IV

 

Anthropic and ananthropic concepts

 

French Version                                         

 

a)      The physical concept of space

 

The aristotelician or newtonian space is an absolute framework where the phenomena occur.  Einstein relativized this space by integrating it into a four-dimensional universe (compound of three coordinates of space and one of time) where the events happen (On the electrodynamics of the moving bodies 1905).  Time and space, closely mixed, constitute reference frames from which the physical phenomena are calibrated:  momentum, energy, speed, etc...  The physical laws are invariant by change of reference frame.  Actually, Special Relativity does not relativize space but space measurements of rigid bodies located in space, according to their situation of movement or rest.  It relativizes, in the same way, not time but temporal measurements of the clocks at rest or moving.  Special Relativity rises from the postulate of the constancy of the speed of the light in the vacuum. 

 

By prolonging its step, Einstein geometrises the concepts of force and gravitation in an optimal trajectory (geodesic) described by a particle of test in a four-dimensional space (space-time) curved by the presence of matter-energy (Foundations of the General Theory of  Relativity 1916). 

 

If space is curved by the presence of matter-energy, it is because it appears different from thoseones and as a framework where the events occur.  A space containing neither matter nor energy is thus conceived as an empty framework.  How can one conceive the physical curve (and no geometrical) of an empty space?  i.e. nothingness.  Nothingness, by definition, can be neither flat nor curve.  Actually, in General Relativity, Einstein describes and calculates the modification, the curve of the euclidean trajectories of a particle of test in a space containing of matter-energy.  It is not the empty space which is curved.  That is impossible by definition.  They are the trajectories of the bodies in an empty space which are modified by the presence in this same empty space of matter-energy.  Empty space or nothingness, the container, cannot be affected of a curve without contradiction in term.  We find the aristotelician framework of space.  The question which arises then is as follows:  how can matter-energy, without newtonian gravitation, without curve of empty space, affect and  curve the trajectories of the particles of test? 

 

We have tried to provide an element of reply to this question in the model of temporalist gravitation which we propose (see < http://site.voila.fr/nobigbang > Chapter 9:  The temporalist gravitation). 

 

In quantum mechanics, the vacuum of space is not empty.  Because of the uncertainty principle of Heisenberg, space is the place of quantum fluctuations and filled with virtual particles. 

 

In the theory of the Big Bang, the galaxies move away from each other, with a speed proportional to their distance and a redshift whose value is given by the constant of Hubble Ho.  This redshift is interpreted like a cosmological effect, the expansion of the universe.  This expansion of the universe is conceived as a dilation of the space which involves the galaxies (the usual comparison is that of a balloon or a hyper sphere which dilates involving the objects on its surface).  The origin of the expansion is allotted to various causes, the Big Bang, the inflation, the cosmological constant, the dark energy, the quintessence, the instanton, etc…  Space, in the theory of the Big Bang, seems an ambiguous concept.  Is this an abstracted, mathematical or real and physical space?  Is this the vacuum?  i.e. nothingness?  It is rather the curved space-time of General Relativity.  Contradiction is the same one as for General Relativity.  How can  an empty physical space, i.e. nothingness, be expanding? 

 

The physical concept of space, in contemporary physics and cosmology is contradictory.  The quantum spatial vacuum is not empty since it is filled with virtual particles.  The spatial vacuum of General Relativity, in the absence of matter-energy, can be regarded as vacuum.  How can the presence of matter-energy curve an empty framework physically?  An empty physical framework is neither flat nor curve.  It does not have of a spatial size.  General Relativity is a mathematically coherent and physically validated theory.  Its predictive value is daily shown, since long.  Its rationality is not.  It is the same for quantum mechanics.  As for the expansion of the universe, the base of the Big Bang, it suffers from the same rational handicap as General Relativity. 

 

Regarding its irrationality, the quantum concept of space or vacuum, contradictory, must be regarded as anthropic.  It is the same for the relativistic space concept which curves space or the vacuum and not the trajectories in this space or this vacuum.  It is necessary thus to seek an ananthropic concept of the space, i.e. rational, not-contradictory, which integrates the considerable and undeniable results quantum mechanics and Einsteinian relativity.  Such a model is possible.  It is an approach of this model which the author proposed in the temporalist gravitation of his temporalist model:  (< http://site.voila.fr/nobigbang > Chapter 9:  The temporalist gravitation). 

 

a)      The physical concept of time

 

Just as for space, Special Relativity relativizes the concept of absolute aristotelician or newtonian time.  But just as for the concept of space, Special Relativity relativizes not time but measurements of time, i.e. temporal measurements of the clocks, depending on their movement or at-rest state.  This relativistic operation of the clocks of Special Relativity rises from the same postulate of the constancy of the speed of the light in the vacuum.  Nevertheless, the coordinate of time preserves its privileged direction, of past towards the present and the future, contrary to the coordinates of space.  This privileged direction of time, generates a "cone of light" which delimits the observable events of the universe.  General Relativity preserves this temporal asymmetry. 

 

The quantum physics, which integrated the Special Relativity in the quantum electrodynamics, hardly modified the relativistic concept of time.  It changed it, in a space direction, in the diagrams of Feynman, where the orientation past > future is not privileged any more compared to the orientation future > past (particles and antiparticles).  The relations of uncertainty of Heisenberg, by correlating uncertainty on energy and uncertainty over time do not give a specific definition of time.  If Einsteinium relativity emphasizes well (cone of light) the arrow of past time > future, it abolishes the concept of time for the photon.  A moving clock slows down.  A clock, moving  at the speed of the light,  would slow down infinitely.  The photon which moves, in the vacuum, at the constant speed of c is, according to einsteinian relativity, immutable.  For it, time disappears and it is thus located apart from time. 

 

In the theories of the superstrings, the universe would be composed of eleven dimensions, including seven space dimensions, twisted in spaces of Calabi-Yau and 4 dimensions of visible space-time.  In the dimension of time, the photon does not age "At the speed of the light, time ceases running out" (Brian Greene 2000). 

 

The macroscopic concept of time suffers, with the first access, of millennium religious and metaphysics a priori primarily anti-scientists:  creation (of the universe), first causes, final causes, origin, creative divinities, innumerable myths, etc…  These a priori led science, in the past, to purely anthropic cosmogonic theories and their last misadventure, the Big Bang, appeared ex nihilo, and whose many theories try to mitigate the difficulties of the initial singularity (inflaton, pre-Big Bang, etc…). 

 

In last analysis, time is conceived, in contemporary physics, like the fourth space dimension of the universe.  Asymmetry past > future is the only parameter distinguishing space dimensions from temporal dimension.  This asymmetry, denied by Stephen W. Hawking is affirmed by Roger Penrose (1996).  If asymmetry disappears from the concept of time, nothing distinguishes any more temporal dimension from a spatial dimension. 

 

A recent experiment nevertheless confirmed the asymmetry of time in the strange elementary particles (PLEAR 1998). 

 

Multiple theories, primarily in quantum cosmology, speculate on the concept of time.  The theory of Instanton, of Hawking-Turok, extremely speculative, conceives Instanton like a tiny object containing at the same time its own gravity, the matter and its own space-time and which would start an inflationary universe.  Andrei Linde is very skeptic with respect to this theory which he considers physical more media than physical.  A question remains unanswered in this theory:  which is the cause of the origin of the instanton?  The inflationary hypothesis of Alan Guth and the multiple theories of pre-Big Bang (Gabriele Veneziano 1968 - 1991;  Igor and Grichka Bogdanov 1999 - 2004;  etc…)  are primarily speculative and/or almost unverifiable. 

 

These various theories cannot profit from the ananthropic statute:  1) they are highly speculative and violate the critical mind 2) they transgress the Principle of reality because they are not falsifiable or verifiable. 

 

In Einsteinian relativity as in the theory of the superstrings, time is abolished for the photon which is thus located out of time.  In the majority of the cosmological models, space and time disappear before the quantum wall (located at 10^-43 second) or the Big Bang located at moment zero. 

 

To affirm that space and time emerge with the Big Bang or before (pre-Big Bang) mean very precisely that matter-energy is created with space and time starting from pure nothingness.  This assertion, without any validation, raises more from science fiction than from rigorous science.  

 

The concept of time, such as it appears in the quantum cosmological models, the Einsteinian relativity or the theory of the superstrings can be regarded as an anthropic concept.  It transgresses at the same time the criterion of critical mind and the Principle of reality:  1)  To affirm that the photon is located apart from time is pure speculation and an obvious absence of critical mind 2) We do not have any physical proof of the exclusion of the time of the photon. 

 

The quantum or relativistic concept of time can thus be regarded as anthropic.  It is thus necessary to seek an ananthropic concept of the time, i.e. which does not violate the critical mind, which integrates the considerable and undeniable results of quantum mechanics and Einsteinian relativity and which is falsifiable.  It is what the author proposes in his temporalist model based on the assumption of the fundamental asymmetry of time:  (< http://site.voila.fr/nobigbang > Chapter 5:  The concept of time). 

 

b)      The physical concept of speed limit c

 

The constancy of the speed of the light in the vacuum c is a postulate of Special Relativity.  This postulate of the constancy of c and its limiting value in the speed transmission of the physical phenomena constitutes the base of modern physics that it is in Relativity (Special or General) or in quantum mechanics.  A certain number of researchers nevertheless considered supraliminal or even considerable physical speeds, even infinite.  Or actions being instantaneously propagated.  Up to now none of these assumptions could be validated.  These concepts which transgress the Principle of reality, i.e. the scientific validated facts and laws, cannot thus claim with the ananthropic statute. 

 

The physical concept of speed limit c can only, at the present time, claim it. 

 

Paradox EPR introduced a strange, contradictory concept with deterministic traditional physics. 

 

Paradox EPR (Einstein, Podolsky, Rosen - 1935)

 

Paradox EPR supported that the description of the quantum phenomena by quantum mechanics was insufficient (hidden variables) and led to a contradiction with one of the three following points:  1) impossibility for a physical signal of exceeding speed c;  2) the causality;  3) the locality. 

 

The quantum formalism (probabilistic) leads to the violation of the inequalities of Bell by the quantum predictions which show that the quantum correlations cannot be understood using traditional concepts.

 

The experiments of Alain Aspect (1981 - 1982) showed that the predictions of quantum mechanics were valid, that there were not hidden variables and that Einstein and its colleagues were wrong.  Of the three above mentioned points, one chooses the third and one shows some the non-locality or the non-separability of two particles in a single unit. 

 .

This inseparable overall concept, of intricate states, of transmisssion of instantaneous information (and not of physical message what would violate Special Relativity) and of not-locality is an interpretation of the experiments of Alain Aspect. 

 

Another interpretation, that we propose, is possible.  We substitute for the determinism called upon the fundamental indeterminism of the quantum microcosm, corroborated by the probabilistic equation of wave of Schrödinger and the relations of uncertainty of Heisenberg.  The substitution of a fundamental probabilism to traditional causality makes the strange concept of non-locality or non-separability useless.

 

 

c)      The physical concept of the Principle of conservation of energy

 

 

The first law of thermodynamics states the Principle of the conservation of energy in a closed system.  Can the universe be regarded as a closed system?  The answer, today, is discussed. 

 

 

In addition, wether it is in the macroscopic or microscopic, animated or inanimate world, one has  never been able to observe the appearance ex-nihilo or the disappearance of matter-energy.  The living organisms transform themselves into other living organisms (reproduction) or into inanimate matter.  The molecules, the atoms or their components (particles of matter and bosons of gauge) change into one  another but never disappear.  The matter is transformed into energy and vice versa (photons > < electrons) but does not disappear.  Under the terms of the Principle of reality, one can consider that matter-energy can neither appear nor disappear. 

 

The models which consider the creation of matter-energy and space time ex-nihilo either at moment zero of the Big Bang or at one time Pre-Big Bang violate the Principle of reality and must thus be regarded as anthropic.  Only the Principle of conservation of energy (more precisely of matter-energy) profits from the ananthropic statute. 

 

e) The concept of finality

 

The concept of finality relates to primarily biological sciences. Historically, those ones are made, of finalist a priori.  The same terms of organs and functions imply utilitarian considerations and judgments of value.  An organ (heart, stomach, lung, etc…)  has a function (circulation, nutrition, breathing, etc…).    In the field of physics, an electron does not have, in the constitution of an atom, a utilitarian role.  It has certain properties which allow the bond with other atoms to form molecules. This dichotomy in the description of the living organisms and the inanimate matter does not have any theoretical or scientific justification.  It may originate in cosmogonies of metaphysical or religious nature.  To allot  nature intentions or an ethical aspect,  is to ignore neutrality and objectivity concepts. 

 

The Darwinism and its prolongation, the T.S.E. (the Synthetic Theory of the Evolution), with their fundamental concepts of "advantages" and "natural selection" allot nature with utilitarian concepts and finalist intentions, in the biological evolution, which violate the neutrality of nature and is incompatible with the ananthropic statute.  The natural selection (of the best ones), the advantages (anthropic concept, nature being neutral), the adaptations (the organisms which are the best in phase with their environment) are anthropic concepts, without possible dispute.  The Darwinism must thus be regarded as an anthropic theory.  The author proposes a model of the biological evolution which integrates the Darwinian theory with a new interpretation which respects the ananthropic character of nature:  A probabilistic model of the biological evolution:  < http://site.voila.fr/dinosaurs >

 

f) The concept of optimization

 

Wether it is in the physical or biological sciences, one finds the concept of optimization or maximum effectiveness in many principles or disciplines.

 

In the Einsteinian gravitation, the gravitation, a dynamic concept, is replaced by a cinematic concept, the geodesic one of space- time (the shortest trajectory traversed by a particle of test in a four-dimensional space more or less curved by the masses and energy).  Quantum physics uses the concept of minimal fundamental level of energy (no excited state of the atom).  In quantum mechanics, the quantum of action of Planck h, minimal action, is the angular stone of all the physical phenomena.  In traditional mechanics, the Principle of the least action of Maupertuis dominates.  The importance of this Principle is found in the quantum electrodynamics where the equations of the movement, in the theories of the fields, rise from a Principle of the least quantum action (Hildebrandt 1998).  In these various fields, the movement, the energy, the action are minimal.  Which can be translated into a Principle of minimization or optimization of the physical phenomena. 

 

This minimization or optimization of the physical phenomena is found in the biological phenomena.  One can note this optimization of the biological processes at the molecular level, since in last analysis, they are the properties of the biological molecules which determine those of the organisms.  If oxygen is not essential to life (anaerobia), "coupled with the respiratory chain, the cycle (of Krebs) thus has the maximum effectiveness met in biology as for the recuperation of energy of oxidation in the form of A.T.P."  (Schoffeniels 1984).  By glycolysis and the fermentative way, the anaerobic cells manufacture, starting from glucose, 2 molecules of A.T.P., whereas the same reaction, continuing with breathing in the aerobic cells, produces 32 molecules of A.T.P. (oxidative phosphorylation of the cycle of Krebs) that is to say 16 times more energy (Mason 1992, Robert J.Huskey 1998). 

 

The concept of optimization which allots to nature a tendency to effectiveness or a finality in the physical or biological phenomena cannot be regarded as ananthropic.  The minimization of these phenomena is nevertheless a fact.  How can one interpret it in an ananthropic way? 

 

We have seen in a  previous chapter  (Chapter II) that the theory of probabilities, and its application by the law of the large numbers, expresses that the events, of which the probability or the chances are very weak, rarely or never occur and, vice versa, those of which the probability or the chances are high occur.  If one takes the example of a coin thrown in the air, the chances of seeing  the side pile appear are 1/2.  In the case of a dice, the probability of seeing   each face appear is 1/6.  The physical or chemical constitution of the coin or the dice, the height, the speed, the duration of the jet, etc..., are factors or conditions which play a negligible role in the result of the jet.  The probability thus arises, among a number of conditions, like a dominating but no single factor.  The probability orders and simplifies the "events":  the result of the throwings, according to their mathematical chances, i.e. the ratio of the probable cases to the possible cases, in fact 1/2 or 1/6.  Ultimately, the probability selects, among the many parameters which condition the production of an "event" (in the above mentioned example, the structure, the chemical composition, the kinetic energy of the object, etc...), only one parameter, the number of faces of the object (2 or 6), which simplifies the phenomenon and determines the mathematical chances to which the law of Bernoulli applies. 

 

One notes thus that, in the theory of probabilities, one finds the process of minimization or optimization, which we highlighted in the many physical concepts of minimal action of movement, energy and:  geodesic of General Relativity;  minimal fundamental level of energy of the no excited state of the atom;  minimal quantum of action of Planck h, Principle of the least action of Maupertuis, Principle of the least quantum action of Hildebrandt.  It is the same for the optimization of the biological processes (cycle of Krebs).  The concepts of minimization or optimization, attached to a human judgment of value, must be regarded as anthropic.  The phenomena of movement, of minimal energy or action, physical or biological, must be regarded as phenomena which have mathematical chances to occur and which occur.  They are thus probabilistic phenomena which concern ananthropic concepts. 

 

The anthropic concepts of minimization or optimization thus appear, in last analysis,as the anthropic translation, of the ananthropic concept of dominant or dominating probability. 

 

 

g) The Second Principle of Thermodynamics

 

The Second Principle of Thermodynamics states that, in a closed system out of balance, the entropy is not preserved.  It grows and evolves to a state of balance.  The entropy increases during the evolution towards the state of balance.  For Poincaré, the entropy is a probability, i.e. it obeys the laws of chance.  This chance is directed in time;  in a total system, the entropy is irreversible.  For Schrödinger, the entropy is rather synonymous with disorder, degradation.  One can consider that the Second Principle of the Thermodynamics which minimizes, by the probability, the evolution of the order in a closed system out of balance is a concept of optimization as those which we have just quoted in the preceding paragraph, i.e. probabilistic and ananthropic.  We will find in the chapter V other minimalist principles in physics. 

 

Conclusion

 

The use of anthropic concepts, in models or theories, can lead only to anthropic reasonings.  Only the reasonings resting on ananthropic concepts can lead to valid conclusions, ananthropologically..

 

Next : V A   probabilistic ananthropic model of the universe

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