## giovedì 18 settembre 2008

## sabato 6 settembre 2008

### Space - Time interchangeably in Science and Art.

di Paolo Manzelli: pmanzelli@gmail.com; www.egocreanet.it , www.edscuola.it/LRE.html , www.wbabin.net

Interchangeably of space with time and viceversa in critical cycles was a fundamental idea of the ancient “Yin -Yang” alchemical theory of transformations in the Universe.

This cyclic conception, where “Yin as Time” and “Yang as Space” can exchange each with the other, was definitely substituted in the industrial era , in fact the unique frame of reference becomes based on the Euclid-Geometry (1), where the model of Space-Time is defined by three orthogonal coordinates plus one coodinate for the timing succession.(XYZ,T)

After the relativity proposed by Albert Einstein (1905) was taken in more serious consideration the three possible curvatures space geometries for the Universe. The ratio of the “mass/energy density” “W” through its critical values determines the 1) close or, 2) open or, 3) flat geometry of space. (2)

1) An Universe where the density of matter is high ( Universe/spherical space), locally parallel light rays ultimately converge . W > 1 Curvature is positive, and space is “close”.

2) An Universe where the density of matter is low (open Universe/hyperbolic space), locally parallel light rays ultimately diverge. W <>Universe where the density of matter is the 'critical density' , locally parallel lines remain parallel. W = 1,Curvature is zero, and space is “ flat “.

http://en.wikipedia.org/wiki/Shape_of_the_Universe

In the last century scientists became increasingly interested in the foundations of geometries with an arbitrary number of extra space dimensions e.g. overcoming the classic three dimensions .

A six-dimensional object cross section :http://space.newscientist.com/article/dn11172-satellite-

could-see-shadow-of-extra-dimensions.html

Non Euclidean Geometries of curved spaces as Hyperbolic Geometry , or Elliptic Geometry,.. are intensively studied in science and in art .

http://original.britannica.com/eb/art-322/Contrasting-triangles-in-Euclidean-elliptic-and-hyperbolic-spaces

**Fishes in M. C. Escher's hyperbolic Geometry**: http://www.mathaware.org/mam/03/

Really in every epochal change both art and science involve a creative review of thinking about the relations between the events, changing accordingly the temporal structure. In fact, during the “agricultural era” the misuration of time was made with the “Klessidra”; so that the double dimension of time was shown through the cohabitation of two cyclical weather conditions, ( light-dark; hot, cold; dry, rain,...). The hourglass in fact has incorporate in the specific form of the cyclical dimension of time flow, and so that its structural form, indicates the temporal duration which follows the rhythmic dynamics of natural events. The industrial society has instead preferred the mechanics measurement of the “clock”, because is being more interested in movements that are repeated constantly in a shortest time ever, characterized by the acceleration of motion.

Therefore, the great sensitivity to any epochal change of modern art, has characterized the requirement of rebuilding mechanical conceptions of time as new relationship between historically events. In fact a new relationship between early-contemporary events, finds its mark on paintings by Salvator Dali (1904-1989) , which interpret artistically the “expansion of space and time” and their mutual dependence, acquired at about the same times by Science with the “Theory of Relativity” as was formulated by Albert Einstein. (1905).

**Dali’s Persistence of Memory . (in flexible non-linear time)**

**Dali’s the Disintegration of the Persistence of Memory.**(after the Nuclear Bomb in in Hiroshima, then Nagasaki)

http://www.terry.ubc.ca/index.php/2007/11/28/the-art-of-science-the-science-of-art/

More recent descoveries of quantum science, deeply modify the organization of space-time before considered as a continuum, based on the space defined by three vectors and only one givin the orientation of time's flow. In fact at the quantum level photons (carriers of luminous phenomenon), moves corpuscularly and in the same time possesses wave caracteristics. Light, (as phenomenon characterized by corpuscular-wave dualism), recently has shown two distint forms of „photon-spin“ e.g. with clock-wise and counter clock-wise properties. Therefore photons emitted by a laser-clock, need to take in consideration that, syncronised beams, can be spitted, through a magnetic spin analizer,in two diffacted energy fields, according to the sense of rotation. Thus we observe that whenever we think about time, without making reference to a mechanical phenomenon, highlights the fundamental insight of the ancient idea of Chinese alchemy, founded on the double interchange between “YIN / YANG” in Taoism , that corresponds also in quantum-scale to a mutual synergy between time and space.

PHOTON-SPIN : focus.aps.org/story/v17/st15

In fact, at “quantum-scale”, under a space-time confinement of photons, the “entanglement” actions can re-locating the organizational structure of the four-vectors of relativistic space-time (3). Quantum confinement causes a deep overlap the waves associated with particles, so that confinement actions, get some critical changes of space-time, in correspondence to the changes driven by the space sise values of confinement, among the different forms of energy (“Ev//Em//Ei”). So, when a beam of photons speed up to reach the wall the velocity of light, the confinement action produces the compaction of the waves, realizing the quantum entanglement between photons. This will implement the critical transition between the three-dimensional structure of space and only one for the time, towards the two-dimension both in space and time (XYZ, T <-> XY, T1, T2), that characterizes the form of Information Energy (Ei) (4).

Now, if we take into consideration,(during the process of confinement), the existence of two spins in the beam of photons, then the entanglement action, generates two fields "Ei-Up" and "Ei-Down", characterized by different properties of those bidimensional “Ei fields”, driven by two opposite clock and counter-clock rotations. Finally, if these two fields "Ei-Up" and "Ei-Down" incorporate among them some photons, the new twisted confinement action, realizes a new critical transition of space time, which is restructuring in the following step (XY, T1, T3 <-> X, T1, T3, T3), that generates the hyperbolic composition of space time, used as a logo of the centennial of relativity that can be considered as the quantum space time structure of “tunnelling effect”.

It is important to know that the subsequent critical transitions of the structure of space-time to higher quantum levels, are obtained utilizing the loss of kinetic mass of photons,( following the application of the EINSTIEN's formula “ E = mc2 " ), caused by the confinement which generate the successive Entanglement- actions above descibed .Finally a similar hyperbolic space-time structure can be obtained in the macro-world in the case of cosmological “Black-Holes”.

http://www.bnl.gov/rhic/black_holes.htm

The above “insight on quantum confinement” is based on the “Space-Time Equivalence” among the four-arrows. This equivalence concept follows the fundamental convinction that time and space are both fundamental driving parameters of existence , so that they can transform each to other in critical conditons, generating parallel simultaneity among three geometrical organizational structures of Space-time, in order to “self-organizing” the best interactive composition among the different forms of energy (Ev//Em//Ei), to maintain constant the “Total Energy Principle”.

In conclusion a new world-view can be shown in connection with “Quantum Bio-Physics” theory; in fact at quantum scale the “time-space equivalence” can include the “YIN-YANG” ancient Chinese alchemy , where two two opposing yet cooperating entities of time and space , can critically exchange each to the other in the flow of the “Universal Life”.

BIBLIO ON LINE

(1) - Lesson on Euclid-Geometry :http://www.regentsprep.org/Regents/math/geometry/GG1/Euclidean.htm

(2) Curvature of 3-Dimensional Space : http://www.jupiterscientific.org/sciinfo/cosmology/frwgeometry.html

(3) Space-time Conversions : http://www.edscuola.it/archivio/lre/space_to_time_conversions.pdf http://www.descrittiva.it/calip/dna/BIOQPHY2.pdf

(4) Quantum Realms ; http://www.edscuola.it/archivio/lre/quantumrealms.pdf ;

http://www.wbabin.net/science/manzelli39.pdf

Ronald C. Blue : “The observer effects the organization/information of the fractal entanglement”

http://quantum.ibiocat.eu/eng/index.php?pagina=164

### Time-Space Models in Science

In the “Classical Mechanics” model of space- time, the role of time was traced back to Kantian notion of time as an a priori category for our consistent mind-perception of the outside real world .In fact in Newton’s own words (Newton, 1687): “Absolute, true and mathematical time, of itself, and from its own nature, flows equably without relation to anything external.” Newtonian absolute time (is declared but not explained), flows uniformly in a globally synchronous and simultaneous manner with space, till from the origin of both time and space. In fact the Newton’s admission is that : at every moment you are in "simultaneity" and in perfect synchronism at a defined place by three orthogonal coordinates. (in 3D = XYZ + one for the linear time “t”)

The supposed "simultaneity" and synchronism between time and space , was accepted in classical mechanics this because of a dominant role particles and rigid localized bodies play in classical physics; so that the notion of space, as absolute vacuum container of bodies and time (t), as a linear counter of the relationships among rotational or transitional changes berween two or more local positions for any body, seemed unproblematic in the context of the classical science in relation to the so-called 'local” physical state .

From http://www.flickr.com/: Rubik cube is representative of our 3D space, while the clock is providing 4th dimension

For the “Special Relativity (SR-1905)”, movements (in 3D space) with respect to time, becomes fourth dimensional Continuum.. As a matter of facts , according to SR, the presence of mass in a specific region in space causes a local spatial distortion. In fact in the well of space-time, space can become dilated assuming a spherical dimension. (3) As a consequence, relative Time changes are caused by the difference in time measurement between two observers, where one moves with respect to the other. It is important to observe that also in SR it is postulated the synchronism and “simultaneity” of relative changes in space and time also in the case of the dilation caused by a gravity well. Besides it is important to consider that following the SR theory, a photon traveling near the maximum of light speed, need to become flattened into a wave front, with two dimension of space .In that case, when the photon become flat (4), there are no more evidence of the unique direction of time, therefore it become necessary to conceive a flat geometry of space-time with two dimension of time as was anticipated in the artistic vision of the flat clocks of Salvador Dali’.(5)

S.Dali-particular, Double Time Direction

Therefore in SR theory the time is no more a linear function; in fact to maintain constant the maximum speed of light can be observed a length contraction an therefore a time dilation. SR indeed predict that time should run slower near a massive body, because light loses energy when it travels away from a gravitational field. This because there is a relation between the energy of light and its frequency (E = h f ; with “ h” Planck's constant) : greater is the energy, then higher the frequency. So that as light travels upward in a gravitational field, it loses energy and so its frequency goes down. This means that the length of time between one wave crest and the next goes up. To an observer high up, it would appear that everything below was taking longer to happen. Therefore on the basis of the “Theory of Equivalence between mass and Energy ” (E =mC2) as well as happen a space spherical contraction ,we observe in "simultaneity" a time dilation and viceversa.

Theory of Equivalence

The logical trouble produced by no linear time is consequent to an apparent limitation of the “information” that assumes random solutions from an ordered state to a disordered one ; in fact any forecast of the motion, can be expressed only by means the probability calculations. This is rationally derived by maintaining the conceptual domination of an unique “local” form of space-time. In fact Einstein’s SR theory remain formulated by setting a four dimensional continuum based on three ordinary dimensions of space combined with a single dimension of time to form a four-dimensional Vectors V=(XYZ,t) for representing a Space-time, where the length of a four-vector is invariant under the space coordinate transformation, while the time coordinate remains based on a single direction, e.g. time coordinate is not an operator and as a single parameter do not commute with the space coordinates. It is proved that thinking in this paradigmatic way, every relativistic explanation shown to give un-correct solution to the motion and infinity producing paradoxes, as the similar ones originally conceived by the ancient Greek mathematician Zeno of Elea. (6)

The theoretical basis of “Quantum Mechanical theory” (QM) starts from the question of Time that cannot show, at the microscopic level, an unique linear direction. In fact out of side of the observable macro systems, where if we observe the stars we do not influence the direction of their motion, differently in micro-systems the Quantization of Energy can be seen as a rationale consequence of the limitation of information, essentially because time loose a pre-defined direction of flow. In fact in QM is not more possible the assumption of a precise "simultaneity" and synchronicity between time and space, that is underlying any dynamical classical or relativistic process, in order to maintain the contemporarily correspondence that permits to assume that for any position of a photon we can forecast the time direction of any successive event.

As a matter of facts at the heart of the QM lies another “simultaneity” based on a dualistic behavior between particles and waves on the basis on their complementary nature.

Complimentary properties of wave and particles can be exchanged ; therefore in absence of the linear direction of time “uncertainty” prevails in the forecast of the relationships Energy and Time.

In fact the action of observing a wave//particle system need to accept the Uncertainty Principle (Heisenberg-1927), that put in crisis the deterministic approach of Classic and Relativistic Physics.

As a consequence, in the orthodox acceptation of QM, the probable wave collapse in a measurement process, is not a physical phenomenon . In fact the knowledge of the particle can be associated to the collapse of the probabilistic wave-function, and therefore knowledge of the Quantum-system exist only if we exclude in the act of measurement the "simultaneity" of the knowledge of the wave and viceversa. Besides there is no more synchronicity of observation, in fact, when in QM if you look for a wave you exclude knowledge of the particle and viceversa looking for the particle you exclude the knowledge of the wave.

On the basis on those ways of reasoning it is easy to focus that one of the major scientific problem of our time is to avoid to be in presence of three incompatible Physics theories, Classic and Quantum-mechanics and Relativistic , that cannot be unified, this because each of them get troubles to unify their conceptions, fitting into a predefined and unique “space and time paradigm”. In fact from the ancient view of Euclides, science basically would ever maintain an undisputable "simultaneity" of relationships between “pure” time (based on timing-succession of instants ) and “pure” space (in forms line-surfaces - and volumes).

A new opportunity to solve those dilemmas is given by the Theory of Entanglement (7-8) of wave/particles that permits to open new perspectives in Quantum Space-Time geometry. (9)

In fact we can associate time directions with the modes of “information” (embodied in Vibrational Energy (Ev) and In Energy condensed as matter (Em) in relation to different geometrical organization of the direction of the four vectors, describing three levels of Space-Time architectures. These Space-Time (S//T) structures can be organized reassembling the geometry of the four vectors at different levels of “quantum-architectures”. (see follow figure) The changes in Quantum Architectures, are driven through critical singularities producing ultra fast “space ßà time conversions” (10) obtained through S//T confinement activities of Entanglement among Quantum-particles, that modify the alternative composition among the fundamental forms of Energy , Ev, Em, Ei . (11)

Legenda of : Quantum Space Time image.

a) Photons with spins Up and Down in a Closed –Local Geometry of Space –time (S//T) (XYZ,t)

b) First “Entanglement” activity happen through an confinement action between two or more Photons-Spin , generating two kinds clockwise and counter clock wise , organization (XY,t1,t2) of the four vectors in a “no-local” flat- geometries of S//T.

c) Second “Entanglement “ activity generating an Hyper- S//T Geometry (X,t1,t2,t3) , happen trapping one or more photons between clock and un-clock , no-local flat geometries of new energy , derived from the first “Entanglement” activity.

The upper figure proposes a novel structure of Quantum Geometry of S//T , based on different quantum-organization of space time arrows. The conversion between space and time is produced when the wave-patterns associated to the quantum particles becomes flat in space, so that the component of space vector, orthogonal to the direction of the confinement action dissolves, changing in the complemented time’s arrow generating a Quantum-geometry of S//T (XY,t1,t2).

Therefore the “first Entanglement action” on Quantum-particles produces a variation of between the geometrical relationships among S//T arrows, generating a No-Local Quantum -architecture. The space become flat and the time becomes two dimensional, as it is characteristic of the new form of Energy represented by the a new pure wave field of “Information Energy” (Ei) . The area of this field is proportional with the number of wave/particles enjoining the quantum entanglement activity. As a consequence, in relation to this field of Ei , the “simultaneity” becomes extended in the space, between the space’s arrows (X-Y) and the synchronicity assumes a duration, between the time interval (t1-t2) .The existence of this peculiar Quantum S//T structure, based on pure Information Energy, is extremely important as reference frame of self-organization phenomena , because this “Ei-field” get the possibility to share at distance a “no-local” information (between the X-Y), in simultaneity and also in synchronicity , between t1-t2 time’s arrows. In conclusion, the first action of entanglement, allows a variable extension of “simultaneity” and a variable widening of synchronicity between both the binary dimensions of space and time, as a consequence of the polarity of origin of space//time vectors, assumed in the quantum-geometry level of “Ei-Field”.

A second Entanglement activity, is due to a more complex phenomena of double confinement based on a fluctuating action and resulting in an Hyper-S//T Quantum Geometry, that can be important for developing a revision of “quantum –tunneling” , and also, if the confinement activity, generating a second Entanglement effect, acts on the strong range of nuclear forces, it produces S//T Hyper structures of the type showed in the Black holes.

The tunneling effect can be explained through the wave complex behavior, that happen when some photons will be trapped between two coupled S//T polar-configurations, based on clockwise and under-clockwise oscillating vortex. In this case a new conversion of space to time is shown and appears to dissolve a new space vector, in order to generate an Hyper- S//T Quantum Structure. As a matter of fact, when two "Up and Down Ei-Fields" will be over-positioned, so that the twisting movement can trap other photons at the interface, generating a second entangled structure of S//T transformation described by the coordinates (X,t1,t2,t3). In this scenario , X represent the unique dimension of the Space flow, that is related to three vectors for the time (t1 = first time period) , the first is relative of the Circular Right helicity of the (UP) state , (t2 = second time period ), the second is relative to the Circular Left helicity of the Down State, and t3 , the third is the time period of the Twisting Time-frequency of reciprocal complementary critical changes of opposite circular-cyclic movements, in a way that both can find a synchronic correspondence with a critical re-cycling pulses in simultaneity of th e double excitation between two kinds of vortex, acting in clock and un clock polarizations of Ei-fields. Those new Quantum geometries of S//T can be based on a critical equivalence between similar arrows each composed by a synchronic simultaneity between a double dimension in Space (X) and Time (t) that give as a resultant four equivalent vectors

BIBLIO-ON-LINE.

(1) - Time in Quantum Mechanics : http://philsci-archive.pitt.edu/archive/00000368/00/time.doc

Quantum time : http://timeandquantummechanics.com/

(2) Theory of Relativity: http://www.zamandayolculuk.com/cetinbal/HTMLdosya1/RelativityFile.htm

(3) Dilation Effect : http://background.uchicago.edu/~whu/physics/isw.html

(4) Space-dimensions : http://www.rmcybernetics.com/science/physics/dimensions.htm

(5) History in Art and Science ; http://www.pas.rochester.edu/~jennifer/Final%20paper.doc

(6) Twin paradox : http://www.phys.unsw.edu.au/einsteinlight/jw/module4_twin_paradox.htm

(7) Entanglement Theory : http://www.wbabin.net/science/manzelli11.pdf

(8)Entanglement in in Bidimensional S//T : http://www.edscuola.it/archivio/lre/bidimensional_space_time.pdf

(9) Quantum S/T Geometry : http://www.edscuola.it/archivio/lre/space_time%20geometries.pdf

(10) Space-time Interchanges: http://guide.dada.net/educazione_alimentare_/interventi/2008/08/336706.shtml

(11) Fundamental Forms of Energy Ev,Em,Ei : http://www.wbabin.net/science/manzelli34.pdf

(12) "Repurposed" – Clock- art the wave-images as time passed.

- Cynetic clock in You-Tube film can be a model for the conversion between space and time where time is shown by the wave patterns that appear and dissolve to an exact time duration. http://www.youtube.com/watch?v=l5Sl_Lqpkvo

http://blog.makezine.com/archive/2007/03/repurposed_clock_into_kin.html?CMP=OTC-0D6B48984890

Quantum Tunneling Microscope :http://arslounge.com/tag/math%20science/

IBM- photo of confined electrons in artificial structures at nanometer length-scale

The above image shows the QTM observation of standing waves oscillations of Cu (111) of two dimensional electron-gas surface.