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The equation E = mc2, commonly associated with the work of Albert Einstein, was first published in 1890 by Oliver Heaviside  [1] and then refined by Henri Poincaré [2] in 1900 and Olinto De Pretto in 1903  [3], and it then become famous with Einstein’s special relativity  [4] where it was integrated with the momentum in the energy/momentum/mass equation  [5]:

 

E2 =  p2c2 + m2c4

where the total energy (E) is the result of the sum of the

momentum (p) and mass (m), multiplied by the speed of light (c)

 

Being a second order equation, it is necessary to operate a square root which produces always two solutions, one positive and one negative. This simple property of square roots implies that the solution of energy is always dual: positive (+E) and negative (-E).  According to Einstein’s special relativity:

 

-        the positive energy solution (+E) describes energy which diverges from causes located in the past and which propagates towards the future (retarded potentials);

-        the negative energy solution (-E) describes energy which diverges from causes located in the future and which propagates backwards in time from the future towards the past (anticipated potentials).

 

Usually physicists tend to reject as “unphysical” any solution which contradicts classical causality, according to which causes always precede effects. Any solution which makes it possible to send a signal backwards in time is usually rejected. For this reason the negative energy solution was immediately considered impossible, a mathematical trick, because it implied the existence of causes located in the future which retroacted on the past. This absurd situation was automatically solved in inertial systems in which the momentum (p) is equal to zero. When the momentum equals to zero c2p2=0 the equation simplifies in the famous E = mc2 which has only positive solutions (+E).

 

However when the Schrödinger wave equation (ψ) [6] is turned into a relativistically invariant equation the Klein-Gordon equation [7] is obtained:

 

 

Both solutions of this equation need to be considered as a possibility and even a non physical negative energy has to be considered as a possibility. According to Klein-Gordon’s equation:

 

-        the positive solution (+) describes waves which diverge from causes located in the past and which propagate towards the future (retarded waves);

-        the negative solution (-) describes waves which diverge from causes located in the future and which propagate backwards in time from the future towards the past (advanced waves).

 

Although this equation can be considered the fundamental equation of the universe, the advanced waves solution was rejected, since it contradicts the law of causality.

 

In 1941, studying the mathematical properties of the two solutions of the Klein-Gordon’s equation, the mathematician Luigi Fantappiè [8] discovered that retarded waves solutions, which describe waves and energy which diverge from causes placed in the past, are governed by the law of entropy (en=diverge, tropos=tendency), whereas advanced waves solutions, which describe waves and energy which diverge backwards in time, are governed by a law symmetrical to entropy which Fantappiè named syntropy  (syn=converge, tropos=tendency). For us, moving forward in time, advanced waves correspond to converging waves which concentrate energy, produce differentiation, complexity and structures. Fantappiè recognized these properties in living systems and arrived at the conclusion that life feeds on advanced waves. Consequently, systems which support vital functions, such as the autonomic nervous system, should react in advance to future events. In the last decade an impressive number of studies have shown the existence of pre- stimuli reactions in skin conductance and heart rate [9]. These studies suggest that the advanced waves solution of KGE is real and needs to be taken into consideration.

 

The scientific revolution that was started by Newton and Galileo divided culture into two parts: on the one side science, capable of studying the entropic aspects of reality, and on the other side religion, dedicated to the syntropic aspects of reality, such as the soul and the final causes. The introduction of syntropy into the scientific model implies a profound change in the cultural balance between science and religion, which Fantappiè describes as follow: “Let us conclude by looking at what we can say about life. What makes life different is the presence of syntropic qualities: finalities, goals, and attractors. Now as we consider causality the essence of the entropic world, it is natural to consider finality the essence of the syntropic world. It is therefore possible to say that the essence of life is the final causes, the attractors. Living means tending to attractors. But how are these attractors experienced in human life? When a man is attracted by money we say he loves money. The attraction towards a goal is felt as love. We now see that the fundamental law of life is this: the law of love. I am not trying to be sentimental; I am just describing results which have been logically deducted from premises which are sure. It is incredible and touching that, having arrived at this point, mathematical theorems start speaking to our heart! [...] we see written in the book of nature - which Galileo said was in mathematical characters - the same laws of love that we find written in the holy books of the major religions. [...] the law of life is not the law of hate, the law of force, or the law of mechanical causes; this is the law of non-life, the law of death, the law of entropy; the law which dominates life is the law of finalities, the law of cooperation towards goals which are always higher, and this is true also for the lowest forms of life. In humans this law takes the form of love, since for humans living means loving, and it is important to note that these scientific results can have great consequences at all levels, particular on the social level, which is now so confused. [...] The law of life is therefore the law of love and differentiation. It does not move towards levelling and conforming, but towards higher forms of differentiation. Each living being, whether modest or famous, has its mission, its finalities, which, in the general economy of the universe, are important, great and beautiful.