variable G indicating a better gravitational radiation, as well as the increase in the magnetic permeability of the vacuum U indicates a better electromagnetic radiation.

The first, G, allows the stars belonging to a gravitational field to occupy orbits but away from the generating mass of that field in proportion to the increase in G, allowing to keep all gravitational fields in balance stable, and we can say that the part expands in the same proportion as the all Universal.

he second U when improving the electromagnetic radiation makes the electrons start to occupy atoms in more energetic orbits and that approach the nuclei causing the atoms to decrease in size, thus varying in the inverse proportion of the expansion of the universe.

Perhaps we now better understand the past of the universe.

This new celestial mechanics allows us to calculate the age of the universe and thus have a series of information hitherto unknown, such as the increase in the distance between the celestial bodies and the center of the gravitational field to which they belong.

We learned that atoms will decrease in size in the inverse proportion of universal expansion, and we can say that stars that are all made up of atoms will also decrease in size under the same rules.

The contraction of time in proportion to the square root of the expansion of the universe, will allow us to make the necessary corrections to correctly interpret the data measured over time from the Universe.

The decrease in the universal density of potential energy at the local, should have implications for all matter, whether at the level of stars, molecules, atoms and particles.

This contraction of the atoms and the increase in G should cause changes in the temperature and energy reduced by the stars.

The constant contraction of time on Earth will cause a change in the way we look at the Universe and even the Earth itself.

[1] | José Luís Pereira Rebelo Fernandes, The Real Removal of the Moon from the Earth. The Age of the Universe, International Journal of Physics. 2020, 8(3), 114-119. | ||

In article | |||

[2] | Lago, Teresa Descobrir o Universo, Gradiva, junho de 2006. | ||

In article | |||

[3] | Crawford, Paulo. «A Teoria da Relatividade e o 'Global Positioning System' (GPS)» (PDF). Universidade de Lisboa. Consultado em 18 de fevereiro de 2016. Cópia arquivada (PDF) em 5 de novembro de 2013. | ||

In article | |||

[4] | Selleri, F, Lessons of relativity, from Eisntein to the ether of Lorentz, Edições Duarte Reis e Franco Selleri, 2005, 227. | ||

In article | |||

[5] | Deus, J.D, Pimenta, M, Noronha,A, Peña, T and Brogueira, Introdução à Física, Introduction to Physics, Mc. Graw-Hill, 2000, 633. | ||

In article | |||

[6] | Eisberg, R, Resnick, , Quantum Physics of atoms, molecules, solids, nuclei, and particles, Elsevier, 1979, 928 | ||

In article | |||

[7] | N. Ashby, Relativity in the Global Positioning System, Living Rev. Relativity 6 (2003) | ||

In article | View Article PubMed | ||

[8] | Taylor, J.H., “Binary Pulsars and Relativistic Gravity”, Rev. Mod. Phys., 66, 711-719, (1994). | ||

In article | View Article | ||

[9] | J. Natário, General Relativity Without Calculus, Springer (2011). | ||

In article | View Article PubMed | ||

[10] | M.G.M. de Magalhães, D. Schiel, I.M. Guerrini e E. Marega Jr., Revista Brasileira de Ensino de Física 24, 97 (2002). | ||

In article | View Article | ||

[11] | E.C. Ricardo, J.F. Custódio e M.F. Rezende Jr., Revista Brasileira de Ensino de Física 29, 137 (2007). | ||

In article | View Article | ||

[12] | Measuring the Moon's Distance: Apollo Laser Ranging Experiments Yield Results https://eclipse.gsfc.nasa.gov/SEhelp/ApolloLaser.html. | ||

In article | |||

[13] | Lunar laser ranging: the millimeter challenge, T W Murphy, Rep. Prog. Phys.76 (2013). | ||

In article | View Article PubMed | ||

[14] | Lunar Geophysics, Geodesy, and Dynamics, James G. Williams and Jean O. Dickey, 2002 https://ilrs.cddis.eosdis.nasa.gov/docs/williams_lw13.pdf. | ||

In article | |||

Published with license by Science and Education Publishing, Copyright © 2020 José Luís Pereira Rebelo Fernandes

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit https://creativecommons.org/licenses/by/4.0/

José Luís Pereira Rebelo Fernandes. The Variation of the Atomic Radius with the Universal Density of Potential Energy. *International Journal of Physics*. Vol. 8, No. 4, 2020, pp 127-133. https://pubs.sciepub.com/ijp/8/4/3

Fernandes, José Luís Pereira Rebelo. "The Variation of the Atomic Radius with the Universal Density of Potential Energy." *International Journal of Physics* 8.4 (2020): 127-133.

Fernandes, J. L. P. R. (2020). The Variation of the Atomic Radius with the Universal Density of Potential Energy. *International Journal of Physics*, *8*(4), 127-133.

Fernandes, José Luís Pereira Rebelo. "The Variation of the Atomic Radius with the Universal Density of Potential Energy." *International Journal of Physics* 8, no. 4 (2020): 127-133.

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[1] | José Luís Pereira Rebelo Fernandes, The Real Removal of the Moon from the Earth. The Age of the Universe, International Journal of Physics. 2020, 8(3), 114-119. | ||

In article | |||

[2] | Lago, Teresa Descobrir o Universo, Gradiva, junho de 2006. | ||

In article | |||

[3] | Crawford, Paulo. «A Teoria da Relatividade e o 'Global Positioning System' (GPS)» (PDF). Universidade de Lisboa. Consultado em 18 de fevereiro de 2016. Cópia arquivada (PDF) em 5 de novembro de 2013. | ||

In article | |||

[4] | Selleri, F, Lessons of relativity, from Eisntein to the ether of Lorentz, Edições Duarte Reis e Franco Selleri, 2005, 227. | ||

In article | |||

[5] | Deus, J.D, Pimenta, M, Noronha,A, Peña, T and Brogueira, Introdução à Física, Introduction to Physics, Mc. Graw-Hill, 2000, 633. | ||

In article | |||

[6] | Eisberg, R, Resnick, , Quantum Physics of atoms, molecules, solids, nuclei, and particles, Elsevier, 1979, 928 | ||

In article | |||

[7] | N. Ashby, Relativity in the Global Positioning System, Living Rev. Relativity 6 (2003) | ||

In article | View Article PubMed | ||

[8] | Taylor, J.H., “Binary Pulsars and Relativistic Gravity”, Rev. Mod. Phys., 66, 711-719, (1994). | ||

In article | View Article | ||

[9] | J. Natário, General Relativity Without Calculus, Springer (2011). | ||

In article | View Article PubMed | ||

[10] | M.G.M. de Magalhães, D. Schiel, I.M. Guerrini e E. Marega Jr., Revista Brasileira de Ensino de Física 24, 97 (2002). | ||

In article | View Article | ||

[11] | E.C. Ricardo, J.F. Custódio e M.F. Rezende Jr., Revista Brasileira de Ensino de Física 29, 137 (2007). | ||

In article | View Article | ||

[12] | Measuring the Moon's Distance: Apollo Laser Ranging Experiments Yield Results https://eclipse.gsfc.nasa.gov/SEhelp/ApolloLaser.html. | ||

In article | |||

[13] | Lunar laser ranging: the millimeter challenge, T W Murphy, Rep. Prog. Phys.76 (2013). | ||

In article | View Article PubMed | ||

[14] | Lunar Geophysics, Geodesy, and Dynamics, James G. Williams and Jean O. Dickey, 2002 https://ilrs.cddis.eosdis.nasa.gov/docs/williams_lw13.pdf. | ||

In article | |||