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# What is syntropy?

192021

###### 2010-06-23 19:19:53

In special relativity the energy/momentum/mass equation:

E2=m2c4+p2c2

relates the energy of an object (E) with its mass and moment (speed). This equation simplifies into the famous E=mc2 when the momentum is set equal to zero (p=0).

In quantum mechanics the key equation is Schrödinger's wave equation.

In 1926 Klein and Gordon united the energy/momentum/mass relation (special relativity) with Schrödinger's wave equation (quantum mechanics) obtaining an equation which depends on a Square root and has always a dual solution: one positive, in which waves propagate from the past to the future (retarded waves), and one negative, according to which waves propagate backward in time, from the future to the past (advanced waves).

In the 1930s the negative solution was refused as it was considered to be impossible, even though many experimental evidences were supporting it (for example Dirac's neg-electron, Anderson's positron and the discovery of antimatter). Any attempt to integrate quantum mechanics with special relativity always opens the uncomfortable dilemma of waves which move backward in time. The refusal of the negative solution keeps special relativity separated from quantum mechanics. Lately, Cramer (physicist at the Washington State University) showed that only when advanced waves, which move backward in time, are considered to be real the mysteries of quantum mechanics (such as the dual nature of matter - waves and particles - and nonlocality) become necessary manifestations of the dual nature of waves and time.

In 1941 the mathematician Luigi Fantappiè, working on quantum mechanics and special relativity, proposed a mathematical demonstration which shows that the positive solution, which describes waves (and particles) which propagate forward in time, is governed by the law of entropy (dissipation, disorder and death) whereas the negative solution, which describes waves (and particles) which propagate backward in time, is governed by a symmetrical law which Fantappiè named syntropy and which has the following properties: concentration of energy; differentiation; creation of structures; order.

Fantappiè noticed that the properties of the law of syntropy are similar to the properties of living systems, arriving at the conclusion that living systems are, in their essence, attracted by the future, and therefore anticipatory systems.

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