Method for Low –Energy Nuclear Reaction (LENR) Using Gravity Accelerating Funnel

A Clarification

A Scientific News (Zyga, 2008)[3].

“Physicists from Osaka University have demonstrated a cold fusion reaction. Scientists claim that they have managed to "make" two deuterium nuclei turn into a helium nucleus at room temperature, reports the electronic publication New Energy Times. A large amount of energy is released during the nuclear fusion reaction. Until now, however, physicists could not carry out this reaction under the conditions of low temperature and pressure. Japanese physicists, led by Prof. Yoshiaki Arata, claim to have found a way to trigger the reaction without extreme conditions. The researchers brought the deuterium atoms close enough for the reaction to occur using an absorbent substance. The deuterium is fed into a "cell" containing a mixture of palladium and zirconium oxide”.

A substance is usually used, for example, a mixture of palladium and zirconium oxide, called an absorber. It strongly absorbs a certain amount of deuterium atoms. Some of these atoms stick without using high pressure and temperature - they stick in the cold. They must form helium nuclei, during which a huge amount of energy is released in the form of heat. This approach of Prof Yoshiaki Arata from Osaka University is still hypothetical and because it is not clear whether the result is obtained from a nuclear reaction or rather - from a chemical reaction.

The Method of LENR , according Open Vortex Theory:

(Axiom1, Axiom2, Law1, Law2, Law5, Law6)

a) A Classic Axiom

It is known that the Classic Field Theory is based by Maxwell’s Laws (1864) and on a single Classic Axiom (Figure1a) .It claims that the divergence from the rotor of any smooth vector field E is always equal to zero : div rot E = 0 or ∇(∇×E)=0 . It ideal explanes Electromagnetic field as a smooth and evenly field and it makes Maxwell’s Laws valid Maxwell’s Laws .There the velocity V of tangent vector E equals a constant V(E) =const.,because vector E describes closed circle [1].

b) The new Axiom1

The previous studies of this author attempt to expand the Classic Field Theory to a more general Theory of Extended Field.The author change this Classic Axiom and adapts it to uneven or not-smooth field that moves with V( E) ≠ const. (Figure1b,c,e)[2].

Axiom1 states that the movement of a vector E in an open loop (div rot E ≠ 0 or ∇(∇×E) ≠0) or in an open vortex (div Vor E ≠ 0) the velocity is variable: V( E) ≠ const. It describes the unevetly movement of vector E in not-smooth field with monotone-decreasing or monotone-increasing velocity along an open circle : div (Vor E)>0 or div (Vor E)<0 in 2D, div (Vor H)> 0 or div(Vor H)<0 for 3D

Result: In not-smooth or uneven field velocity V of vector E is variable: V( E) ≠ const , or it can be monotonous - accelerated or decelerated.

Result: This new uneven field describes Gravity field including so called field of Free Energy. This the uneven, not-smooth field is different than even, smooth Electromagnetic field( including field of Light waves) because it describes Open Vortices.

Result: There are 4 types of O Open vortices: a transverse vortex in 2D (E2D) that can be accelerated (E_2D +) or decelerated (E_2D-) (Figure1c) and a longitudinal vortex in 3D (H_3D) that can also be accelerated (H _3D+) or decelerated (H_3D -)(Figure1d) [4,5] .

We are accustomed to the wrong image of a spiral with a constant distance between the turns (Figure1a). Because if the spiral is opened , it must has variable tangent velocity and this causes to be eccentric. The reason is in the acceleration of E.If spiral is decelerating , it must be eccentric like this in Figure1b [4].

Figure 1: The Open Vortex Theory (or Theory of new Axioms and Laws)

a) Classic Axiom as Closed Loop; b) New Axiom as Opened Loop (vortex); c) Transverse Vortices (Decelerating and Accelerating); d) Longitudinal Vortices (Accelerating and Decelerating); e) Decelerating Main Vortex Emits Decelerating Primary Vortices (to out); f) Accelerating Main Vortex Sucks Accelerating Primary Vortices (to in).

Result: The open vortex is always eccentric.

For example, in “real” decelerating vortex E1> E3 and the Geometric Center (O ) will aim to move to the larger vector E1 (up). In the same vortex E3> E4 and at the same time the Geometric Center (O) will aim to move to the larger vector E3 (to the left). Therefore, the Geometric Center(O) will move to a second quadrant or to the Gravity Center (G) (Figure 1b).

Result: In every (i) point (p) of open vortex there are two simultaneous movements: longitudinal movement as vector velocity (V) and transverse movement as amplitude (W) of Primary vortex.

At every (i) point p(i) of a decelerating vortex( E) there are two simultaneous movements: velocity vector (-V) and amplitude of the transverse vortex(-W).The two simultaneous movements (V and W) also exist at all points of the vortex. The transverse vortex (E2D -) is transformed into a longitudinal vortex (H3D+). This is accomplished through a specific operator (Δ1) for transverse -longitudinal transformation [4,5].

d) Law1 in 3D: An open decelerating transverse vortex (E _2D-) inward generates an open accelerating longitudinal vortex (H _3D+) outward. This action (H_3D+) takes place from the Gravity center (G) of decelerating transverse vortex (E_2D-)through a particular transverse –longitudinal operator for transformation Δ1-:

Results: It describes in 3D the model of electron.

A decelerating transverse inward vortex that generates in Gravity center(G) a longitudinal accelerating vortex or Funnel (Figure 2c).

c) Law 5 in 3D: The deceleration vortex(or Funnel) in 3D is described by 4 nonparametric equations in which: longitudinal velocity (V) decreases in (n) portions ( ψn) times; the angular velocity (ω) , the amplitude (W) and the number (N) of Primary transverse vortices increase in (n) portions (ψ n) times: V-1/ V = -V ₀ , W-1/W=+W₀, ω-1/ω=+ω₀ , N-1/N=+N₀ ,

Result: A decelerating vortex emits Primary transverse decelerating vortices (-Quanta).

A decelerating vortex (E_2D-) with a decelerating velocity vector (-V) emits to the environment decelerating vortices with increasing amplitude (+W) , because of positive sign (+)in second equation .The amplitude (+W) increases in perpendicular direction to the velocity vector (-V). In decelerating longitudinal vortex(-V), the amplitude (+W) increases only if it is directed from the inside to the outside (Figure 1e).

Result: The Law5 describes nonparametric process by a single internal parameter the Golden proportion ψ .At a decelerating vortex vector velocity (-V) is transformed according to internal Law 5 (v = (1/ψn ).V , ω =ψn.W ) into the amplitude of the transverse vortex (+W)[7]

e) Law 6 for 3D:

The acceleration vortex (or Funnel ) in 3D is described by 4nonparametric equations in which: longitudinal velocity (V) increases in (n) portions (ψn) times, the angular velocity (ω), the amplitude(W) and the number (N) of Primary transverse vortices

Result: The Law6 describes a nonparametric process by Golden proportion ψ.

At an accelerating vortex vector velocity (+V) (first equation) is transformed according by internal Law 6 into the decreasing amplitude of the transverse vortex (-W) (second equation ): 1/ψn.W0 (Figure 1g) [7]. For comparison: In the previous point we saw that at a decelerating vortex vector velocity (-V) is transformed according to internal Law5 into the increasing amplitude of the transverse vortex (+W) : ψn .W , (Figure 1e) [7].

When velocity (+V) increases, the amplitude (-W) decreases so that at each step (ni) the product (V_i). (W_i) is a constant.For an accelerating longitudinal vortex, the amplitude (-W) decreases only if it is directed from the outside to inside , ie. if the accelerating vortex sucks in Primary accelerating transverse vortices with decreasing amplitude (-W) (Figure 1g).

Results: The accelerating vortex suck in Primary transverse accelerating vortices (+Quanta).

When an outer accelerating vortex passes through volume full of many such Primary transverse vortices (Figure1f).According to Law 6 an outer accelerating vortex suck in them (Figure1g). As a result, the accelerating vortex increases much more . Its positive acceleration, mass and Power increases. The reason is that the accelerating vortex adds the mass and Energy from Primary transverse vortices or from accelerating Quanta(+Quanta). Thus an accelerating vortex (E 2D+) with a velocity vector (+V) sucks in accelerating Primary vortices with decreasing amplitude (-W) in perpendicular direction (because of sign (-) in second equation ) (Law6).

Result:The sucktion of accelerating free Primary transverse vortices is in perpendicular direction .The sucking of accelerating cross vortices from environment in perpendicular direction forms so called “ quanta “ and this process is called “quantum”.

Result:Accelerating vortex form accelerating right rotating wheels from Primary accelerating

transverse vortices.

The Primary accelerating transverse vortex inward (e+) generates by sucking to its Primary Gravity center (g) a decelerating longitudinal vortex (h-) from the outside to inside. At each point (p i) a right rotating wheel is formed.Thus the accelerating Funnel is formed by these current (i) wheels that rotate to right (clockwise (+), viewed against the movement (Figure 1g).

Result: The accelerating Funnel appears as stretching narrowing and right rotating spiral ( clockwise (+),watched against the movement. Because of the amplitude (-W), angular velocity (-ω) and the number of cross vortices (-N) decreases it forms accelerating, stretching, narrowing, right rotating spirals in which: W_min , w_min N_min (Figure 1g).

Result: Two or several accelerating longitudinal vortices attract each other ,due to the suction of transverse vortices and they form accelerating Funnel.

The reason is that two or several accelerating longitudinal vortices, due to the suction of Primary transverse vortices, attract each other. They attract each other as they insert one in another and form an accelerating Funnel.

Result: The accelerating vortices insert one in another.

In center inserts the fastest vortex, outside rotates vortex with less velocity and at periphery rotates vortex with the smallest speed. The reason for attraction is increasing the velocity with positive acceleration and is decreasing the amplitude of transverse vortices with positive acceleration as well (Figure 1f,g). The direction of rotation of the resultant Funnel is to right .It is caused by the accelerating transverse vortices to the right (Law 6).

Two accelerating longitudinal vortices( j and j+1) are attracted towards and Forse of attraction[jFi-(j+1)Fi] between them is right proportional to the margin between their momentary transverse accelerations [jA_i - (j+1)A_i ] : [jFi-(j+1)Fi ]~[jA_i-(j+1)A_i] where A i has bigger positive ( in sucktion ) transverse acceleration than A _i+1 .

f) Construction of accelerating Funnel

The faster longitudinal vortex is winded in a narrower tube (Figure2a). The slower longitudinal vortex is winded in a wider tube (Figure2b).The faster vortex (Figure2a) inserts into the slower (Figure2b).The reason is that the slower is winded in a wider tube and the faster is winded in narrower tube. The slowest vortex is winded in periphery of Funnel.Thus the slowest vortex that is located in the periphery of Funnel and accelerates itself as sucking environment’s free transverse vortices from environment around the Funnel. Every faster vortex is located in internal of Funnel. Therefore every more internal and faster vortex accelerates itself as sucking all adjacent transverse vortices of the slower adjacent more external vortex.

A Proposal the Method of Low Energy Nuclear Reaction (LENR)

a) Simulating an input twisted longitudinal Funnel

Let we simulate generation of an accelerating vortex or accelerating Funnel by rotation of decelerating transverse vortex (by mimicking of Law 1) . We can use snail form .A longitudinal Funnel should be fed at the input of snail.This longitudinal Funnel should be slightly twisted to the left ,if see against the movement (Law5). The twist should be consistent with the length of the snail. If the length of the snail is ( L) then the twist should be 180 degree or : (π/2)/L. It start from the lowest point in input of tube to hightest point at innermost of tube (Figure2d).

b) Snail

Snail contains a Camera with Nozzles.The decelerating transverse Primary vortices aimed at Gravity center(G) and generate perpendicular accelerating longitudinal Funnel in it (Figure2d). Through Nozzles is emitted the Primary transverse vortices and form their Full Resonance.The dimensions of snail are calculated as a function of the longitudinal (V) and angular speed (ω) of the flow from the input Funnel(Law5).This flow will be delayed due to friction. The exact locations of the transverse vortices (W) and places of Nozzles should be calculated .The Nozzles with the appropriate inclinations ( £ ) and diameters (d) of the opening holes should be placed at these locations. Primary transverse decelerating vortices emerge from the Nozzles to the internal Camera for Primary transverse vortices toward Gravity center(G) (Figure2d).

Figure 2: The Method of LENR,

The fastest vortex, b) The slower vortex, c) Result is an acceleratingFunnel, d)Simulating of Snail

c) Generating the accelerating longitudinal Funnel

Primary transverse decelerating vortices form Full Resonance in Time and in Space.They accumulate in successive moments in Time at the same place of Space in the Cammera, called the Gravitational center (G). The Gravitational center is offset from the Geometric center (O) by a distance vector equal to the Eccentricity vector (OG)(Figure 1b)). Therefore, the Gravitational center (G) is in the second quadrant (II)of the coordinate system ,while the Geometric center (O) is in the very center of the snail. I can mention that this Eccentricity vector is the reason for creating a system of mutually orthogonal object (electron-proton or Earth- Sun) where electron rotates around proton and Earth around Sun.Accumulating in the Gravitational center (G), the Primary transverse decelerating vortices generate a perpendicularly accelerating longitudinal Funnel (Law1) (Figure2d) [ 6].

d) Reason for generating the accelerating longitudinal Funnel.

The twisting of the inlet Funnel by 180 degrees causes the Primary transverse vortices to accumulate on top of each other. This happens as at the snail tube, a transverse Primary decelerating vortex is emitted through the Nozzles.The first Nozzle emits Primary vortex with a minimal length (W 0) is at the lowest position in axis ( z). From the second Nozzle, a second Primary decelerating vortex with a larger length (W 1) is emitted and it is wound higher than the previous one in axis ( z). From the third Nozzle, a third Primary decelerating transverse vortex with an even larger length(W2 ) is emitted, which is wound at the top in axis ( z ). And so on until the last innermost Nozzle, which emits a transverse vortex with maximum length (Wmax ) and is wound at the toppest inaxis ( z ).Thus, a double effect is obtained: First, the increase in the amplitude (Wi ), according to Law 5 pushes the Geometric center(O ) to the second quadrant (II), or it is pushed to the Gravity center (G).Second, the Primary transverse decelerating vortices are superimposed on each other along the z- axis. This happens by performing 2 changes simultaneously according to Law 5: While their amplitude (W) is lengthened, the number of their turns (N) is increased.So the first circle has a short amplitude (W 1 ) and a small turn (N/2) but with big radius (ω1,max).The second circle is located above the first one, but has a longer amplitude (W 2 ) and a larger turn (N.4/5) with less radius(ω 2) .The third one is located above the second one and has an even longer amplitude (W 3) and more than one turns (N .5/4) with much less radius(ω 3) in the center and so on. The last one ( the innermost one) will be at the top of z-axis and has the longest amplitude ( W_n,max ) with several transverse turns (N.n) with the least radius( ω_n,max) in the center , where i=0- n.

Result: The reason is decreasing of radius (- ωi) ,increasing the acceleration (+Ai) and turns (N.n) , the result is generating of perpendicular accelerating longitudinal Funnel.

As result many Primary transverse vortices geneate along z-axis an accelerating perpendicular longitudina vortex ( according Law1) [5,6].

e) In External Camera

Let we pass the accelerating Funnel through an external Camera . It is full with saturated deuterium (2H).When accelerating Funnel passes through deuterium medium then it attracts deuterium atoms to itself (Law6). The positive acceleration of Funnel attracts and glues 2 deuterium atoms with each other.

Result: In room temperature 2 atoms of deuterium (2H) stick in helium (He).

Thus in room temperature acceleration synthesizes helium (He) with the release of Energy as complex Energy .It includes an Energy of light and an Energy of warm.

Result: Radiation of complex Energy includes both the emission of a flux of light and a flux of heat. In room temperature positive acceleration of Funnel fuses helium (He).

Result: The result of synthesis of helium (He) is the reliese of complex Energy.

The reason is that many of the atoms of the deuterium are attracted to the longitudinal Funnel with a force (F) proportional to the acceleration (A) and inverse proportional to amplitude (W) of transverse accelerating vortices and number of turns (N) (Law6): F=F(A) =F(1/W)=F(1/N).Thus atoms of the deuterium are dragged and stick together . Part of them fuse and form helium.

Result: The process of fuse cools the medium of external Camera due to suction out–in.

Then the synthesis process itself releases complex Energy that includes light and warm Energy.

Result: In room temperature positive acceleration of Funnel fuses helium (He).

Thus the process is carried out at normal temperature and does not need additional heating.

Result: The process of fuse only needs a significant positive acceleration by accelerating longitudinal Funnel. This positive acceleration suck in Energy from environment and even cools (not warms) the medium (Law 6) (Figure 1g, Figure 2d) [4, 5].

Conclusions

Conclusion: The reason for Cold Nuclear Fusion is a significant positive acceleration of Funnel, the result is emition of complex Energy.

This conclusion is analogous to the conclusion about Gravity, namely: According Open Vortex Theory(OVT) the cause of Gravity attraction or repulsion is the positive or negative acceleration of the Primary transverse vortices emitting or sucking by longitudinal Funnel (Law6, Law5).The Result is Acceretion disks [6].

Conclusion: The reason for Gravity Force is acceleration of Funnel, the result is distortion of Space around Funnel (the bifurcation of nonlinearly located Accretion disks).

Conclusion: It is opposite-Gravity Force according Open Vortex Theory that is an accelration of longitudinal vortices and Gravity Force according Classic Theory that is a distortion of Space by to Accreation disks.

Conclusion: In Open Vortex Theory the reason is dynamics in Time as change (acceleration of Open vortices) and in Classic Theory the reason is statics in Space as description (dimentions and location of atoms or irregularity in structure of Accretion disks).

The Algorithm of Model

#The problem is in generating an accelerating vortex or Funnel! In practice we can generate a longitudinal accelerating vortex imitating the result of Law 1 on base of Open Vortex Theory (or of new Axioms and Laws). How an accelerating vortex is generated according to the OpenVortex Theory is shown in a previous works by the same author [6].

According Law1 the decelerating vortex (in 2D) from outward to inward generates an accelerating vortex (in 3D) in Gravity center(G), perpendicular to the plane (2D) of decelerating vortex. The reason is that decelerating vortex in plane 2D, that forms decelerating toroid emits (Law5) many decelerating vortices to its Gravity center (G). In decelerating toroid this emitting Primary decelerating vortices has direction from peiphery of toroid to Gravity center (G) of this toroid (in 2D). The result is accelerating perpendicular Funnel from center to up (in 3D) (Figure 2d)[5 ].

#Snail: The main construction is to assemble such snail as toroid , so that the emitted decelerating vortices sume and resonate at one point of the Gravitational center (G).

#Complex Resonance: This resonance must be Complex Resonance. It is resonance in Space(S) and resonance in Time (T). This means that the decelerating vortices must superimpose their hooks on each other at one point of Space (S) called Gravity center (G) and sequentially over Time (T). Thus they superimpose their hooks sequentially over Time (T) on each other in the one and the same place in Space (S), called Gravity center (G) (Figure 2 d) [6].

Result: Only by Complex Resonance an accelerating Funnel is generated in Gravity center

#Twist: It is known that the decelerating vortex emits Primary decelerating transverse vortices ( Law 5). It is necessary to superimpose the circles from the hooks of the Primary decelerating transverse vortices, emitted by the main decelerating longitudinal vortex one above the other. This means that a decelerating input Funnel in entrance of snail to be a slightly twisted (Figure 2d).

Result: It is necessary to twist left from bottom to top of 180 deg. ( π rad.) for a distance of 1 snail length (L), when viewed against the movement: π rad/L.

Thus the Funnel in entrance of snail is slightly twisted to the left on (π).

# Especially arrangement of circles: Let's denote D_i is diameter of transverse turns, A_i is acceleration of angular speed. The reason of Full Resonance is that the diameter (Di) decreases but acceleration (Ai) increases of each subsequent (i) turn of hook. Thus, every subsequent ,current turn in time (T_i+1) has less diameter (D_i+1) and more acceleration (A_i+1). It formes above the previous in time(T_i) circle that has less diameter(Di ): D_i+3 A _i+2 >A _i+1 >A_i : at current time (Ti ): ...T_i+3 >T_i+2 >T_i+1>T _i .

#Acceleratior along z-axis: The Funnel of circles with decreasing radius (ω i) and increasing acceleration (Ai) appears a very special arrangement .It includes the less circle to be above bigger circle or every less circle to stay above every bigger circle. Namely this arrangement acts as an Accelerator. It emits and accelerates the central perpendicular Funnel (Figure2d) [6].

Result: An Acceleratior is constructed as a longitudinal accelerating Funnel of transverse circles that they are stacked one on top of the other along the z-axis.

The reason is that circles have a decreasing diameter (-D), increasing acceleration (+A) at each subsequent moment (Ti). Circles stack their transverse vortices one on top of the other along the z-axis. Thus is generated an acceleration along z-axis .This action coinsides to Law1, according Open Vortex Theory. Generating a Force from the bottom up is equal to creating an Antigravity Force from the bottom up [6].

Result: The accelerating Funnel plays role of Generator of Antigravity Force.

References

1. Lev Davidovich Landau, & Evgeny Mikhailovich Lifshitz. (1980). The classical theory of fields (4th ed., Vol. 2). Butterworth-Heinemann.
2. Valentina Markova. (2003–2005). The other axioms (Books 1& 2). Nautilus.
3. Lisa Zyga. (2008). Physicist claims first real demonstration of cold fusion. Retrieved from Phys.org article
4. Valentina Markova. (2015). New axioms and structures.Fundamental Journal of Modern Physics, 8(1), 15–24.
5. Valentina Markova. (2017, December 11–12). A generator using a tube of longitudinal accelerating open vortices nested one inside the other for positive feedback. In Proceedings of the 3rd International Conference on High Energy Physics, Rome, Italy.
6. Valentina Markova. (2018, August 2–3). Antigravity device modeled on basis of new axioms and laws. In Proceedings of the 6th International Conference on Aerospace and Aerodynamics, Barcelona, Spain.
7. Valentina Markova. (2025). Causal description of natural system according theory of new axioms and laws. Advances in Theoretical & Computational Physics, 8(4), 01-07.