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Gravity

physics


Gravity

A NEW APPROACH TO GRAVITY - EINSTEIN'S PERIHELION EFFECT RE DERIVED. Submitted to "Physical Review Letters" in Feb.,2001.



Abstract 


   Newton considered gravity as an interaction between two masses: one mass interacts with the other mass directly without any role for the space in which they move. Newton's concept of gravity was completely modified when Einstein considered gravity as an effect arising due to the action of mass on space. Extending this concept, here in this paper we consider gravity as an effect of the action of space on mass and we postulate repulsive forces between any two particles due to their spins. Based on these concepts, we discuss the nature of planetary orbits around the sun. Using Lagrangian method of classical mechanics, we show that the planetary orbit cannot be a closed ellipse but has to have perihelion effect. Finally, we suggest the possibility of certain implications of our theory in the study of particle physics, gravitational collapse, cosmological constant and cosmology.

Keywords: Space, Gravity, Repulsive Force, Perihelion, Spin.

1. Introduction


 The Theory of Relativity which made its author, Albert Einstein, a man of this century drastically modified the paradigm of Newton by reducing his four independent quantities, namely Space, Time, Matter and Energy to just two. The Lorentz transformation merged Space and time into a four dimensional space-time continuum and the relation E=mc2 merged mass and energy into energy-momentum four-vector. The paradigm of Einstein led him to consider gravity as a parametric effect (curvature effect) of the space-time continuum. The phenomenal success of Einstein's gravitational field equations eventually led him to work for a further unification of his two independents and thus was born his unified field theory approach. Though he did not have complete success in this regard, his idea of unified field in terms of which every physical phenomenon can be explained, has come to stay and one can see in the recent literature a number of proposals postulating such a field and developing the physical laws from that. The self-interacting scalar field of Chervon et al [1], the decaying vacuum Cosmologies [2], the 'Absolute' space theories of Nuthakki [3], the creation field of Quasi Steady State theory of Narlikar [4], Winterberg's vacuum with discrete substructure at the Planck scale [5], squeezed vacuum state concept of Hong yi Fan and Min Xiao, and its application to early universe [6], Osmaston's Continuum ether theory [7] wherein fundamental particles are considered as special, rather (but finitely) concentrated rotational forms of disturbance of the continuum, the concept of Zero Point Field (ZPF) of Haisch [8], et.al. the scalar theory of Arminjon, et.al. [9,10] wherein the gravitation is characterised by the gradient of an "ether pressure", a plenum of negative Gravitational energy proposed by Brout et. al. [11] are a few samples of unified approach. Though these approaches vastly differ in their basic postulates and the operational details, their methodology is the same: namely to propose a basic state with certain attributes, to evolve a body of mathematical logic or theory from these postulates and apply the theory to the study of physical phenomena. To propose a basic state and to see the physical phenomena as arising from that state, essentially represent a monastic approach in science. Hence in such cases, one can hope that the monastic philosophy of great thinkers will be of guidance in postulating the nature and the evolutionary character of the single basic state. From his philosophy especially from his definition of the nature of space and the fundamental particles [12], we propose a set of postulates from which, we build a mathematical theory.

2. A New Approach To Gravity


 According to Newton, space is a passive background in which material objects move. Einstein's General Theory of Relativity redefined space from a passive background to an active participant in the dynamics of the Cosmos. In essence, Einstein realised a quality of space which Newton did not. Going further, the following qualities of space are proposed here as a set of postulates:

   1. Space is characterised with an inherent self-compressive force whose intensification results in the formation of a spinning quantum of space which we call a fundamental particle. Such free fundamental particles are present throughout the physical universe in the so-called vacuum, and constitute what we call the free particle medium.

   2. Every particle due to its spin motion produces a spreading wave around it through space and the force of this spreading wave impinging on another particle tends to increase the distance between them. This interactive repulsion between any two particles is proportional to the spinning speed of the particles. With regard to the postulate 1) above, we are to state that when we propose a single state and develop the formation of structures from that state, it is logical that this state contains a built-in mechanism to produce the fundamental particles of which further structures are made. This built-in mechanism is postulated here as the self-compressive nature of space. The self-compressive nature of the space tends to decrease the distance between any two particles and thus the inherent self-compressive force of space itself is gravity. Postulate may be seen as a kind of distant reference to the repulsive force introduced by Einstein through his cosmological constant [13]. The above concept of gravity can be contrasted with already existing theories of gravity as follows: When Newton observed two masses coming together (the legendary apple and earth) he placed the cause for the observed effect on the masses and hence, he proposed the Universal law of gravitation: Every particle attracts every other particle with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them. When Einstein formulated his Special Theory of Relativity, he found that Newton's theory of gravity is not compatible with his Special theory. Newton's concept of instantaneous action at a distance implied Absolute or Universal time which Einstein's Special theory had abolished in favour of personal or relativistic time. Einstein was aware of this 'conflict' in 1907 itself while he was still at the patent office in Bern but did not take serious note of it until he was at the German University in Prague in 1911. A few years later, Einstein and Grossmann put forward the idea that gravitational force is a manifestation of curvature in space-time. Stated another way, according to Einstein, gravity is the effect of mass on space. By contrast, here we consider gravity as the effect of space on mass. The role of space in the dynamics of cosmos has been progressively upgraded. As already stated, Newton considered space as a passive background; Einstein considered the same as an active medium for the gravitational interaction between two systems and attributed a mechanical property (curvature) for the same. In this paper gravity is considered as the inherent property of space itself. The significance of our formalism lies in its assertion that the gravity is not the property of the particle but is an inherent quality of the space itself.

3. Application To Planetary Motion   


 Before we proceed to present an application of our concept of gravity, for the sake of ready reference and comparison, we present a brief account of Newton and Einstein's formalisms regarding the study of Planetary orbits.

    * Newton's Formalism:

           The planetary motion has been extensively studied in classical mechanics as a two-body problem in a central force field. Describing the motion of a test particle around the sun by the two co-ordinates r and f, a Lagrangian is written and from that, Lagrangian equations are formed.

Solving these equations, a differential equation between r and f is obtained as,

        d2u/dØ2 + u = -(1/q2u2) F(r), with u=1/r                               (1)

where q is the orbital angular momentum of the test particle.

From Newton's law of gravity, we have F(r)= - k/r2 (where k is a constant involving the gravitational constant G) and  hence eqn (1) becomes [14],

        d2u/dØ2 + u = k/q2                                                                 (2)

Equation 2 represents a conic. Under certain initial conditions, the Conic becomes a closed ellipse. The perigee and apogee turning points of the elliptical orbits can be a well illustrated in a graph between the effective potential (Veff) and the distance r.

The effective potential is given by the relation. Veff = - k/r + q2 / 2m r2 (2a)

    * Einstein's formalism

          
The study of planetary motion, in Einstein's formalism, becomes a theory13) in a curved space-time structure, the mass(M) of the sun being the cause of the curvature. The motion of a planet in such a curved space takes place along its geodesic given by the equation,

          d2 Xa / ds2 + dXb/ds dXg/ds = 0                                       (3)

The Christoffel symbols are determined by the Schwarschild metric expression given by,

        ds2 = (1- 2GM/r) dt2 - (1- 2GM/r)-1 dr2 - r22 - r2 sin2ødØ2         (4)

From eqn(3) follow four relations for a =1,2,3,4; using these relations the equation for the orbital path of the test particle around the sun is obtained as, 

        d2u/dØ2 + u = k/q2 + 3ku2                                                           (5)

The non-linear term 3ku2 prevents the ellipse from being closed and hence gives rise to the perihelion effect. Eqn (5) is solved by the use of an approximation and the perihelion effect (µ GM) is determined [13,15].

    * Vethathiri formalism

         The study of planetary motion presented in this paper proceeds from the second postulate (Sec.2), by using which we derive an expression for the force which keeps a test particle along its orbit around the sun. We consider a test particle (p) at a distance r from the sun with an orbital velocity v.

         We discuss in this situation the net force on (p) due to gravity and repulsive forces.

         Let C be the gravitational force on p directed towards the sun, due to the self- compressive nature of the space. Due to the spin motion of the sun and its constituent particles there occurs a radial outward flow of energy from the sun. This radial outward flow exerts a repulsive force on the test particle.

        The energy emanating from the surface (r=R) of the sun per second flowing through unit area at a distance r from the centre of the sun is directly proportional to 1/r2.
 
        Consequently the momentum received by the unit area in unit time and hence repulsive force on the test particle may be written as Rs/r2, where Rs is a parameter related to the sun.

        As stipulated by Postulate(2), the free particles which are present between the sun and the test particle (p) spin with relatively high speed and give out spreading waves repelling each other. Due to the compressive force (C - Rs/r2) on (p), the column of the free particle medium between the sun and the test particle is under compression.

        Since the free particles (as well as any other material particles) present in the column are repelling one another due to their spin, this compression is counteracted by a resistance. As a result, if K is the mean repulsive force on the test particle per unit length of the column, Kr gives the effective repulsive force on the particle.


         Hence the net centripetal force on the particle is (C - Rs/r2 - Kr).

          In other words, the net force F on the particle is given as:

        F = C - (Rs / r2) - Kr                                                                     (6)

We follow the standard convention that negative value of F means centripetal (radially towards the sun) and positive F means centrifugal (radially outward).

         The expression obtained here for the centripetal force acting on a test particle has three terms: the first one is a constant term contributed by the space; the second one contributed by the sun varies inversely with r2 and the third one contributed by the free particle medium around the sun varies proportional to r. The expression for F leads to a potential

         V(r) = (Cr + Rs/r - 1/2 Kr2)

so that

           F = -¶V/¶r.


         The r-dependence of the expression for F in eqn.(6) has certain interesting features.


         According to Newton's law of gravity, the gravitational force binding any two systems vanishes only at infinity.

 But here, the force F as given by eqn (6) vanishes for three values of r of which the two positive values are of physical significance. The variation of F with r is given in the graph I. The Lagrangian (L) of the test particle is, given as,

Since L is independent of Ø, the angular momentum q=r2(dØ/dt) is a constant of motion.

Using Lagrangian equation of motion along with eqn. (6,7) we obtain:

        d2u/dØ2 + u = 1/q2u2 ( C - Rsu2 -K 1/u )

where

        u=1/r. = Bu-2 - Du-3 - A                                                                       (8)

        B = C/q2 ; D = K/q2; A = Rs/q2                                                           (9)

        d2y/dØ2 + y = B (y-A)-2 - D(y-A)-3 ,
where
        u+A=y.                                                                                             (10)

Each term on the R.H.S. of equation (8) deserves special explanation. When compared to Newton's formalism (eqn.2) the constant term A here gets a negative sign.

This is understandable because the role of the sun regarding its effect on the test particle is reversed in Vethathiri formalism. According to Newton the sun attracts the particle whereas our postulates imply that the sun repels the test particle. The term Bu-2, though non-linear, differs vastly from the corresponding term of Einstein, i.e. 3ku2. This is because our view of space is drastically different from that of Einstein. According to Einstein, the curvature of space is distance dependent. But in our formalism the compressive force of the space on a given particle is independent of distance; in fact, here the question of distance dependence of C does not arise at all. It is significant to note that the term Du-3 which is highly non-linear has no counterpart in Newton's and Einstein's formalism. This is because the role of the free particle medium around the sun has not been taken into account in their formalisms.

4. Perihelion Effect


       Considering Eqn.(10), let us assume, y = a where a is very small.

       d2a/dØ2 + a = (B/A2) (1+ 2a/A) + (D/A3) (1+ 3a/A)                            (11)

       d2u/dØ2 + n2a = w                                                                             (12)

        n2 = ; w = ( B/A2 + D/A3 )                                  (13)

 Assuming the solution to be a = w/n2 + E CosnØ where E is a constant,

        we get 1/r = + E CosnØ                                                  (14)

Eqn (14) represents a Conics. For eqn (14) to represent an ellipse, (w/n2 - A) has to be positive which requires, as a simple calculation shows 8g + 9h > 6 where

         h=2B/A3; g=3D/A4                                                                            (15)

Eqn (15) imposes a restriction on the relative values B,A and D. r repeats its value when

        nØ = 2pØ = 2p/n = 2p + 2pCq4/Rs3 + (3pk/Rs4) q6                           (16)

The last two terms on the R.H.S. will prevent the elliptical orbit from being closed and hence represent the perihelion effect. It may be noted that the two terms representing the perihelion effect arise due to two different reasons: The first one is due to the interaction of the particle (p) with the space and is similar to the perihelion effect obtained by Einstein and the second one is due to the interaction of the particle (p) with the free particle medium, which has not been considered in Einstein's formalism.

5. Conclusion


          In Newtonian formalism, the force F(r) of gravity becomes zero only at infinity. But in our theory F(r) becomes zero, in principle, at three points of which two are of physical significance. Of these two points, (X1 and X2 of force variation graph) the farthest point X2 is more meaningful in astrophysical situations. At this point, the compressive gravity C is almost balanced by the reactive resistance Kr. This is a kind of situation where Einstein expected the repulsive force due to his cosmological constant to balance the attractive gravity. The nearest null point (X1) is of much interest when we consider the dynamics in atomic and nuclear dimensions, where hitherto the presence of such compressive force (gravity) and repulsive forces have not been hitherto considered. Furthermore, the strong repulsive forces operating at a distance less than that of X1 may have significant implication in the study of gravitational collapse of massive stars [16]. In Einstein's formalism, the perihelion effect is due to the interaction of the test particle with the curved space; but here the perihelion effect turns out to be not only due to the interaction of the test particle with the space but also due to its interaction with the medium of free particles. The problem of determining the quantitative values for the compressive gravity C, the reactive resistance per unit length K and the repulsive flux Rs on the surface of the sun is to be taken up for a future publication.

6. Acknowledgement


      The authors pay their deepest respects to Shri Vethathiri Maharishi whose revelatory insight about space forms the basis of this paper and with whom we had the privilege of having many enlightening discussions. We gratefully acknowledge that while translating his insights into mathematical relations we were much benefited by our discussions with Prof. Kandasamy, Prof. E.K. Ramasamy, Prof. Kulandaivelu of Bharathiar University, Coimbatore, Prof. P.R. Subramaniam and Prof. M. Seetharaman of University of Madras, Chennai, Prof. M. Pankajavalli of Sri G.V.G. college, Udumalpet, Dr. Kamalaharan, formerly of Presidency college, Chennai, and Dr.V.K.Gupta of University of Colorado.

7. References


   1. S.V.Chervon, V.M.Zhuravlev and V.K.Shchigolev: Phys. Lett. B. 398 (1997), 269.
   2. Santhosh Kumar and V.C. Kuriakose: Abstracts of Plenary Lectures and Contributed Papers GR15 (1997).
   3. P. Nuthakki: Int. J. Theo. Phys 13, (1975) 27.
   4. Fred Hoyle, G. Burbridge and J.V. Narlikar: Proc. Royal. Soc. London A448 (1995) 191.
   5. F. Winterberg: Abstracts of Plenary Lectures and Contributed Papers GR15 (1997)
   6. E. Gunzig, J. Geneniau and I. Prigogine: Nature 330 (1987) 621.
   7. Miles F. Osmaston : Proc. 5th Conf. Physical Interpretations of Relativity Theory, edited by M.C. Duffy (1996).
   8. Bernhard Haisch, Alfonso Rueda and H.E. Puthoff: Spec. Sci. Tech. 20 99 (1997).
   9. M. Arminjon: Revue Roumaine Sci. Tech. - Mec. Appl. 42, (1997) 27.
  10. M. Arminjon: Proc. 6th Conf. Physical Interpretations of Relativity Theory, edited by M.C. Duffy (1998).
  11. R.Brout, F. Englert, and E.Gunzig, Ann.Phys. 115(1978),78
  12. Yogiraj Vethathiri Maharishi: UNIFIED FORCE ( Vethathiri Pub. 1995)
  13. Eric A. Lord: Tensors, Relativity and Cosmology (Tata McGraw - Hill 1976).
  14. H. Goldstein: Classical Mechanics.
  15. H. A. Atwater: Introduction to General Relativity (Pergamon Press, 1974).
  16. J.R. Oppenheimer and H. Snyder : Phys. Rev. 56, (1939) 455.

For further details and clarifications, contact Brain Trust.

Inertia

THE CONCEPT OF INERTIA IN THE VETHATHIRI MODEL OF THE UNIVERSE. This paper was presented at the "Seminar on Mass and Gravity", co-sponsored by the Brain Trust (W.C.S.C) and Ramakrishna Vidyalaya College, Coimbatore, So.India, on 24th Sept.1999, attended by over 100 professors and graduate researchers from various colleges and universities in the area.

Abstract


Newton considered gravity to be an inherent property of every particle in the universe. This view of Newton was modified by Einstein to mean that gravity is due to the action of a particle on the surrounding space. Modifying this view of Einstein, we obtain a new model called Vethathiri Model of the Universe, wherein gravity is the action of space on the particle. In the light of this Model, certain fundamental concepts are critically reexamined. We show that mass is the dynamic differential of the compressive gravity and the net resistance to it.

Introduction


The study of the laws governing the evolution of the observable universe constitutes Science. The evolution comprises a series of causes and effects. The description of the link between a given cause and its effect, expressed in mathematical terms, becomes a theory. Normally, a theory starts with an effect and ends up in unraveling the cause for it.

Newton thus declared: "The aim of my science is to find the cause for every effect I observe until I arrive at the ultimate cause which is certainly non-mechanical."

Every theory has three stages: axioms, mathematical logic and predictions. When the predictions do not agree with experimental evidence, axioms must be suitably modified. Let us briefly discuss in this paper how the axioms of the Newtonian model of the universe were modified by Einstein to arrive at a new model, and how Einstein's axioms need further reexamination in order to remove certain fundamental difficulties of modern science and thus bring us into closer agreement with the perceivable truth of Nature.

Newtonian Model


In the Newtonian model the universe is considered as a composition of four independent entities: space, time, matter and energy. Absence of precise and clear definitions for these four is a severe limitation on the Newtonian model. In such an absence, people have been led to mistake them for what they are not! The failure of the Newtonian school of thought in the realms of atomic dimensions and high velocities demonstrated that there are axiomatic errors in the Newtonian scheme. This demonstration came about a century ago and gave the scientific community the requisite courage and motivation to modify the Newtonian axioms. This led to the propounding of quantum concepts in the atomic dimension and attempts at unification of the four entities - space, time, matter and energy.

Einstein Model


Einstein's theory brought out the inter-dependence of space/time and matter/energy by the following relations:

T = [ t - vx / c2 ] / √[ 1 - v2 / c2 ]    ...........  (1)
E = mc2                ...........  (2)

By the above relations, Einstein reduced the four independent quantities to two: space and time united to become space -time continuum and matter and energy united to form matter-energy by equivalence. This unification is the greatest gift of Einstein to the people of the twentieth century. However, the Einstein model retains the limitations of the Newtonian model in the sense that the ultimate explanations of the radical nature of space and mass have not been provided.
With the Vethathiri Model the unification scheme initiated by Einstein is brought to its logical conclusion and the explanations so far lacking have finally been given.

Vethathiri Model

( see Appendix )

The essential feature of the Vethathiri model is that it defines matter, energy and time as the manifestations of the space itself, which is plenum, primordial, Omnipotent and total consciousness. The entire universe is of and by space. Space itself is Gravity: it is everlasting, singular, almighty, all-penetrative, highly transparent, imperceptible, dark, fluid matter, characterized by quivering, kinematic, inexhaustible, self-compressive, surrounding pressure, which results in automatic repulsion in its intensification and emerges as the infinitesimal energy particle. Gravity is identified as unified force, the source of all forces, with the inherent and inseparable attributes of force and consciousness. Time: time is the progressive and regular manifestation of the quivering of space Energy: energy is the manifest dynamic state of the potential energy of space. In the Vethathiri model space, time and energy are the three physical realities of Nature; matter is a limited, localized, perceivable function of space, time and energy, and its parameters are pattern, precision and regularity - all governed by consciousness. The smallest such function is the fundamental individual particle, which is actually an infinitesimal quantum excitation of space - an energy packet. This is called "Vethon" in the Vethathiri model. All supposed varieties of particles are really this same Vethon particle with changed functional parameters.

Gravity


Though gravity was the first known force, it is yet the least understood. Newton considered gravity to be an attribute of the particle. "Every particle in the universe attracts every other particle", declared Newton. If a particle were to be created at an instant, he asserted that it would exert its gravitational influence on every part of the universe instantaneously. For Newton, gravity is "action at a distance" due to and among material particles.
Modifying Newton, Einstein had a different idea about gravity: he asserted that gravity arises due to a particle's effect on the space surrounding it. Any other particle within the ambit of that distorted space gets affected accordingly. Previous to this, space had been considered as a passive background wherein particles move;
Einstein was the first to realize and declare the dynamic and active nature of space.
Modifying Einstein further, Vethathiri model asserts that gravity is solely due to the constant, self-compressive surrounding pressure of the space. The self-compression of the space tends to decrease the distance between any two given particles.
Gravity, or in other words, self-compression, is the essential feature of the all-pervading space and it is this self-compression which is responsible for the formation of fundamental particles from and by space.

Inertia


In Vethathiri model space is primary and individual, fundamental particles evolve from it. Due to its own self-rotation each fundamental particle produces a repulsive field in the ambient space and the quanta of this field are termed "Yogons". This Yogon field is referred to in this model as magnetic field. (The nature of this field is the same as that introduced by Einstein by way of his Cosmological Constant.)

A given Vethon is acted upon by the space through the self-compressive surrounding pressure, as well as by the configuration of matter surrounding it, through the magnetic field.

If C is the constant compressive pressure exerted on the Vethon, and R represents the net repulsive pressure of the individual Vethon (this net repulsion being affected by the ambient magnetic field], then (C-R) represents the net gravity acting on the Vethon. If U = C-R, then, the greater the value of U is, the, greater would be the difficulty for an applied force (F) to move the particle. This difficulty is interpreted classically as the inertia of the particle. If I represents the inertia of the Vethon, then

I = F / a = U = ( C - R )                   ...........  (3)
(a above indicates acceleration)

Equation (3) is the equivalence between the so-called gravitational mass and inertial mass of a particle. In the absence of an applied force, U is the net gravity and under the action of an applied force the same U is the inertia. In fact, rather than use the terms 'mass' and 'inertia' it is more accurate to say that U is the net pressure acting on a particle. In general, the inertia of a body will be given by:
I = U = ∑Un                     ...........  (4)
Un is the inertia of the nth particle.

Thus, Vethathiri model gives a new insight into the term "Inertia" and eliminates the erroneous concept that there are two kinds of masses. If we mistakenly believe in two mass values for a given body, we may feel it necessary to add both to find the total mass of the body!

The equivalence of net gravity and inertia is the marvelous truth of Nature. It was demonstrated by Galileo, admired and wondered at by Newton, exploited by Einstein to build a new theory and is now truly explained by the Vethathiri model.

Eq.(3) contains within it the ideas of great physicists of history, and at the same time holds promise for the understanding of future generations. As a case in point of historical relevance, Mach's principle may be related to the Vethathiri model.

Mach principle


Ernst Mach was a German philosopher, acknowledged by Einstein as his mentor and motivator. Einstein, in his autobiographical sketch mentions that the critical reasoning required for his discovery of Special Relativity was decisively furthered by his reading of Mach's philosophical works.

One of the earliest observed qualities of matter was its inertia. Galileo interpreted inertia of matter as the resistance that a body would give to a force applied on it. Following Galileo, Newton obtained the inertia or mass (m) of a body as a constant of proportionality between a force applied on it and the acceleration thus produced. Hence, in his scheme, Newton considered the mass of a body as absolute. Mach challenged the absoluteness of inertia of the body, and argued that the inertia of a body is a measure of its interaction with the ambient matter and hence depends on the configuration of matter surrounding the body.

This principle of Mach is what the equation (3) partially indicates.

The term R represents the interaction of a body with its surroundings, which Mach speaks of.

Thus, Eq.(3) contains Mach, but it goes further. Since Mach did not have the idea of the potential of space, he never mentioned the interaction of a body with space.

Eqn.(3) enlarges Mach's principle by the constant C which represents the self-compressive surrounding pressure on the body. With this extra dimension, Vethathiri Model modifies the Mach principle to become as follows: The inertia of a body arises due to its interaction with surrounding matter and also due to the effect on it by the self-compressive pressure of Gravity.

Mach's concept of inertia of a body being attributed to the interaction with the rest of the matter in the universe had a profound influence on Einstein. He expected his equation for the gravitational field to incorporate Mach's principle. Accordingly, when he wrote the equation:

Rμv - gμv R + λgμv = -bTμv                   ...........  (5)
Tμv = ( ρ + P )δμv - pVμVv

for the gravitational field, he asserted that the above equation will not admit a solution for the case when the density of the universe r = 0 (i.e. matter-free universe). However, right after his paper appeared, the cosmologist de Sitter did find a solution for the above equation with r = 0. A highly disappointed Einstein looked for ways to rule out de Sitter but soon realized that he could not.

Now, what are the implications of the de Sitter solution? The de Sitter solution shows that a body can have inertia even in the absence of matter surrounding it. Now the question is: In the absence of matter what is the inertia of the body due to? Vethathiri model has the answer. In the absence of surrounding matter the inertia of a body arises due to its interaction with the surrounding space - a factor which Mach did not consider.

Discussion


Salient features of this paper

 1. Conventional physics defines the mass of a body as the amount of resistance that it offers to a force applied on it. However, it didn't throw any light on the source of this resistance. In the absence of a clear understanding of this source, the inertia and hence the mass came to be considered as inherent property of the body and the same was measured in terms of the effect that an applied force would produce.

Soon it was realized that the mass of a body not only offers a resistance to an applied force, but also effects a force on another body due to gravitation. So, there came a different definition for mass in terms of the gravitational force that the body effects on another mass. Accordingly, one talks of inertial mass by the former method and gravitational mass by the latter method. Surprisingly, there is no compelling theoretical reason for the equality of the two masses, which is taken for granted in contemporary physics due to experimental reasons.
In sharp contrast to the above, this paper throws light on the source of the resistance and hence defines mass not in terms of its effect but in terms of its source. The definition given here is of mass, as such, in itself. Mass is the dynamic differential of the compressive gravity and the net resistance to it.

 2. Contrary to Newton's assumption, gravity is shown to be an attribute of space and not of particles.

 3. Einstein attributed gravity to the effect of particles on space, whereas here gravity is shown to be the effect of space on the particle. In the Vethathiri Model an explanation for the source of gravity is offered.

 4. Mach principle is extended to include the interactions of a body with the surrounding space and this extension receives a theoretical support in the de Sitter model. Also, the nature of interactions of matter is explained in Vethathiri Model.

 5. Since inertia of a system is nothing but the net gravity on the system, there is no need to talk about two kinds of masses for a body, or any 'mass' at all. The so-called 'mass' is nothing but the net pressure, (C - R), acting on a body. Science progresses only through constant review and updating. The necessity to revise or update a given theory arises from new experimental results or from the demands of aesthetic or philosophic logic. Instances of both of these are abundant in the history of science. Vethathiri model is another instance of the latter case.

Vethathiri model begins from the radical Beginning itself, and hence has a philosophic base. It is this base which is missing throughout contemporary science, which begins from the stage of fundamental particles but does not even conceptualize the origin nor the essential nature of these particles. The fact that Vethathiri model begins with and consistently proceeds from the radical, primordial state is its strength and gives us a holistic cosmology.

So far science has been piecemeal and hence is riddled with inconsistencies and unanswerable questions. Only a holistic theory can reveal the fundamental truth. It is in this context that Vethathiri model is significant and valuable. It is not a superficial modification of Newton's or Einstein's concepts, but a radically different view which has finally brought cosmic monism into scientific thinking and thereby the concept of Effect is seen as inherent and inseparable from Cause.

Appendix Basic Concepts Of The Vethathiri Model


1. The universe has manifested from, of and by the Primordial Totality, and this everlasting Totality is referred to in this model as the Primordial State (P.S.). Inherent quivering potential energy, consciousness and "self-compressive force" characterize the P.S.

2. Due to the combined action of the potential energy, consciousness, and the self-compressive force, the P.S. gives rise to infinitesimal whirling wave-packets. These whirling wave-packets are hereafter referred to as Vethon particles. With the emergence of the Vethons, the cosmological, irreversible time started and with that the evolution of the universe.

3. The Vethons thus produced are compressed at all times by the self-compressive force of the P.S. to a bounded region and this bounded region defines the physical universe. Thus, the physical universe is embedded in the primordial state. As more and more Vethons are created, the extent of this region enlarges.

4. Due to its spin each Vethon produces a repulsive field around it and the quanta of this field are called Yogons. The Yogon field is referred to in this model as magnetic field.

5. Given two Vethons, the self-compressive force acts to decrease the distance between them, and the repulsive Yogon field acts to maintain a distance between them. Mass of a body is the dynamic differential of the compressive gravity and the net resistance to it.

6. The Vethons evolve into various elementary particles and these elementary particles combine to form systems like elements, molecules and compounds. The number and configuration of Vethons in the system determines its size and structure, and the intensity of the Yogon field between them determines the quality (i.e. the properties) of the element or compound.

7. As the P.S. is endowed with consciousness, every Vethon and hence every system is endowed with the same consciousness, manifesting as the order of function of the system.

8. The Yogon magnetic field in the system gets transformed into the various electrical, chemical and physical properties of the system.

References


1. Yogiraj Vethathiri Maharishi: Unified Force; (Vethathiri Publications, Erode, 1995)
2. H.A.Atwater: Introduction to General Relativity (Pergamon Press, 1974)
3. H.Dicke: Gravitation and the Universe (The American Philosophical Society, 1970)
4. K.Kondo and T.M.Karade (Ed.): Einstein Centenary Symposium: Vol.I and II (1989):

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Last modified 2006-Jan-30 00:27

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Thought Transaction

Inducement Of Behaviour Changes In Tomato Plant By Thought Transaction. Research work done by Arulnidhi Dr. G. Rajendran, Professor & Head, Nematology Dept. (Retd.) Tamilnadu Agri. University, Coimbatore - 641 002. Ph : 2452695 (R) with A. Shanthi, K. Senthamizh, P. Kalaiarasan and J. Jayakumar.

Acknowledgment

(The authors acknowledgment with due gratitude to the revered Vethathiri Maharishi the founder of The World Community Service Centre, Thiruvanmiyur, Chennai for teaching the mind tuning and constant encouragement for the studies.)

Abstract

The thought transaction for plants infested with root-knot nematode, Meloi dogyne incognita revealed that the chemical stimulation had been imparted for the extent of enhancing protein profiles and enzyme activities like peroxidaseand polyphenol oxidase which were responsible for resisting the invasion of nematodes. The plant growth characteristics were perceptibly enhanced and increased the vigor. The gall formation formed by the nematodes is arrested and behaved like resistant plant.

Introduction

Response to music by plants is known to the science as the sound vibrations activate or depress the plant according to vibrations produced. Plants respond to external stress of environment (Bose, 1906).

The external stress, include attack of pest and disease. As nematologist, it was our longing that the nematode menace though we tackle by chemicals is costlier and have adverse effect on the environment as pollutant and have residual problems for the consumer, is there any technique to induce the plants to tackle invasion of nematodes?

The selection of nematode Meloidogyne incognita in tomato (Lycopersicon esculentum) was appropriate, as the gall is very prominent. The gene transfer technique of transferring the genes responsible for root-knot resistance involves chemicals and sophisticated tools which may not be in the purview of ordinary scientist. Hence it was thought of transferring the biomagnetic waves of the scientists with low mental frequency with awareness. Normally such state is attainable due to ill health or using drugs which retards the awareness in persons.

But transferring the mental wave frequency using meditation as tool can achieve the state of subtler frequency of mind with awareness. To achieve this, scientists have to practice for acquiring the skill of transaction of mental frequency change to lower state with awareness. Normal human mind is capable of transaction from 1- 40 cycles per second. The fixing of mind or observing at pituitary gland brings down the frequency of mind to alpha waves (7-14 cycles/second) and further brought down while observing the mind at pineal gland (3-6 cycles/second). The transaction to further down is achieved by fixing the mind expanded to universe or beyond universe. These frequencies can be measured by the instrument of electroencephalogram.

Materials and Methods

The tomato plants were raised in pots of 1.5 kg capacity filled with sterilized pot mixture in glass house. One set of treatments was raised with plants with sterile soil without nematode served as control. Another set of treatment was with inoculum level of 1000 larvae/plant received no thought transaction. The last set of treatment was raised with tomato raised with 1000 larvae/plant with transaction thought transfer by the bio-magnetic mind tuning for the frequency of theta frequency and further down to coma state with awareness.

After daily transaction for 45 days, the plants were examined for root growth, vigor and for the development of any root knots/galls to nematode. The thought transfer was that "the plants in the treatment should be protected from the nematode and the plant should be with a high vigor and should resist the attack of the nematode". The treated and untreated plants were subjected to biochemical analysis. Native poly acrylamide gel electro-phoresis analysis was done to examine the isoform profiles of peroxidase and polyphenol oxidase. Protein profiles were examined by Sodium di decyl Sulphate- Poly acrylamide gel electrophoresis.

Current Nematology


Table - 1 : Effect on plant and vigour by thought transaction to tomato plant inoculated with Meloidogyne incognita, (Mean of 14 replications).

Treatment

Plant height
  (cm)

Plant girth
(cm)

School weight
(gm)

Root weight
(gm)

Root  length
(cm)

Root-knot index
(cm)

Inoculated with thought
 transaction

Inoculated without
thought transaction

55.1


42.4

3.0


1.2

73.5


34.4

9.7


3.0

15.0


7.6

1.2


3.3

Control

59.0

1.8

66.5

8.0

14.0

1.0

SED

1.96

0.13

2.67

0.39

1.50

0.23

CD (0.05)

4.37

0.13

5.96

0.52

0.35

0.52

Results and Discussion

The transacted plants were healthy with more number of roots and with no galls compared to control plants and the plants non transacted by thought. Hence it is evident that the thought of scientist who can transact and tune to such level of mental frequency by practice can induce the susceptible, to a resistant plant. Response to music by plants is known to the science as the sound vibrations activate or depress the plant according to vibrations produced. Plants respond to external stress of environment (Bose, 1906). The present study revealed the response by the plants to the mental frequency of the scientist by modifying the chemical composition and behavior of plants.

It was evident that there was more peroxidase induction in thought transacted nematode infested plants revealing as PO1 and PO2 where as the plants not received thought showed PO1 isoform only. For polyphenol oxidase activity more enzyme induction was evidenced in thought transacted infested plants revealing 3 isoforms as PPO1, PPO2 and PPO3 compared to plants not received thought. More number of protein profile bands were found on thought transacted nematode infested plants . The plant peroxidases are important to the reinforcement of the cell walls at the border of infection by pathogens in resistant plants. They are considered as important compounds of an active defense response of nematode invaded tissue (Zacheo et al., 1995).

Peroxidase and polyphenol oxidases are precursor in phenyl propanoid which is responsible for biosynthesis of lignin in plants. High accumulation/ lignin deposition interfere the penetration of pathogen in the host cell wall. The thought transaction with plants thus help in protect the plants from invasion as plants are of the first order of evolution and are with many secrets of life to be explored (Tompkins and Bird, 2000).

Benefits of Kayakalpa Yoga over PCOS Patients

Dr. S.P. Bharathi, B.S,M.S, Dr. Y.M. Ravichandran, B.S,M.S, M. Abeetha, M.Sc., (Biochemistry), SKM Siddha Hospital, Erode.

Background


Polycystic ovarian is a common endocrine disorder affecting nearly 15% of women of reproductive age group. It is often and incidental finding in most cases, with lack of periods, infertility, unwanted facial growth and loss of hair giving signal to many patients for a check up. The principal function of ovary is production of an egg each month for ovulation and production of all hormones necessary for reproduction. The ovary fails to expel the matured eggs in PCOS and a small amount of fluid begins to accumulate inside the immature follicles to form multiple cysts. The cysts once again cause hormonal imbalance. (Anuradha et al).
 
New studies have well documented that insulin resistance is an underlying cause of PCOS. There are several mechanisms for the state of insulin resistance leading to hyperinsulinemia.
 

  • Peripheral target tissue resistance.
  • Decreased hepatic clearance.
  • Increased pancreatic Sensitivity.

There is experimental evidence to indicate that in women with PCOS the peripheral insulin resistance is due to post receptor defect specifically leading to reduced tyrosine autophosphorylation and excessive serine phosophorylation. Stated simply serine instead of tyrosine phosophorylation is an "off' mechanism for P 450c17 enzyme activity the defect in insulin action is hindered due to glucose metabolism, other binding action of glucose are not impaired. There is an impressive correlation between, the degree of hyperinsulinemia and hyperandrogenism. At higher concentrations, insulin binds to the type II IGF receptors (structurally similar to insulin receptors). IGF and insulin transmit their signals by initiating tyrosine autophosphorylation of their receptors. Thus when insulin receptors are blocked of defective in number, it is to be expected that insulin would augment thecal androgen response to Luteinizing hormone.
There are two other important actions of insulin, which contribute to hyperandrogenism in the presence of hyperinsulinemia :

  •  Inhibition of hepatic synthesis of sex hormone binding globulin.
  •  Inhibition of hepatic production of Insulin like growth factor binding protein I.

In India nearly 40% of women are affected by PCOS. But among them only 60% come to hospitals for treatment, when they recognize that they have got infertility. If treated during early adolescent period it could be easily cured. Clinically the treatment of PCOS is challenging in much more.
 

Objective


The aim of the present study is to evaluate the benefits of Kayakalpa yoga in PCOS patients:
"Natural forces within us are the best healers of diseases".
 
Pituitary glands control the Endocrine metabolism of our body. When the other endocrine glands get aggregated, pituitary gland regulates then, by secreting an Anti-hormone. By giving treatment of pituitary gland synchronization of pituitary - ovarian axis is brought out. Thus PCOS could be cured. The Kayakalpa yoga is an intrinsic exercise, done to regulate the endocrine metabolism of our body. Since, PCOS is one of the endocrinal disorder, this yogasana is applicable to patients suffering from PCOS.
 
Obesity is one of the causative factors for PCOS patients. Due to this Yogasana our body will be reduced. So in the study, a new approach is analysed to control the obesity factor in PCOS patients.
Kayakalpa yoga is a rejuvenating technique, which maintains the potency of our body and extends the lifespan. It comprises of two parts :
 
Toning up of nerves

There is a co-ordination between brain, functions of central nervous system and autonomous nervous system, knowing as "toning". Disturbances cause non-coordination known as "distonia". In PCOS patients, there is a distonia in pituitary-ovarian axis. Strengthening the coordination and getting rid of sagging is called toning up of nerves.
Every cell is made up of infinestimal, and tiny particles, each of which keeps rotating it. Due to this self-rotation, a centrifugal force is generated, which is called "Life-force". On account of this a spreading wave is given rise to and it spreads throughout the body, known a Bio-magnetism. To maintain better polarity amidst the cells we should bring the "Life-force" collected in the Genetic center to the head. There are two important links considered in the study :

  • Hypothalamic - Pituitary link
  • Pituitary - Ovary link.

The series of changes that occur originate primarily from Bio-chemcial impulses sent out by a portion of the brain called Hypothalamus. This activates the endocrine gland called Pituitary gland and this stimulates or inhibits as may be necessary, the hormones of the ovary, In PCOS patients, there is an increase in Luteninzing hormone and a decrease in Follicular Stimulating hormone. Since the follicle is not stimulated appropriately it may lead to infertility. The "Recycling of Seminal Back Mechanism" (Kayakalpa Yoga) is similar to the Feed Back mechanism of the Pituitary glands, in synchronizing the hormonal balance. Thus doing this yogasana regulates Luteininzing hormone and Follicular Stimulating hormone. (Rathan Janartham, 1998) .
 
Hormones enact as transformers in regulating the levels of energy producing substances (c AMP, Glucose, Calcium, Sodium) in our body. (Perumal, 1998) By doing Kayakalpa Yoga the energy from Life force is channeled up, it triggers the functions of all endocrine glands and nerve plexus, which are helpful in secreting the hormones. (Jaya Lal Mohan)
Thus Kayakalpa Yogasana is helpful in curing PCOS patients.
 

Selection Criteria


Ten women, who satisfied the criteria for PCOS by ultrasonography were selected for this study. The criteria were

  • Clinical features such as menstrual abnormalities, hirsuitism, infertility, obesity.
  •  Pelvic ultrasonography showing the presence of eight or more peripheral cysts of at least l Omm diameter, with increased stromal echo in one or both ovaries.

Data Collection & Analyses


All women were above 20 years of age. All informed, written consent was obtained from them for inclusion in the study. An abdominal pelvic scan was done in women who refused a vaginal scan. All scans were done in the follicular phase of the cycle in which this could be determined, or at any time in those who were anovulatry.
 

Reference Values


Reference values were derived from control subjects with regular menstrual cycles and no evidence of PCOS. These values were adjusted on the basis of Body Mass Index into normal and overweight groups. Hyperinsulinemia and Hyperlipidemia were defined as values greater than the 75th centime for normal women, adjusted for BMI.
Body Mass Index (BMI) & Obesity :
 

Body Mass Index (BMI) & Obesity


The BMI was calculated as weight in kilograms divided by height in meters squared. Subjects were defined and being overweight if the BMI was greater than 25 kg.sq.m.
 
Body Mass Index

Group - I

                                                    Table - 1

S.No.

Age
(years)

BMI
(kg/sq.m)

Menstrual
irregularities

Sondogical evidence for
Polycystic ovarian disease

1

30

30

+

+

2

32

27

-

+

3

25

26

-

+

4

35

36

+

+

5

30

26

+

+

6

27

33

+

+

7

26

28

+

+

8

29

33

-

+

9

32

30

+

+

10

28

28

-

+



Body Weight in PCOS Patients
 
                                                        Table - 2

S.No.

Age in Years

Group I

PCOS patients
before treatment.  (kg)

Group II

PCOS patients after
Siddha treatment.  (kg)

1

30

65

64.2

2

32

53

50.0

3

25

72

69.50

4

35

56

54.20

5

30

52

53.20

MEAN + S.D.=59.6+14.60

MEAN+S.D.=58.22+13.776

S.No.

Age in years

Group I PCOS patients
before treatment.  (kg)

Group II PCOS patients
after Siddha treatment.  (kg)

6

27

66

64.3

7

26

75

71.0

8

29

59.5

56.0

9

32

78

77.0

10

28

67

60.2

MEAN + S.D.=69.1+1.924

MEAN+S.D.=66.06+12.416




                Table - 3

S.No.

Group I
PCOS patients
before treatment
  (μU/ML)

1

17.20

2

10.50

3

14.20

4

19.40

s

20.50

6

10.01

7

32.54

8

13.97

9

19.96

10

18.18


Normal value = 6 - 10 μU/ml.

Group Distribution


The 10 patients were divided into three groups.
 
Group-I 10 PCOS Patients, before they were given treatment.
 
Group-II 5 PCOS patients, who were made to take Siddha medicine only.
 
Group-III 5 PCOS patients, who were made to take Siddha medicine and also exposed Yoga exercise (Kayakalpa Yoga).
 
Experts of the SKM trust, taught Kayakalpa Yoga Group III patients. they should do this yogasana slowly without any swift movements.
 
The Siddha medicines prescribed were :

  1. Nillakadambu Churanam.
  2. Kumari Legium.
  3. Ashoka Pattai Churanam.
  4. Chandamarutha Chenduram
  5. Agasthiar Kulambu.

Blood Collection
 
Before starting the study, the blood was collected from the PCOS patients and the bio-chemical analyses were estimated. After three months of Yoga therapy, blood samples were collected from the PCOS patients, and the bio-chemical estimations were analyzed.
 
The Bio-Chemical parameters investigated were :

  • Serum Insulin level 
  • Ilipid profile

Results & Discussion


In the present study, serum insulin level and lipid profiles (TGL, Cholesterol, HDL and LDL) were observed in 3 groups such as PCOS patients (Group-1), the patients treated with Siddha medicine (Group-II) and the patients treated with Siddha medicine and Yoga therapy (Group-III).
 
A total of 10 women with PCOS were studies. The age, body mass index (BMI), menstrual problems and USG findings of these women are shown in TABLE - 1. Their age ranged from 25-35 years. All the women had a BMI of more than 25, Six women had presented with menstrual abnormalities and four did not. All women except one (BMI-26) had sonographic evidence of PCOS. TABLE-2. shows the body weight of PCOS patients before and after doing Kayakalpa yoga. Serum insulin level :

  • Table - 3 presents the serum insulin level of PCOS patients (Group-1). High insulin level was observed in PCOS patients as compared to control subjects.
  • Serum insulin level was found to be decreased in Group-II and Group-III. This was shown in Table-4 and Tables-5. The serum insulin level in PCOS patients taking Siddha medicine was found to be decreased in comparison with PCOS patients (Table-4). But the values were not significant.  
  • But serum insulin level was found to be significantly decreased in case of PCOS patients treated with both Siddha medicine and Yoga therapy.

Lipid profiles

  • Tables 6 & 7 depict the triglyceride (TGL) levels of Group II and Group III patients. The TGL level was found to be decreased in both Group II & III patients as compared to that of Group I patients. The data was statistically analysed by employing student's t-test. the data was not significant.
  • The similar result was found in cholesterol level also. In Group II & Group III patients, low cholesterol was observed as compared to Group I patients. The values are insignificant. (Table 8 & 9).
  • The lipoproteins (LDL & HDL) were also observed in Group II and Group III patients. The LDL level was shown in Table 10 & 11. The HDL level was shown in Table 12 & 13. The LDL level was lower in Group II & III, when compared to Group I patients. But in contrast, high HDL level was observed in Group II & III patients in comparison with Group I patients.

Discussion


Hyperinsulinemia and insulin resistance are the feature of PCOS, espeically when women have associated anovulation. (Kiddy et al, 1990). Body Mass Index (BMI) is positively correlated to serum insulin levels. Low Sex binding globulin levels (SHBG) are also positively correlated to hyperinsulinism and Hyperandrogensim (Rozati et al, 1999). The most common cause of insulin resistance and hyperinsulinemia is obesity. (Seibel et al, 1984).

In the present study. high insulin level was observed in PCOS patients as compared to the normal (Table-2). The results are consistent with the observation made by Kiddy, 1955 and Seibel, 1984. Ducluw et al, 2003 reported that low SHBG levels in PCOS patients are intimately associated with BMI suggesting that some signals form the adipose tissue, independent of adiponectin and leptin may regulate liver production of SHBG. patients were defined as being overweight or obese. If the BMI was greater than 25 kg./sq.m (Table I). Numerous studies show that weight loss and exercise decrease androgen levels, improve insulin sensitivity and lead to the resumption of ovulation. Physical exercises have been widely known to induce oxidative metabolism in tissues. (Moorthy 1981 & Winder, 1985) and the oxidative metabolism of the ovary is a stimulant for follicular development, (Zimmerman et al, 1960 abd Nejerbsm 1960), A significant decrease in serum insulin level was observing in PCOS patients after exposure to exercise (Kayakalpa Yoga).

It has been reported that Kayakalpa Yoga helps to remove unwanted fat from our body and also helps to regulate metabolic functions by controlling endocrine secretions. In this study, PCOS patients got good results by doing Kayakalpa exercises. Body weight of Group II PCOS patients.

Sampalo concluded that obesity leads to hyperinsulinemia, which cause both hyperandrogenemia and raised IGF I levels, which augment the ovarian response to gonadotrophins. In this study the patients were obese and had high insulin level. But after doing Kayakalpa exercise there was a decrease in body weight and serum insulin level was controlled which in turn regulates the ovarian pathway in PCOS patients. This observation has been in consonance with the earlier report (Sampalo et al, 1994).

Cousin reported that women with PCOS manifest abnormal Lipid profile. This manifestation coupled with Insulin resistance and obesity palces the patients at high risk for Coronary Heart disease.

After the practice (Kayakalpa Yoga) TG1 level showed a slightly decrease and HDL level showed a slight increment. Other lipid profiles such as cholesterol and LDL levels were decreased in Group III patients as compared to Group I patients. A change in the lipid profile indicates improvement in PCOS patients.

"Treatment depends on a patients Goal".

Some patients require hormonal contraception. Whereas other benefit from ovulation induction. Interruption of steady state and control of Hirsuitism accomplish simultancously. However for patients desiring pregnancy, effective control of hirsuitism may not be possible.

Weight reduction of obese patients with PCOS may positively affect both menstrual abnormalities and hirsuitism. Because all medications have potential side effects, weight loss should be the first line of treatment.

Rasgon, 2003 concluded that a high prevalence of depression among women with PCOS was found. When interviewed the PCOS patients said that they had depression during menstrual periods. But a change in their mood was seen after they continuously practiced the yogasana's for three menstrual cycles.

Summary and Conclusion


Polycystic ovary is only a syndrome, not a disease, If detected in early stages (during adolescence) it could be easily cured. The present study was aimed to observe the bio-chemical changes in PCOS patients of reproductive age group undergoing Kayakalpa exercise.


Last modified 2005-Sep-17 14:33

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