(Donation to the project MGEF. Please join us in showing your support).fig-67Unusual gyroscope MGEF (Module Generator of Entropic Forces).

«What’s in the optical hologram is a real: film or a three-dimensional image?»

 

Today, the holographic principle — is hundreds of theoretical works by famous world-class physicists: G. ‘t Hooft, L. Susskind, J.D. Bekenstein, E. Verlinde, J.M. Maldacena, R. Bousso …. It is a theory that unites incompatible, but in fact, it is the most accurate reflection of the current state of science when scientific discoveries and their practical applications are so incredible in terms of ordinary human perception, that in them hard to believe. Already there are experimental studies confirming the operation of the holographic principle [30], [32].

Understanding of the emergent nature of space-time and gravity comes from the laws of black hole thermodynamics and the holographic principle was born after the discovery of the laws thermodynamics on their surface. Bekenstein [7] and Hawking [8] have suggested a deep connection between gravity and thermodynamics. The holographic principle states that the entropy of ordinary mass (not just black holes) is also proportional to surface area and not volume; that volume itself is illusory and the Universe is really a hologram which is isomorphic to the information «inscribed» on the surface of its boundary — this holographic screen.

Commensurate in scale with the holographic principle was the discovery of the anisotropy of the Universe in 1992 (anisotropy of cosmic microwave background (CMB) — (this the difference of temperature in different directions on the sky) [5] Experimentally confirmed by the anisotropy of the CMB and the discovery of coherent acoustic waves in the early Universe is of great importance not only for cosmology but for the whole of natural science as a whole. It can be said that large-scale three-dimensional sound coherent oscillations act before recombination period and ended after 379,000 years, but did not disappear completely, and recorded big scale on the sky. As a result, the temperature anisotropy of the Universe, according to the holographic principle, may be projected on its holographic screen. It is experimentally confirmed the fact that coherent oscillation of the elements of mass can be projected without any loss of information to the specific locations of the holographic screen. All calculations and experimental data in the modern cosmological model, in particular, explain the observed anisotropy of the Universe are connected with the speed of sound three-dimensional coherent oscillations of the primary plasma. the discovery of CMB confirmed the theory of the hot Universe and is now one of the most important facts supporting the theory of the Big Bang and the expanding Universe. We can say that experimentally is not confirmed equipartition of temperature on the cosmological horizon of the inflationary Universe. Investigating thermodynamics on the holographic screen, we must take into account the impact of it’s of global temperature anisotropy on the dynamics the projections of phenomena. The dominance of gravity, on a large scale, in particular, and existence all four known forces a whole can be explained by the influence of a large-scale thermal anisotropy Universe.

 

The CMB dipole anisotropy. The color scale shows a spread of ±3.5 mK.

For experimental verification of the holographic principle is offered unusual gyroscope MGEF. It is assumed that MGEF can generate and control the direction of gravitational forces, can be used as a propulsion system and can easily be reprogrammed to work as a device for measuring the geometry and dynamics of the Universe in the real time (without limiting the speed of light). Let us consider in detail how it works.

To demonstrate the possibilities of generating artificial gravity forces we define that is very important: Although the bits of information are encoded on a two — dimensional screen the observed images appear three dimensional since their nature is holographic.

«Usually, holography is studied in relativistic contexts. However, the gravitational force is also present in our daily non-relativistic world» [25] [page 3. 5].

«we will argue that the central notion needed to derive gravity is information» [25] [page 2. 23].

Motivated by Bekenstein’s argument, let us postulate that the change of entropy associated with the information.
Communication between entropy and information consists that change of information of (ΔI) represents a negative change of entropy of (ΔS) [26] [page 85. 42],

ΔI  = — ΔS 

«We can express the entropy change in terms of the acceleration»  [25] [page 11. 14]. «Thus, we conclude that acceleration is related to an entropy gradient. This will be one of our main principles». [25] [page 11. 22].

ΔS ∼ α

To shorten the text, we mean that the temperature, entropy, and entropic forces are on the holographic screen — the cosmological horizon of the Universe.

Let’s start with the postulate of holographic principle:

1. «In the limit of a very large region, the bounding surface can be taken to be a flat plane at infinity. In some way, the phenomena taking place in three-dimensional space can be projected onto a distant «viewing screen» with no loss of information» [3] [page. 3. 18]. This means that all the information, the receiver, the transmitter, and the observer is on the holographic surface the cosmological horizon of the Universe. For us, it is very important not to forget and this greatly simplifies the exchange and processing of information for the observer.

2. Unusual gyroscope MGEF is that the cycle of its spherical rotor makes one complete revolution around the three axes, rather than around the same axis, as in a conventional gyro. The movement of the rotor in a vacuum is controlled by a computer control system.

3. Since the rotation (coherent fluctuations) spherical motion of the spherical rotor is made around the three orthogonal axes, then there we have are six areas (groups) of angular accelerations elements of mass. All elements mass of the rotor moves over the surfaces of concentric spheres around a fixed point — the center of mass. Nodes and anti-nodes of angular accelerations create a stationary interference pattern. Thus, we are dealing with the cooperative a quantum phenomenon.

4. According to the holographic principle, we can make this projection the six groups of angular accelerations (αCi) elements of mass (gradient entropy) on a holographic screen — the cosmological horizon of the Universe without losing information. Actually, the projection and is not required, if you understand the essence of the holographic principle. In the presence of horizons, it is natural to define on the horizon global gradient temperature ΔTgl.

5. We have the stationary interference pattern of the six groups of angular accelerations (gradient entropy) is on diametrical sections of the holographic screen. rotor control system produces shifts of the rotor (any the pairs (4 of 6) projections, reverses the rotation of the half-line). Gradients entropy of αEi — angular accelerations (they emerge at displacement elements of mass) by moving on the screen part of the projections are experiencing the different entropic force as they interact with a certain dipole global gradient temperature. Thus we are able to control the position of the on-screen projections of two angular accelerations αCi and αEi. The center of projections angular accelerations is displaced under the action of the forces of entropy associated with a temperature gradient. therefore, the center of accelerations of the rotor is attached to the entropic force «F» — this is a long-range gravitational force.

6. Let us consider.

 The thermodynamics on the holographic screen (hs) with the dimension of «2 + 1» (2D).

Consider the temperature on the holographic screen:

(1)

where Ths — temperature on the holographic screen, ΔT — positive or negative temperature difference at two points per unit distance between them a vector quantity — Δx. The minimum limit Δx is Planck length. The max limit Δx is the distance between the two central points of petals of global temperature dipole anisotropy of the Universe.

Considering that the entropy of a system depends on the distance ∆x, an entropic force Fentr could arise from the thermodynamical conjugate of the distance as  [25] [page 7. (3.7)]

(2)

The fundamental entropic force may be regarded as an indication that is realized on the holographic screen in the range ∆x. Substitute (1) in (2).

(3)

where «ΔT» — gradient temperature, «ΔS» — gradient entropy caused by the acceleration projections of matter.

Under the influence of the entropic force, the center of projection accelerations is moved relative to the screen. Therefore, it is fair for gravitational force in the emerging space-time which will be discussed below in the text. The use of a global screen temperature gradient due to the fact that the gravity dominates at large distances but is very weak at small scales, then Fgrav:

(4)

where «ΔTgl» — global temperature gradient, «ΔS» — gradient entropy caused by the acceleration either projections of matter.

Gravity — ordered action entropic forces on the projection of the phenomena on a 2D the holographic screen. As a result, the centers of the projections are changing their position in 3D. Entropic (gravity) force — is the result of the interaction of the entropy gradient on the holographic screen caused by the acceleration of matter and the global temperature gradient, known as anisotropy of the Universe. Thus, the movement of information on the 2D holographic screen leads to the long-range directional gravity force in 3D.

After transformation in 3D away quite easily possible to deduce the fundamental laws of Newton (in particular the Second Law). This means that to obtain long-range gravitational forces do not require exotic masses and energy (see below Formalism Verlinde in the emerging space-time (the physics of 3D on the border of 2D).

Newton’s third law is not violated since the size of a closed system is increased to the cosmological horizon of the Universe. Series directed long-range gravity forces leads us to manipulate gravity. Note that the computer of the rotor motion control system has received information on the situation of the global dipole temperature anisotropy of the Universe without limiting the speed of light.

Global temperature gradient Universe and projection on a holographic screen interference pattern of the six groups of angular accelerations αCi (respectively, gradients of entropy). Arrows indicate the possible direction of the angular acceleration displacement αEi.

Formalism Verlinde in the emerging space-time (the physics of 3D  on the border of 2D).  The number of space-time dimension equal to d = 4.

We briefly review how the Newtonian force law emerges from entropic considerations [25]. Explicitly, when a test particle with mass m is located near a holographic screen with distance Δx, the change of entropy on a holographic screen may take the form [25] [page 7. (3.6)]:

[25][page 9. fig 3]

A particle with mass m near a spherical holographic screen. The energy is evenly distributed over the occupied bits, and is equivalent to the mass M that would emerge in the part of space surrounded by the screen.When a particle has an entropic reason to be on one side of the screen and carries a temperature, it will experience an e fective force equal to

(6)

Verlinde has introduced this screen by analogy with an absorbing. The mass m located at Δx away from the screen and getting the change of entropy on the screen.

Next, consider the entropic effect on the screen to test the particles, which are close to the screen. Plugging [7] into [8] leads to an important connection between the entropic force and temperature on the screen.

(7)

One uses mainly this connection to derive the entropic force, only after setting the temperature T on the holographic screen. Introducing the Unruh temperature as the holographic screen temperature.

Introducing the Unruh temperature Tu [14] as the holographic screen temperature

(8)

one may find the Newton’s Second Law

(9)

For elements mass of coherently oscillating rotor, directed gravitational force Fgrav is applied to the center of the acceleration.

Fgrav=ηmα²

 

where Fgrav — gravitational force. The emergent laws of gravity contain gravitational force describing the ‘elastic’ response due to the entropy displacement of the projection.

η — order parameter (η > 0) (the inverse of the thermodynamic effect of the external environment),

m — the mass of rotor,

α² = αCiαEi ⁄ 6  gravity accelerations (when αCi = αEi), 6-the number of projections.

αCi — angular accelerations (they emerge at forced a coherent oscillations elements of mass).

αEi – angular accelerations  — the entropy displacement (they emerge at displacement elements of mass).

This means that to obtain long-range gravitational forces do not require exotic masses and energies.

Holographic principle concludes that: gravity is explained as an entropic force. The equivalence principle leads us to conclude that it is actually this law of inertia whose origin is entropic. This thermodynamics on 2D, arising from the statistical behavior of microscopic degrees of freedom associated with a global temperature anisotropy and localized on the holographic screen cosmological horizon of the Universe. Thus the force of gravity and his long-range is not postulated but derived from a holographic scenario.

In contrast to the entropy change when a particle approaches the screen equidistribution temperature, the entropy change when each of the projections of particles (elements of mass) moving on the screen interacts with the gradient of temperature and carries more information than when artificially introduced the equipartition of temperature on screen. As a result of the interaction of the gradient of the entropy projections particle arising entropic force applied to the geometric center of the particle. Therefore, this mechanism is maybe responsible for the appearance of a mass. A result of the encoding information on the holographic screen appears mass/energy, gravity, and space-time itself. Unusual gyroscope MGEF can be used for a detailed study of this assumption.

The series generated in MGEF directed long-range gravitational forces leads us to be able to control gravity.
MGEF device can answer the question: Does the holographic principle is valid, according to which the physics of our 3D n-dimensional space-time is equivalent to the physics of the hypersurface with the dimension of 2D. In addition, we get the information directly from the surface of the cosmological horizon in real time and without limiting the speed of light.

MGEF

fig-03b

  1. Base.
  2. Enclosure.
  3. The Stator (diameter front section).
  4. Frame
  5. Rotor.
  6. Magnets (100 pcs.).
  7. Magnetic point.
  8. Optical point.
  9.  Induced coils (66 pcs.).
  10.  Sensors (magnetic and infrared).
  11.  Slave controllers and drivers of induced coils.
  12.  Computer.
  13.  Accumulators.
  14.  Solar batteries.
  15.  Retaining bolts.

Let us discuss the concept of the MGEF design, ‘a thick-walled sphere with the magnets in a vacuum inside another sphere with induced coils’. The design allows for three-dimensional oscillations of the balanced ceramic rotor 5 (hereinafter, the rotor) with the magnets pressed into it around its center of mass. Such gyroscope without mechanical axes can be obtained by a master electromagnetic suspension that acts based on the principle of the rotor levitation with magnets in the magnetic field. The rotor displacement from a predetermined equilibrium position is measured by the position sensors. The signals from the sensors are processed by a multi-core microprocessor control system which regulates the currents pulse in the induced windings of the stator so that the magnetic forces return the rotor to the predetermined position and can simultaneously produce full angular rotations of the rotor in any direction under computer control. The control program is provided with the possibility of stabilizing the cyclic rotor speed.

Thus, we are able to rotate the balanced ceramic sphere in a vacuum around one fixed point in any direction under computer control.


Forced coherent fluctuations of a rotor make angular accelerations (αCi) of each element of mass. On multiple concentric spherical surfaces, angular accelerations take constant positions in space, in a time of a cycle and create an interferential system.

In full accordance with the holographic principle, one of the most important properties of coherent fluctuation of a rotor is to concentrate the gradients entropy displacement by its angular accelerations round each of semiaxis of motionless Cartesian coordinates on a «remote» holographic surface of the Universe and angular accelerations may be projected with no loss of information and travel on it without time delay.

Further, we will discuss the holographic dynamics as applied to the spherical rotor in a vacuum. Such closed dynamic system, as we will see below, has central and translational symmetry. It will include (along with the rotor and stator) concentric spherical holographic screens with the entropy associated with the local space occupied by the rotor, its local temperature, and its dynamics.

Let’s receive the parametrical equations of coherent fluctuation from the principle of the smallest action (Hamilton’s principle) for angular displacements of its points.

Let us start with the definition of a coherent oscillation of a classical body (6DoF).

“The motion of a physical body when only one its point О remains fixed all the time is called the rigid body motion (rotation) around a fixed point О. In this case, all points of the physical body move along the surface of concentric spheres, the centers of which are located in the point О. Therefore, such motion is called the spherical motion of the body. Based on the definition of the spherical motion, we obtain parametric equations of the coherent oscillation of the elements of mass from the principle of least action”.

«Coherent oscillations of the elements of mass are the spherical motion of a physical body, the forced full harmonic oscillations of which are successively shifted by 90° or 180° and which are produced in a cycle by angular displacements of its points around the fixed axes of Cartesian coordinates associated with the accelerating observer.»

fig-01

(10)

Then angles: θx- roll, θy — pitch, θz — yaw and parameters θ= πt and -1 ≤ t ≤ 1; where is geometrical angle admeasured by arbitrary clockwise or anticlockwise direction, starting from the relevant semiaxis, and t sets the needed accuracy of angular rotations. The motion formula (10) is given parametrically, and it is applicable for any rotor radius. When Δt → 0, we have small-angle.

“The small-angle approximation is a useful simplification of the basic trigonometric functions which is approximately true in the limit where the angle approaches zero. They are truncations of the Taylor series for the basic trigonometric functions to a second-order approximation.” [33].

sin(θ)≅ θ

“In the limit of a very large region, the bounding surface can be taken to be a flat plane at infinity».  [1] [page 3. 18].  Then рrojections on holographic screen H = A=∞,  S — Arc length — the path of the projected point and  O — Line segment on a holographic screen.  Then S = O and

sin(θ)= θ.

           Thus, the number of directions of coherent oscillations (Number trajectories of apex) can be calculated:

 

The table shows four variants from all (64) that do not fall under the definition of coherent oscillations (there is no phase shift).

The table shows all (60) variants coherent oscillations of rotor unusual gyroscope MGEF around the fixed axes of the Cartesian coordinates X, Y, Z.

According to the definition of a coherent oscillation, all elements of mass of a physical body move along the surface of concentric spheres around one fixed point. If we compare all the points of the physical body with the elements of its mass, we can conclude that we are dealing with a cooperative quantum phenomenon. The complementary accelerations of the elements of mass that are directedly associated with directed the fixed Cartesian coordinates, nodes and antinodes, make a fixed interference pattern that reflects the known geometric structure. Other ways of describing coherent oscillations (not parametric) can lead to loss of information. For example, the task of finding the final coordinate of point a system can be performed on two legs or one hypotenuse, in the second case it leads to loss of information, although the end result is the same. Recall that the main law of conservation for the holographic principle is the law of information preservation.

 Slow simulation of coherent fluctuations of a spherical rotor on parametrical formulas

 

The coherent fluctuations of the rotor occur in a vacuum. Such thermodynamic isolation of the rotor from the nearest external environment is crucial because it eliminates the possible influence of the temperature and entropy changes on the rotor surface. Thus, in a vacuum, the rotor acquires local temperature and entropy when matter (particles) is displaced.

Moreover, such rotor oscillations are characterized by central and translational symmetry, along with mutual orthogonality, as they occur around each of the axis (x¡).

fig-00bb-1

The Graph shows six zero — angular speeds of revolutions of the rotor, when the rotary acceleration (αС) becomes zero, for each of the Cartesian coordinate semiaxes.

αС (x+), αС (x-) — accelerating along the X-axis, αС (y+), αС (y-) — Y-axis, αС (z+), αС (z-) — Z-axis.

It is important to note that, according to the above formula (10), the arising acceleration (αСi) of all points – the electrons (we will treat them as rigidly bound point particles in the atoms, as the elements of the rotor mass) is distributed in space and in cycle time. The phases of the oscillations around each of the axes are a shift in cycle time to 90° and, therefore, the extremes of harmonic functions, due to which the angular shift of the rotor electrons occurs, are distributed in space and in cycle time; see Figure 1. The harmonic functions of the angular movement of the points (the rotor mass elements) are periodic relative to both time t, and to the (x¡). Thus, equipartition of the extremes of harmonic functions of speed (when αСi = 0) in cycle time and in space leads the dynamic system isolated from the external environment to the spatial and temporal coherence.

Relying on the above discussion, let us define the scale gravitational force. Due to the gyroscope property to acquire stability in an effort to save its determined direction relative to the world space and as a result of the rigid connection between all material points (the electrons) of the rotor, they all get the rotary acceleration (αCi).

It doesn’t have an outside or an inside. It just has the rubber surface. You have to learn to think of the surface of the balloon as being all there is. It’s all there is». L. Susskind.

The projections acceleration the surface are possible because: «… have determined that, to high precision, space in our cosmos is flat» [5] [page 1371].

fig-02b

fig-01b

Red and purple are conditionally shown temperature gradients Tu — dipole lobes (on the surface anisotropy) [5]. For a case of coherent fluctuation of a rotor the entropy gradients associated with its angular accelerations: αCX+ =0, αCX-=0, αCY+ =0, αCY- =0, αCZ+ =0, αCZ- =0 concentrate around motionless semiaxis (x¡) on surface of (fig. at the left). For a rotation case (incoherent fluctuation) of a rotor around the main axis, gradients of entropy are making displacement on all surface of (fig. on the right). On two spheres by white color, the arrangement of gradients of entropy on a surface is conditionally shown. For the generation of the directed gravitational force, the program of management of the coherent fluctuation of a rotor makes the displacement of its points round two of three axes of motionless Cartesian coordinates. This results in the acceleration of displacement (αEi). Options are presented in Tab. A, B, C, and D

fig-00a

fig-00d

The scaling and directed gravitational force can be artificially obtained by displacement the position of coherent fluctuations matter relative to two of the three fixed Cartesian coordinate axes, which causes changes in the local entropy on the holographic screen. This can be regarded as a cooperative quantum phenomenon. Thus, the directed scale gravitational force can be generated during the reverse transition of the system to more probable (realized by the greater number of microstates) macro state at the moment of the translational symmetry violation.

See more: http://isan.com.ua/articles/

 

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[29] [Verlinde, 2016] Erik Verlinde. «Emergent Gravity and the Dark Universe» https://arxiv.org/pdf/1611.02269v1.pdf

[30]     Margot M. Brouwer, Manus R. Visser, Andrej Dvornik, Henk Hoekstra, Konrad Kuijken, Edwin A. Valentijn, Maciej Bilicki, Chris Blake, Sarah Brough, Hugo Buddelmeijer, Thomas Erben,Catherine Heymans, Hendrik Hildebrandt, Benne W. Holwerda, Andrew M. Hopkins, Dominik Klaus, Jochen Liske, Jon Loveday, John McFarland, Reiko Nakajima, Cristóbal Sifón,Edward N. Taylor »  «First test of Verlinde’s theory of Emergent Gravity using Weak Gravitational Lensing measurements»  https://arxiv.org/abs/1612.03034

[31]  Yun Soo Myung, Hyung Won Lee, and Yong-Wan Kim «Entropic force versus temperature force»  https://arxiv.org/abs/1006.1922v1

[32] Niayesh Afshordi, Claudio Corian, Luigi Delle Rose, Elizabeth Gould, and Kostas Skenderis » Observational Tests of Holographic Cosmology»  arxiv.org/pdf/1607.04878v2.pdf

[33] https://en.wikipedia.org/wiki/Small-angle_approximation

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