**Valentina Markova ^{1*}**

** ^{1}**Bulgarian Academy of Sciences, Bulgaria.

^{*}*Corresponding Author: *Valentina Markova, Bulgarian Academy of Sciences, Bulgaria, Tel: +359 877 888 195; Fax: +359 877 888 195; E-mail: i.b.r.dr_vm@mail.com

**Citation: **Valentina Markova (2020) About the Phenomenon of Free Energy, Described by the New Axioms and Laws. *Nano Technol & Nano Sci J* 3: 119.

**Copyright: **© 2020 Valentina Markova, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

**Received**: July 12, 2020; **Accepted**: July 20, 2020; **Published**: July 23, 2020.

The article describes brand new field through new axioms and laws .The theory of new axioms and laws, called Expanded Field Theory, includes 2 new axioms and 8 new laws. It was described in previous articles and reports. It expands the Classic Field Theory to a much more general theory that consists new type of field (accelerating and decelerating), new view of movement (cross and longitudinal) In present report are used 2 axiom and 6 laws only.

It is known that Maxwell’s laws (1864) are based on a single base axiom [1]. It states that the movement in a closed loop leads to evenly movement (with constant speed) of a vector E: div rot E = 0. The author change this axiom with a new one, according which the movement in an open loop ( div rot E ≠ 0) or vortex (div Vor E ≠ 0 ) leads to unevenly movement (with variable speed ) of a vector E [2].

The subsequent results are : the evenly movement is replaced with unevenly movement which can be decelerating or accelerating; in 2D is defined a cross vortex and in 3D is defined a longitudinal vortex ;the cross vortex in 2D is transformed to a longitudinal vortex in 3D through a transformation Δ1; the longitudinal vortex in 3D is transformed to a cross vortex in 2D through transformation Δ2; decelerating vortex emits free cross vortices to the environment that are called “free energy”; accelerating vortex sucks the same ones free cross vortices and so on. The temperature decreases due to the suction of cross vortices by the accelerating vortex but the temperature increases due to the emitting of cross vortices by the decelerating field.

This report offers using of this new type of field– accelerating field .The accelerating field suck in free cross vortices (“free energy”) from environment through Positive Feedback that turns acceleration process to a generation process. It not only preserves its internal energy but multiplies it, at the expense of sucking in the energy of the environment. Thus the acceleration process turns to generation process. Because of the technical generation of this accelerating field is very complicated for now, it is necessary to imitate it using our well-known Electromagnetic field. The secret is in very unique shape of the input (to the antenna) electrical signal. It is imitated the accelerating signal using the well-known Electromagnetic field, that sucks the free cross vortices from the environment.

**Nichola Tesla has done "free energy” generator (1931) in his famous electric car of “Pierce Arrow corporation”. It worked without fuel and used accumulator battery only at start up.**

The Classic Axiom in the Theory of the Electromagnetic Field certifies Maxwell’s laws (1864). It postulates that the movement of an electric vector E in a closed loop is evenly:

** div(rot E) = 0, 1.**

where (rot E) is the movement of the vector E in a closed loop; div (rot E) is the divergence (the variation in increase or decrease is zero) of the vector E during its movement in a closed loop (rot E) ; the movement of the vector E in a closed loop (rot E) with zero divergence (variation) of the vector E is equivalent to evenly movement or to movement with constant velocity(V) [1].

The defect of the classic axiom [1] is that it does not describe movement in an open loop or a vortex and movement with a variable velocity V. Now is the time to break the restriction of Maxuell’s axiom [1] and to expand the space explaned by the theory.

The main motivation for altering the classic axiom [1] follows after the need to describe the cause for an uneven movement in open systems. It turns out that open vortices are the cause of closed vortices, which means that open vortices are more fundamental than closed ones [2].So it is the necessity to change the existing axiom of the Classic Field Theory for closed loop to axioms of Expanded Field Theory for open loops [2].So the new axiom describes an open loop movement.

**div (rot E) ****≠**** 0 . 2. **

For motion of vector E (rot E) along open loop with monotone-decreasing or monotone-increasing velocity is equivalent to vortex (Vor E).

**Axiom 1.**** The motion of vector with monotone-decreasing or monotone-increasing velocity becomes along an open vortices :div (VotE) ****≠ ****0 for vector E in 2D or div (VotH) ****≠**** 0 for vector H in 3D** .

div (Vor E)> 0 or div ( Vor E)

div ( Vor H)> 0 or div (Vor H)

**Result: (4 types of vortices)**

The main result of Axiom 1 is that there has been **4 types of vortices** : a cross vortex in 2D (E2D) that can be accelerated(E2D +) or decelerated (E2D -) and a longitudinal vortex in 3D (H3D) that can also be accelerated (H3D +) or decelerated (H3D -) ,(Figure1c,d) [3].

**Result:( eccentric spiral)**

We are accustomed to the wrong image of a spiral with a constant distance between the turns. But it is “unreal” spiral (Figure 1,b). Because if it is a spiral, it must be accelerated (accelerating or decelerating). If there is no acceleration, then it is not a spiral but it is closed loopl. The reason is in the acceleration of velocity. The real spiral is **eccentric spiral**. For example, in “real” decelerating vortex E1> E3 and the Geometric Center will aim to move to the larger vector E1 (up). In the same vortex E2> E4 and at the same time the Geometric Center will aim to move to the larger vector E2 (to the left). Therefore, the Geometric Center will move to a second quadrant or to the Gravity Center (Figure 1b) [3].

**Figure 1: **The classical axiom is replaced by a new axiom**.**

At every (i) point p(i) of a decelerating cross vortex E there are two simultaneous movements: velocity vector (-V) and amplitude of the cross vortex(-W) (Figure 1b). The two simultaneous movements (V and W) also exist at all points of the vortex. The cross vortex (E2D -) is transformed into a longitudinal vortex (H3D+). This is accomplished through a specific operator (Δ1) for cross-longitudinal transformation (Figure 2c). The transformation Δ1 connects two spaces with different qualities.

**Axiom 2****: Two vortices of vector E in 2D are existing at the same time: when E=A+iV and when E=V+iA. **Definition: When one object is a generator and the other consumer these objects form a system and call them complementary objects.

**Law 1: The open cross vortex (E2D) generates (inward or outward) an open longitudinal vortex (?3D) in its center through a cross-longitudinal transformation ****Δ****1:**

** Δ1**

** Vor (E2D) => -- Vor (?3D), 3. **

Where Vor (means an unevenly vortex) replaces rot (means a closed loop). The cross vortex in 2D (E2D) continues its development in 3D as a longitudinal vortex (?3D) (Figure2c).

**Results: (the cross vortex of E in 2D continues as a longitudinal vortex of H in 3D). **The Maxwell’s law states that rotor of vector E generates in center vector H: rot E = H [1]. But the present Law 1 postulates that the cross vortex Vor (E2D) of E in 2D generates a longitudinal vortex Vor (H3D) of H in 3D. The sign (-) for Vor (H3D) 3D means that E2D and H3D have opposite dynamics .For example when div (Vor E2D) < 0 (is decelerated), div (Vor H3D) > 0(is accelerated).

**Definitions: **A decelerating cross vortex (E2D-) is a cross open vortex (E2D) for which div(Vor E2D) < 0. A decelerating longitudinal vortex (H3D-) is a longitudinal open vortex (H3D) for which div (Vor H3D) < 0.Figure 2b shows a decelerating longitudinal vortex (H3D-) inward. An accelerating cross vortex (E2D+)is a cross open vortex(E2D)for which div(Vor E2D) > 0. An accelerating longitudinal vortex (H3D+) is a longitudinal open vortex (H3D) for which div (Vor H3D) > 0. The decelerating cross vortex (E2D-) inward generates an accelerating longitudinal vortex (H3D+) outward in its center through a physical transformation (Δ1-) (Figure 2c).This transformation (Δ1-) is achieved through a phenomenon called Full resonance (resonance in amplitude, frequency and phase). This type of resonance will be described in detail in further developments and reports.

**Figure 2: **Two Transformation Laws. Options in two complementary complex objects.

**Consequence:** The open decelerating cross vortex (E2D -) inward generates an open accelerating longitudinal vortex (?3D +) outward . This action takes place from the center of decelerating cross vortex (E2D -) through a particular cross-longitudinal transformation Δ1-:

**Δ****1-**

** Vor (E2D -) => Vor (H3D +) . 3a. **

Figure 2c shows this transformation in 3D. The Consequence of Law1 corresponds only to the pulling part from inside center (Figure 2c) of the cross vortex pair of objects in 2D (Figure 2c - Figure 2d).

**Results: (the model of electron**). This Consequence describes in 2D **the model of electron** as the decelerating inward vortex (dec (e-)) (Figure2c) in the chain of proton-electron (Figure 2d - Figure 2c). Every electron (dec(e-) ) of this type : “expanded cross vortex” pulsates in 3D in two modes of : in and out. Surely this type of electron rotates at outside orbits (orbitals). If Law1 generates in 3D a simple and single longitudinal vortex, it would describe the Expanded Maxuell’ law for Electromagnetic Field : (Vor E )2D= k(.Vor H) 3D .

**Results:** **(Gravity Funnel). **If Law1 generates in 3D a pipe - wrapped vortices from longitudinal vortices inserted into each other , it describes another field with properties inverse to the Electromagnetic Field Actually it describes the **Gravity Field as a Gravity Funnel**. Gravity funnel is generated in 3D tubes of longitudinal vortices as an longitudinal energy in pulling part outward (Figure2c) of the pair of complementary objects (Figure2c – Figure2d) [7,8].

**Consequence:** The open accelerating cross vortex (E2D +) inward generates an open decelerating longitudinal vortex (?3D -) outward. This action takes place from the center of accelerating cross vortex (E2D +) through a particular cross-longitudinal transformation Δ1+:

**Δ****1+**

** Vor (E2D +) => Vor (H3D -). 3b. **

**Results:** **(4 types of electrons e-). **We immediately obtain the models of 4 types of electrons(e-): ( dec(e-)) and (acc(e-)) ” electrons ,which each of them pulsates in two modes: ” expanded cross vortex” and a “shrunken cross vortex” ,each of them pulsate in 3D : ” in and out “.

**Results:** (**electron in inside orbits). **The first type of **electron( acc(e-)):** when the electron is inside a proton-electron system(connected in the atom) has accelerating cross vortex (E2D+) inward that generates a decelerating longitudinal vortex(H3D-) upward.

The Consequence of Law 1describes in 2D the model of electron (e-) as the accelerating inward vortex( acc(e) (Figure2c) in the chain of proton-electron (Figure 2d - Figure 2c). Every electron (acc(e-)) of this type : “ shrunken cross vortex “pulsates in 3D in two modes of : “in and out”. Surely this type **of electron rotates in inside orbits( orbit)**.

**Results:** (**“free” electron with “expanded cross vortex” in outside of atom or in periphery orbits). **The second type of** electron(dec(e-)):** when the electron is “ free “( outside of the atom ) has decelerating cross vortex (E2D-) inward, which generates an accelerating longitudinal vortex upward (H3D+). When electron is “free” (second type (dec(e-)), the decelerating cross vortex (E2D-) is broken. But accelerating longitudinal vortex (H3D+) radiates a fast ingredient that connects to the decelerating longitudinal vortex (H3D-) at input of the proton. There is a significant difference in mass in the states of a bound electron and a free electron. For example scientists measure the mass of a” free “electron with a decelerating cross vortex (E2D-). Actually **the mass of a” free” electron is more than of a bound electron.**

**The main result: (essence of the algorithm for Generator-****section ****II****).****The “free” electron resembles an eccentric inflated cross vortex or has the shape of an eccentric dipole. This eccentric dipoles are passive dipols. When****an accelerating vortex passes through this passive dipoles it will suck them in and increase its own mass and energy.**

**Results: (4 type of positrons).** It exists another two consequences (not described in the article), but they describe decelerating or accelerating cross vortices to outward. This is the 2 type of positrons: (dec(e+)) and (acc(e+)) positrons. We immediately obtain the models of **4 type of positrons**: ( dec(e+)) and (acc(e+)) that each of them pulsates in two modes: “expanded cross vortex” vortex and “shrunken cross vortex” , each of them pulsate in 3D : “in and out”. For the opposite transformation a new operator Δ2 is introduced to transform a longitudinal (H3D) into a cross (E2D) vortex. The physical nature of this Δ2 transformation is quite different in comparison with Δ1. The transformations Δ1 and Δ2 are orthogonal, rather than symmetrical to each other.

**Law 2****: The open longitudinal vortex (H3D) (inward or outward) generates an open cross vortex (E2D) in its center through a longitudinal-cross transformation ****Δ****2:**

** ****Δ****2**

** Vor (H3D) => -- Vor (E2D) 4.**

**Consequence:** The open decelerating longitudinal vortex (H3D -) inward generates an open accelerating cross vortex (E2D +) outward. This action takes place in the center of accelerating cross vortex (E2D +) through a particular longitudinal-cross transformation Δ2-: . **Δ****2-**

**Vor (H3D -) => Vor (E2D +). 4a. **

**Results:** **(4 tipe of proton p+). **We immediately obtain the models of 4 types of protons: (dec(p+)) and acc (p+), which each of them pulsates in two modes: “expanded cross vortex” and a “shrunken cross vortex”, each of them pulsate in 3D : “in and out”. The Consequence of Law2 in 3D refers to the **pushing part** (Figure2d) of the pair of complementary objects (Figure2c – Figure2d). The transformation Δ2- emphasizes that the movement of the longitudinal vortex (H3D) inward is the cause, but the movement of the cross vortex (E2D) outward is the result (Figure 2d).

** Results: (Gravity Funnel). **When the Consequence of Law2 are generated by the pipe – wrapped longitudinal vortices, it describes Gravity field. It has the inverse properties to the Electromagnetic Field. This Gravity field exists as a tube from inserted one in another the longitudinal vortices. It forms a Gravity funnel which has a pushing and a pulling ends. In this case the down end of Gravity Funnel (H3D -) has pushing effect because the pushing end of Gravity funnel is attached to the pushing part (Figure2d) of the pair of objects (Figure2c – Figure2d) This end decelerates in 3D direction and generates in 2D plane (perpendicular to 3D) cross vortex from inside to outside as a matter.

**Consequence:** The open accelerating longitudinal vortex (H3D+) inward generates an open decelerating cross vortex (E2D-) outward in its center through a special longitudinal-cross transformation Δ2+: **Δ****2+**

** Vor (H3D+) => Vor (E2D-). 4b. **

A necessary condition for generating of elementary particle dec (p+) is the presence of free cross vortices called “free energy”, and a sufficient condition is the longitudinal vortex to work (from out to in) as a mixer (Figure 2b). We immediately obtain the models of 4 types of proton: ( dec(p+)) and (acc(p+)) that each of them pulsates in two modes: “expanded cross vortex” and “shrunken cross vortex” and “in-out” .

**Results: (presence of free cross vortices or “free energy”). **A necessary condition for generating of elementary particle (p+) is the **presence of free cross** vortices called “free energy”, and a sufficient condition is the longitudinal vortex to work (from out to in) as a mixer. The existence of the electron (e-) is associated with the emission of free cross vortices in the surrounding space. If the Law 1 generates a simple and single longitudinal vortex, it would refer to the **Electromagnetic field**. If the Law 1 generates a pipe – wrapped vortices from accelerating longitudinal vortices inserted into each other, it really generates accelerating **Gravity Funnel**. If the Law 2 is generated by a pipe - wrapped vortices from decelerating longitudinal vortices inserted into each other, it refers to the decelerating Gravity Funnel.

**Results: (complementary objects). **The new extended meaning of the term “Complementarity” is when the two parts are generating and they act anti-phase - one push and the other pulls. The two transformations Δ1 (Law1) and Δ2 (Law2) are not symmetrical but rather form pairs of objects that complement each other in their action .So they form a pairs of **complementary objects** or they are mutually orthogonal. The two vortices in the described above vortex pairs (Figure 2c - Figure 2d) play the role of generators -one push (Figure 2d), the other –pulls (Figure 2c). Obviously in described above chain (Figure 2c-Figure 2d) there is not consumers. Therefore this chain has not energy losses. It is well known that in every Electromagnetic chain has generator and one or more consumers. That's why Electromagnetic chain has energy losses.

**Results**: (**nonparametric process). **Both transformations, Δ1 (Law1) and Δ2 (Law2), are not regulated by external regulator or external parameters. Therefore the processes are regulated only by internal laws and are not determined by outside parameters. Obviously the processes of acceleration and deceleration of the longitudinal vortex is a **nonparametric process**. Processes of accelerating and decelerating longitudinal vortices manifest both quantitative and qualitative changes [5]. This mechanism of amplification is known in cybernetics as Positive Feedback.

**Law 3:**** Accelerating and decelerating of the main vortex is going by internal logic as a nonparametric process through Positive Feedback. **

**Results: (redistribution in portions - quanta). **The Law 3 shows that velocity Vi increases by **redistribution** with cross vortices. There is also redistribution of mass. The mass of the cross vortices is added in portions (quanta) with acceleration to the initial mass of the longitudinal vortex with velocity Vi and thus accelerates it more and more. The accelerating longitudinal vortex sucks in more cross vortices from outside that accelerate further the longitudinal vortex with velocity Vi and so on. Thus the longitudinal vortex at output (Vi) increases its velocity and acceleration which returns at input. The reason is that it sucks in more cross vortices and increases of the acceleration and mass to the entrance.

**Results**:** (process runs as avalanche). **This **process runs as avalanche** until it reaches a saturation level where the acceleration becomes maximum (a max) for a time slice Δt. When, for example, an accelerating vortex sucks in with acceleration the cross vortex, then in start moment (t=0) its first derivative is minimum: a=0. However the accelerated absorption of the cross vortex increase and when in the end moment (t=tn) the positive acceleration of the cross vortex becomes maximum: amax >>0. The mass of this cross vortex is added to the longitudinal vortex accelerating it further (Figure 3b). It is an example of the **avalanche process**. In the next cycle the accelerated longitudinal vortex again sucks in a portion (quantum) of the cross vortex and so on. Through Positive Feedback the level of saturation constantly increases, the time interval needed for saturation becomes longer, etc. Positive Feedback turns the described above avalanche process from an amplifier to a generator process.

**Results: (Positive Feedback, simultaneous operation of two mutual dependent vectors). **The **Positive Feedback** in a longitudinal vortex turns the process of amplification to a process of generation. The Positive Feedback can be a base for constructing an energy generator. As we saw above there are two qualitatively different movements at each (i) point p (i) of the decelerating vortex E: longitudinal vector velocity (V) and cross vortex with amplitude (W) (Figure 1,b).The reason of that is the vector E is not a simple vector but it is a complex vector (Figure 1,e,g).

**Results: (simultaneous operation of two mutual dependent vectors). **According to the Classical Mechanics, the simultaneous operation of two independent vectors is equal to the sum of these vectors. But according to the New Axiom, **simultaneous operation of two mutual dependent vectors** is **equal to the multiplication of these vectors. **According to the Law 3, the transforming one vector (V) into a vortex (W) and vice versa is a nonparametric process.Transformation is done by internal laws but not by outside setting. The nonparametric transformation of two variables V (t) and W (t) is mathematically described by the product **V (t) .W (t)** of these variables. We have seen that at each (i) point of the vortex E there is simultaneously a vector velocity (V) in 1D and vortex pressure (W) in 2D (Figure1b). In the case of the decelerating longitudinal vortex the velocity decreases (V-), while the amplitude of the cross vortices increases (W+) in such a way that their product (V-). (W+) remains constant all along the longitudinal vortex. The **product (V-).(W+) is proportional to the power(P-) **of the decelerating longitudinal vortex (Figure 3a). In the case of the accelerating longitudinal vortex the velocity increases (V+), while the amplitude of the cross vortices decreases (W-) in such a way that their product (V+).(W-) remains constant all along the longitudinal vortex. The product (V+). (W-) is proportional to the power (P+) of the accelerating longitudinal vortex (Figure 3b).

**Law 4:**** For an uneven (accelerating or decelerating) vortex the product between current velocity (Vi) of longitudinal movement on one and the same current lineand current amplitude (Wi) of its perpendicular cross vortices is a constant in every (i) step :**

** (Vi) . (Wi)= const. 5. **

where i= 0 ÷ ∞ is current point from step to step.

The product (Vi). (Wi**) **is proportional to the current power (Pi) of the uneven vortex in current (i) step (Figure 3a). The currentpower (Pi) of the uneven vortex is a constant in every (i) step (Figure 3a,b,). At a decelerating vortex vector velocity (V) is transformed according to internal law into the amplitude of the cross vortex (W) (Figure 3b). At a accelerating vortex vector velocity (V) is transformed according to internal law into the amplitude of the cross vortex (W) (Figure 3c). We saw in the previous point that at a decelerating vortex vector velocity (V) is transformed according to internal law into the amplitude of the cross vortex (W) (Figure 3 a,b). More precisely- the reduction in speed (V) is transformed into an increase in the amplitude (W) of cross vortices.

**Figure 3: **Decelerating-accelerating vortices.

**Law 5****: The deceleration vortex in 2D is described with a system of 2 equations in which: longitudinal velocity (V) decreases in (n) portions (ψ ^{n}) times; the amplitude (W) increases in (n) portions (ψ ^{n}) times: **

** I V(t) ^{2}= V_{0 }(Vo – V(t)), 6. **

** I W(t) ^{2 = }W_{0}(Wo +W(t)), **

where v_{n}, w_{n} n are periodic roots with period n; v_{n}, w_{n }are **mutual orthogonal** that fulfill the requirement for orthogonality: **v _{n.}w_{n }= V_{0}.w_{0}, v_{n.}ω_{n}= V_{0}.W_{0}**; n = 0 ÷ ∞; the roots v

**Consequence:**** The deceleration vortex in 3D is described with a system of 4 equations in which: longitudinal velocity (V) decreases in (n) portions (ψ ^{n}) times; the angular velocity (w), the amplitude (W) and the number (N) of cross vortices increase in (n) portions (ψ ^{n}) times: **

** I V(t) ^{2}= V_{0 }(Vo – V(t)), 6a. **

** I W(t) ^{2 = }W_{0}(Wo +W(t)), **

** I w(t) ^{2 }= w_{0 }(wo+ w(t)) **

** I N ^{2} = N_{0} (No+ N ) **

where v_{n},w_{n} are periodic roots with period n; v_{n}, w_{n }are **mutual orthogonal** that fulfill the requirement for orthogonality: **v _{n.}w_{n }= V_{0}.w_{0}, v_{n.}ω_{n}= V_{0}.W_{0}**; n = 0 ÷ ∞; the roots v

** It is noteworthy that: **When starting number N_{0} =1 the number n_{n} is calculated with the row: 1;1.62; 2.62;4.25; 6.88, 11.15,;18.07; 29.28;47.43,...The closest integer[n_{n}] form row:_{:}1,2,3,4,7,11,18,29,47,..For comparison, **Fibonacci's order** is: 0,1,1,2,3,5,8,13,18,21,34,… Obviously there is a similarity between the two rows at the beginning. But finally (after 18^{th}) the number [n_{n}]**rises sharply **(29>21, 47>34,…) compared to the **order of Fibonacci.**

A decelerating vortex (E_{2D}-) with a velocity vector (V) **emits **to the environment decelerating vortices with increasing amplitude (W) **(because of sign+in second equation of system3, 3a). **The amplitude (W) increases **in perpendicular direction** to the velocity vector (V). In decelerating longitudinal vortex, the amplitude (W) increases only if it is directed from the inside to the outside, ie. if the decelerating vortex emits outward cross vortices with increasing amplitude (W) (Figure 3b).

**Results:****(left rotating wheel). **The emitting of decelerating cross vortices to environment in perpendicular direction forms so called “quanta” and this process is called “quantum”. According to the Law1 and Rule of the Right Hand, the decelerating cross vortex (E) generates at the center to outside (to left) a longitudinal vortex (H). So at every n_{i} point **forms left rotating wheel** perpendicular to the velocity (V). Therefore, the decelerating longitudinal vortex in 3D forms left rotating spiral (left-counterclockwise when observer watches against the movement) (Figure 3b). Decelerating longitudinal vortices rotate counterclockwise (-), watched against the movement (Figure 3b). Because of increasing of the amplitude (W) the angular velocity (w) and the number of cross vortices (N) it forms decelerating, **thickening and expanding** **left rotating Funnel** in which: **W _{max}; w_{max}; N_{max}**.

**Result: (right rotating decelerating spiral). **The increasing the angular velocity (w) and the number of cross vortices (N) are in every next wheel. When the observer look against the direction of moving, he will percept the whole spiral as** rotating** **to right spiral**. Two or more decelerating longitudinal vortices repel each other .The reason is due to the emission of cross vortices from center to outside*.*

**Law 6****: The acceleration vortex in 2D is described with a system of 2 equations in which: longitudinal velocity (V) increases in (n) portions ( ψ ^{n}) times; the amplitude (W) decreases in (n) portions (ψ ^{n}) times: **

** I V(t) ^{2}= V_{0 }(Vo +V(t)), 7. **

** I W(t) ^{2 = }W_{0}(Wo –W(t)), **

where v_{n}, w_{n} are n periodic roots with period n; v_{n}, w_{n }are **mutual orthogonal** that fulfill the requirement for orthogonality: **v _{n.}w_{n }= V_{0}.w_{0}, v_{n.}ω_{n}= V_{0}.W_{0}**; n = 0 ÷ ∞; the roots v

**Consequence:**** The acceleration vortex in 3D is described with a system of 4 equations in which: longitudinal velocity (V) increases in (n) portions (ψ ^{n}) times, the angular velocity (w), the amplitude (W) and the number (N) of cross vortices decrease in (n) portions (ψ ^{n}) times: **

** I V(t) ^{2}= V_{0 }(Vo +V(t)), 7a. **

** I W(t) ^{2 = }W_{0}(Wo –W(t)), **

** I w(t) ^{2 }= w_{0 }(wo+ w(t)) **

** I N ^{2} = N_{0} (No+ N ) **

where v_{n}, w_{n} n are periodic roots with period n; v_{n}, w_{n }are **mutual orthogonal** that fulfill the requirement for orthogonality: **v _{n.}w_{n }= V_{0}.w_{0}, v_{n.}ω_{n}= V_{0}.W_{0}**; n = 0 ÷ ∞; the roots v

The first positive root of the second equation (of 3,3a,4, 4a) is: **w _{1}=(1/ψ.)W_{0} = 0,62.W_{0}**. The periodic roots of the second equation (3,3a; 4, 4a) are obtained from the expression:

**Results: (suck in free cross vortices)**An accelerating vortex(E_{2D}+) with a velocity vector (V) sucks in accelerating vortices with decreasing amplitude (W) in perpendicular direction** (because of sign - in second equation of system 4a)**.The sucking of accelerating cross vortices from environment in perpendicular direction forms so called “quanta” and this process is called “quantum”. According to the Law1 the accelerated cross vortex (E_{2D}+) generates (sucking) to its center a longitudinal vortex (H_{3D-}) from the outside to inside (to the right). At each point (i) a right rotating wheel is formed. The spiral vortex in 3D is formed as a right rotating spiralTherefore, the acceleration vortex will twist to the right – clockwise (+), viewed against the movement .Accelerating longitudinal vortices wind clockwise(+),watched against the movement (Figure 3c). Because of the amplitude(W),angular velocity (w) and the number of cross vortices( N ) decreases it forms accelerating, **stretching , narrowing, right rotating Funnel** in which: W_{min ,} w_{min , }N_{min}(Figure 3b).Thereforetwo or several accelerating longitudinal vortices, due to the suction of cross vortices, attract each other*. ***The similar approach was used by Nikola Tesla (1931) in the creation of “free energy” generator that was installed in “Pierce –Arrow Corporation” car instead of previous gasoline engine**.

**Nicola Tesla has used the term “free energy” in the sense of environments energy**. In the current invention, this term is expanded as the free cross vortices, which fill the environment, for example around the Electromagnetic circuits. If an acceleration movement vortex passes through this space that is full with free cross vortices, it would suck in the free cross vortices. The free cross vortices would add their masses and energy to the original acceleration movement vortex and it would accelerate itself much more. Tesla has observed these phenomena in nature: If we observe a river that spills slowly along the plain, it emits water flows from the inside out forming sediments, shallows and islands. If a river descends on a steep slope, it sucks small water streams from outside to inside, undermines the shores of the slope and it forms canyons.

So called” free energy “are manifestation of free cross vortices that exist in environment. The free cross vortices exist around every Electromagnetic devices including around of Electromagnetic antennas [3]. According to the New Axioms and Laws the free cross vortices are created by decelerating main cross vortex in generation process of the matter and exist around every matter particle. Every matter generation process is decelerating process. The reason is that the matter is created by decelerating cross vortices and decelerating cross wave is spreading crosswise with energy loss [10]. Therefore free cross vortices exist around every matter in our space-time that is spreading crosswise and where time is constant (t=const.) [1]. Usually free cross vortices exist as the eccentric vortices. The closed eccentric vortices look like to "**static dipoles**". But when accelerating motion occurs near them, they become to" **dynamic dipoles".** The static dipole becomes to the dynamic dipole as it open its vortex from inside to outside. They are opened and are moved towards the accelerating motion that sucks them.So called “free energy” are manifestation of free cross vortices that exist in environment. The free cross vortices exist around every Electromagnetic devices including around of Electromagnetic antennas [3].

According to the New Axioms and Laws the free cross vortices are created by decelerating main cross vortex in generation process of the matter and exist around every matter particle. Every matter generation process is decelerating process. The reason is that the matter is created by decelerating cross vortices and decelerating cross wave is spreading crosswise with energy loss [10]. Therefore free cross vortices exist around every matter in our space-time that is spreading crosswise and where time is constant (t=const.) [1]. Usually free cross vortices exist as the eccentric vortices. The closed eccentric vortices look like to "**static dipoles"**. But when accelerating motion occurs near them, they become to" **dynamic dipoles".** The static dipole becomes to the dynamic dipole as it open its vortex from inside to outside. They are opened and are moved towards the accelerating motion that sucks them. As the “free” electron resembles an eccentric inflated cross vortex, it has the shape of an eccentric dipole. These eccentric dipoles are passive dipoles.

**When****an accelerating vortex passes through this passive dipoles it will suck them in and increase its own mass and energy. We can construct Generator using the Free Energy that exists as free eccentric passive dipoles in environment.**

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