Dear Emmanuel,

A italian could say si non é vero e benne trovato. but whta makes you assume equilibrium?

Dear Emmanuel,

Your language is too complicated for me. I just don't understand what you're talking about. You explain the incomprehensible even more incomprehensible. But nature is perfect in its simplicity. Difficulties are only in our heads.

Do you play football? To score the ball into the goal you have to hit it hard outside. To send the moon to Earth, you must push it outside. That's all gravity!

Yours

Valeriy Pakulin

Not exactly. More like the component of our universe whose divergence is the gravitational force also can support electromagnetic effects. See STOE.

Valery, when something is not clearly understood, one cannot explain it simply. science knows how gravity works just do not konw why is that so.

Dear Vera,

I am so glad that biologists are interested why apples fall to Earth. If it is serious, then, please, look at the pictures in my book "Electromagnetic Gravity. Part 2" (in my profile). I wrote a book because I can tell you not only HOW, but also WHY. I tried to explain it simply and clearly. After all, who clearly thinks, he clearly expounds (Cicero). You can see my photon and electron animations on nice site http://gravity.spb.ru It is true, there are mostly comments in Russian.

Best

Valeriy Pakulin

I am sure it is a good book, but why you do not tell me in a few words the gist of it? Explaining to very ignorant person, just curious

Dear Vera,

Of course, I can tell You three basic ideas of electromagnetic gravity:

1. Mass does not have the inherent property of attracting other masses.

2. Bodies can be brought closer to each other only by external force.

3. The electromagnetic field is the medium that fills the entire space. The bodies carry out all interactions through the electromagnetic field environment.

Yours Valeriy

PS

You are convinced of the existence of an electromagnetic field as a medium (p. 3) each time you bring a mobile phone to your ear.

Dear Emmanoul,

Development is a struggle of opposites. Our views are opposite - and this is wonderful! You affirm the inherent property of particles to attract and repel. But I deny the presence of this property. I say that only external force can push particles to each other. Earth does not attract the moon. The moon is pressed to Earth by the pressure of the external electromagnetic field. The flow of electrons in the arc is laced up; the electromagnetic field pushes electrons to each other. The mechanism of attraction is the same for particles, planets or galaxies.

Yours

Valeriy Pakulin

Gravity is a quadratic effect of electrodynamics.

The proportionality of the masses is there, but the equivalence of the masses is an error.

Well done!Thank you very much.

No,,Electromagnetic forces are practically responsible for all aspects of everyday life except gravity .

Good old ether is back! let´s remember that it came about because waves had to have a propagation medium, no waves in vacuum. I also though that the new name was "dark matter""

Are you assuming conservation of energy Emmanuil?

Dear Emmanoul,

I thank you for your understanding. Finding a common language is the most difficult thing in communication. Did you really read my book?

I also agree with you in many ways:

1. The electromagnetic field fills the space. You can call it ether. The essence is important.

2. Electromagnetic gravity is not only attraction, but also repulsion, i.e. all interactions. We have for all objects - from a particle to a galaxy - a single mechanism of interaction initially.

Yours

Valeriy

Dear Artur,

I think that You are wrong about it...

Yours

Valeriy Pakulin

We will see a flash of light in 8 minutes. How to detect the gravitational effect. It is small in size. and we do not know which vonna (longitudinal, transverse, tensor) transfers gravitational perturbations.

Victor

The experiment has been done decades ago. See T. van Flandern's work.

These are light waves, but not gravitational.

The experiment examined the direction of light vs the direction of gravity. Is gravitational!

All basic fields, including the electromagnetic field and the field that represents our living space (the universe) obey the same set of quaternionic field equations. The two mentioned fields still differ fundamentally. They differ in their start and boundary conditions. The universe exist always and everywhere. The EM field relies on the nearby existence of electric charges. Elementary particles couple both fields. Electric charges reside on the geometric center of the platform on which elementary particles. Elementary particles are massive and constitute all other massive objects.

See: "Behavior of Basic Fields" and "Dark objects" in http://vixra.org/author/j_a_j_van_leunen

Dear Hans,

Could you give a definition of the field?

I do not know such a field "that represents our living space (the universe)". Why "obey" and not "describe"?

You write: "The EM field relies on the nearby existence of electric charges." I am afraid that you are wrong. Near particles there are EM field FLOWS only. This is the electric and magnetic fields. And the EM field is the medium that fills the whole space. Waves from radio galaxies and cosmic microwave radiation travel to us through the medium. It's time to recognize this fact. I did not understand at all, but what kind of matter consists of the charges themselves. Do not explain it to me?

Yours

Valeriy Pakulin

If you know the gravitation field and understand that it represents the deformation of the field that embeds all massive objects, then the embedding field is our living space. It exists always and everywhere.

In the mathematical model that applies quaternionic Hilbert spaces all fields are represented by corresponding eigenspaces of operators that reside in the quaternionic non-separable Hilbert space. Together with a flat field that represents the parameter space, the field is defined by a quaternionic function. Quaternionic differential calculus defines the behavior of the field and the interaction of the field with point-like actuators.

All basic fields obey the same quaternionic field equations. Different basic fields differ in their start and boundary conditions.

A suitable modeling platform is treated in https://www.researchgate.net/project/The-Hilbert-Book-Model-Project/update/5c5d76273843b0544e64cd0e

Quaternionic differential calculus applies the quaternionic nabla operator ∇. This calculus uses proper time τ, where Maxwell equations apply coordinate time t.

We use boldface to indicate vectors.

∇≡∇ᵣ+∇

∇≡{∂/∂x, ∂/∂y, ∂/∂z}

∇ᵣ≡∂/∂τ

In the quaternionic differential calculus differentiation is a multiplier operation:

c=cᵣ+c=a b≡(aᵣ+a)(bᵣ+b)=aᵣbᵣ−〈a,b〉+abᵣ+aᵣb±a×b

ϕ=ϕᵣ+ϕ=∇ψ≡(∇ᵣ+∇)(ψᵣ+ψ)=∇ᵣψᵣ−〈∇,ψ〉+∇ψᵣ+∇ᵣψ±∇×ψ

ϕᵣ=∇ᵣψᵣ−〈∇, ψ〉

ϕ=∇ψᵣ+∇ᵣ ψ ±∇×ψ

Double differentiation leads to the quaternionic second order differential equation:

ζ=∇*ϕ=(∇ᵣ−∇) (∇ᵣ+∇) (ψᵣ+ψ)= {∇ᵣ∇ᵣ+〈∇, ∇〉} (ψᵣ+ ψ)=ρᵣ+J

ζ={∇ᵣ∇ᵣ+〈∇, ∇〉} ψ

The equation can be split into two first-order partial differential equations ϕ=∇ψ and ζ=∇*ϕ

This equation offers no waves as its solutions. The quaternionic equivalent of the wave equation is:

φ= {∇ᵣ∇ᵣ−〈∇, ∇〉} ψ

The homogeneous version of this equation offers waves as its solution:

∇ᵣ∇ᵣ ψ=〈∇, ∇〉ψ =−ω² ψ

Corresponding Maxwell-like equations are:

E=−∇ψᵣ−∇ᵣψ

B=∇×ψ

ρᵣ=〈∇,E〉

J=∇×B−∇ᵣE

∇ᵣB=−∇×E

The corresponding second order differential equations are:

{∇ᵣ∇ᵣ −〈∇, ∇〉}ψ=J

{∇ᵣ∇ᵣ −〈∇, ∇〉}ψᵣ=ρᵣ

Solutions

The two second-order partial differential equations describe the behavior of dark objects.

φ=(∂²/∂τ²± 〈∇, ∇〉)ψ

A third equation skips the first term

φ= 〈∇, ∇〉ψ

This is the Poisson equation.

In fact, these equations are quaternionic differential equations. Thus, φ and ψ are quaternionic functions that own a scalar real part and an imaginary vector part. The solutions are quaternionic functions.

The equation using the − sign is the quaternionic equivalent of the wave equation. The equation using the + sign splits into two quaternionic first order partial differential equations. This second equation does not offer waves as solutions.

The dark objects behave as shock fronts and operate only as odd dimensional field excitations. During travel, all shock fronts keep the shape of the front.

One-dimensional shock fronts

The one-dimensional shock fronts also keep their amplitude. Consequently, the one-dimensional shock fronts can travel huge distances without losing their properties. Combined equidistantly in strings they represent the functionality of photons. This means that the one-dimensional shock fronts are the tiniest possible packages of pure energy.

Depending on the PDE the solutions can be described by different equations. The solution for the wave equation is

g(q ,τ)=f(c τ ± |q−qₒ|)

This solution cannot represent polarization.

The solution for the other equation is

g(q ,τ)=f(c τ ± |q−qₒ| )

The vector can indicate the polarization of the shock front.

A photon is a string of equidistant energy packages that obeys the Einstein-Planck relation

E = h ν.

Since photons possess polarization, they use the second solution for their energy packages. Thus, the constituents of photons are not solutions of the wave equation.

Green’s function

One of the solutions of the Poisson equation is the Green’s function

g(𝐪)=1/|𝐪−𝐪ₒ|

∇g(𝐪)=( 𝐪−𝐪ₒ)/|𝐪−𝐪ₒ|³

〈∇, ∇〉 g(𝐪)= 〈∇, ∇g(𝐪)〉=4πδ( 𝐪−𝐪ₒ)

Thus, the Green’s function is a static pulse response under purely isotropic conditions.

Three-dimensional shock front

The three-dimensional shock fronts require an isotropic trigger. These field excitations integrate over time into the Green's function of the field. That function has some volume, and the pulse response injects this volume into the field. Subsequently, the front spreads the volume over the field. The corresponding solution of the wave equation is

g(r ,τ)=f(c τ ± r)/r

The parameter r is the radius of the spherical front.

Thus, the initial deformation quickly fades away. but the expansion of the field stays. Having the capability to deform the carrier field corresponds to owning a corresponding amount of mass. This means that temporarily, the spherical pulse response owns some mass. This mass vanishes, but the expansion stays.

A huge coherent recurrently regenerated swarm of spherical pulse responses can generate a significant and persistent deformation that moves with the swarm. This happens in the footprint of elementary particles. The spherical pulses are generated by the hop landing locations of the particle. The hopping path forms a hop landing location swarm that is described by a location density distribution. This distribution equals the square of the modulus of the wavefunction of the particle.

Dear Hans,

You did not answer my questions: to define the field and what the charges are made of. Finding a common language is a great task when communicating. We speak different languages. You immediately go to the manipulation of numbers. You do not get into the essence. I speak the language of nature. The real is what experience shows. Mathematics is not physics. Solving equations is no substitute for a sense of nature. Nature is perfect in its simplicity.

Yours

Valeriy Pakulin

Valery,

The gravitation field has no charges. Physics calls its source mass, but mass is a distributed property. Where electric charges are point-like objects that reside on the same platform on which the corresponding elementary particle resides, are the originators of deformation transient field excitations that together constitute a distribution which can be given the property mass.

See: "Mass and Field Deformation" and "

Tracing the Structure of Physical Reality by Starting from Its Fundamentals" in http://vixra.org/author/j_a_j_van_leunen

When gravitation field has no charges, then what is the causes effected the body?

It is difficult to explain the definition of field, Since Electric field is due to rest charge particle, Magnetic field is due to moving charge particle, But Gravitational field is what type of particles responsible for?

Gravity is a quadratic effect of electrodynamics.

The gravitational charge is proportional to the square of the electric charge. This is the reason for the mutual attraction of bodies.

All basic fields are founded on continuums that quaternionic functions describe. The behavior of these fields are defined by quaternionic differential equations. The difference between basic fields is caused by start and boundary conditions. The universe is a field that always and everywhere exists. Electromagnetic fields are generated by electric charges. Elementary particles couple the universe field to the electromagnetic field.

A quaternion can archive a time-stamp and a three-dimensional spatial location.

Quaternionic functions apply quaternionic parameter spaces.

Quaternionic differential calculus applies the quaternionic nabla operator ∇. This calculus uses proper time τ, where Maxwell equations apply coordinate time t.

We use boldface to indicate vectors.

∇≡∇ᵣ+∇

∇≡{∂/∂x, ∂/∂y, ∂/∂z}

∇ᵣ≡∂/∂τ

In the quaternionic differential calculus differentiation is a multiplier operation.

Compare:

c=cᵣ+c=a b≡(aᵣ+a)(bᵣ+b)=aᵣbᵣ−〈a,b〉+abᵣ+aᵣb±a×b

and

ϕ=ϕᵣ+ϕ=∇ψ≡(∇ᵣ+∇)(ψᵣ+ψ)=∇ᵣψᵣ−〈∇,ψ〉+∇ψᵣ+∇ᵣψ±∇×ψ

∇ψ represents the change of field ψ. This change covers five terms. Part of these terms can compensate other terms. For example, ∇ᵣ ψ can compensate ∇ᵣ ψ.

ϕᵣ=∇ᵣψᵣ−〈∇, ψ〉

ϕ=∇ψᵣ+∇ᵣ ψ ±∇×ψ

Double differentiation leads to the quaternionic second order differential equation:

ζ=∇*ϕ=(∇ᵣ−∇) (∇ᵣ+∇) (ψᵣ+ψ)= {∇ᵣ∇ᵣ+〈∇, ∇〉} (ψᵣ+ ψ)=ρᵣ+J

ζ={∇ᵣ∇ᵣ+〈∇, ∇〉} ψ

The equation can be split into two first-order partial differential equations ϕ=∇ψ and ζ=∇*ϕ

This equation offers no waves as its solutions. The quaternionic equivalent of the wave equation is:

φ= {∇ᵣ∇ᵣ−〈∇, ∇〉} ψ

The homogeneous version of this equation offers waves as its solution:

∇ᵣ∇ᵣ ψ=〈∇, ∇〉ψ =−ω² ψ

Corresponding Maxwell-like equations are:

E=−∇ψᵣ−∇ᵣψ

B=∇×ψ

ρᵣ=〈∇,E〉

J=∇×B−∇ᵣE

∇ᵣB=−∇×E

The corresponding second order differential equations are:

{∇ᵣ∇ᵣ −〈∇,∇〉}ψ=J

{∇ᵣ∇ᵣ −〈∇, ∇〉}ψᵣ=ρᵣ

Solutions

The two second-order partial differential equations describe the behavior of dark objects.

φ=(∂²/∂τ²± 〈∇, ∇〉)ψ

A third equation skips the first term

φ= 〈∇, ∇〉ψ

This is the Poisson equation.

In fact, these equations are quaternionic differential equations. Thus, φ and ψ are quaternionic functions that own a scalar real part and an imaginary vector part. The solutions are quaternionic functions.

The equation using the − sign is the quaternionic equivalent of the wave equation. The equation using the + sign splits into two quaternionic first order partial differential equations. This second equation does not offer waves as solutions.

The homogeneous wave equation can be written as:

∂²ψ/∂τ²= 〈∇,∇〉ψ =-k² ψ

This delivers the quantized wave solutions of the Helmholtz equation

The dark objects behave as shock fronts and operate only as odd dimensional field excitations. During travel, all shock fronts keep the shape of the front.

All solutions of a homogeneous second order partial differential equation superpose in new solutions of that equation

One-dimensional shock fronts

The one-dimensional shock fronts also keep their amplitude. Consequently, the one-dimensional shock fronts can travel huge distances without losing their properties. Combined equidistantly in strings they represent the functionality of photons. This means that the one-dimensional shock fronts are the tiniest possible packages of pure energy.

Depending on the PDE the solutions can be described by different equations. The solution for the wave equation is

g(q ,τ)=f(c τ ± |q−qₒ|)

This solution cannot represent polarization.

The solution for the other equation is

g(q ,τ)=f(c τ ± |q−qₒ| i)

The vector i can indicate the polarization of the shock front.

A photon is a string of equidistant energy packages that obeys the Einstein-Planck relation

E = h ν.

Since photons possess polarization, they use the second solution for their energy packages. Thus, the constituents of photons are not solutions of the wave equation.

Green’s function

One of the solutions of the Poisson equation is the Green’s function

g(𝐪)=1/|𝐪−𝐪ₒ|

∇g(𝐪)=( 𝐪−𝐪ₒ)/|𝐪−𝐪ₒ|³

〈∇, ∇〉 g(𝐪)= 〈∇, ∇g(𝐪)〉=4πδ( 𝐪−𝐪ₒ)

Thus, the Green’s function is a static pulse response under purely isotropic conditions.

Three-dimensional shock front

The three-dimensional shock fronts require an isotropic trigger. These field excitations integrate over time into the Green's function of the field. That function has some volume, and the pulse response injects this volume into the field. Subsequently, the front spreads the volume over the field. The corresponding solution of the wave equation is

g(r ,τ)=f(c τ ± r)/r

The parameter r is the radius of the spherical front. The formula can also be written as

g(q ,τ)=f(c τ ± |q−qₒ|)/|q−qₒ|

The solution for the other PED is

g(q ,τ)=f(c τ ± |q−qₒ| i)/|q−qₒ|

In this solution the vector i acts as a spin vector.

Thus, the initial deformation quickly fades away. but the expansion of the field stays. Having the capability to deform the carrier field corresponds to owning a corresponding amount of mass. This means that temporarily, the spherical pulse response owns some mass. This mass vanishes, but the expansion stays.

A huge coherent recurrently regenerated swarm of spherical pulse responses can generate a significant and persistent deformation that moves with the swarm. This happens in the footprint of elementary particles. The spherical pulses are generated by the hop landing locations of the particle. The hopping path forms a hop landing location swarm that is described by a location density distribution. This distribution equals the square of the modulus of the wavefunction of the particle.

My dear Hans,

You already wrote all this seven days ago. And it has nothing to do with my question. Please do not write anything else.

Yours

Valeriy Pakulin

Valeriy,

You apparently do not understand what my reaction states. All fields use the same field equations! So in behavior controlled by field equations exist no difference between gravitational fields and electrical field. The difference is generated by start and boundary conditions.