Zobrazují se příspěvky se štítkemquantum mechanics. Zobrazit všechny příspěvky
Zobrazují se příspěvky se štítkemquantum mechanics. Zobrazit všechny příspěvky

úterý 27. ledna 2009

AWT and Bohmian mechanics

This post is a reaction to recent L. Motl's comments (1, 2, reactions) concerning the Bohm interpretation of quantum mechanics (QM), the concept of Louis de Broglie pilot wave in particular (implicate/explicate order is disputed here). Bohm's holistic approach (he was proponent of marxistic ideas) enabled him to see general consequences of this concept a way deeper, the aristocratic origin of de Broglie. It's not surprising, Bohm's interpretation has a firm place in AWT interpretations of various concepts, causual topology of implications and famous double slit experiment in particular. After all, we have a mechanical analogy of double slit experiment (DSE) presented already (videos), therefore it’s evident, QM can be interpreted by classical wave mechanics without problem..

Single-particle interference observed for macroscopic objects

AWT considers pilot wave as an analogy of Kelvin waves formed during object motion through particle environment. Original AWT explanation of double slit experiment is, every fast moving particle creates an undulations of vacuum foam around it by the same way, like fish flowing beneath water surface in analogy to de Broglie wave.



These undulations are oriented perpendicular to the particle motion direction and they can interfere with both slits, whenever particle passes through one of them. Aether foam gets more dense under shaking temporarily, thus mimicking mass/energy equivalence of relativity and probability density function of quantum mechanics at the same moment. The constructive interference makes a flabelliform paths of more dense vacuum foam, which the particle wave follows preferably, being focused by more dense environment, thus creating a interference patterns at the target.


By AWT the de Broglie wave or even quantum wave itself are real physical artifacts. The fact, they cannot be observed directly by the using of light wave follows from Bose statistics: the surface waves are penetrating mutually, so they cannot be observed mutually. But by Hardy's theorem weak (gravitational or photon coupling) measurement of object location without violating of uncertainty principle is possible. What we can observe is just a gravitational lensing effect of density gradients (as described by probability function), induced by these waves in vacuum foam by thickening effect during shaking.


Other thing is, whether pilot wave concept supplies a deeper insight or even other testable predictions, then for example time dependent Schrödinger equation does. By my opinion it doesn't, or it's even subset of information contained in classical QM formalism. This doesn't mean, in certain situations pilot wave formalism cannot supply an useful shortcut for formal solution (by the same way, like for example Bohr's atom model) - whereas in others cases it can become more difficult to apply, then other interpretations.

neděle 28. prosince 2008

Duality of relativity and quantum mechanics

The dual (invariant to R-1/R transform) character or general relativity (GR) and quantum mechanics (QM) was expressed in 1997 in form of so called Maldacena duality, based on AdS-CFT correspondence (1). This duality is based on fact, every relativity phenomena can be perceived as quantum mechanics phenomena, when observing from exsintric perspective instead of insintric one. As a classical example can serve the gravitational lens phenomena, which appears like relativistic aberration from perspective of internal observer, while it manifests itself like quantum uncertainty phenomena violating Lorentz symmetry postulate from outside perspective (1, 2).



It can be demonstrated easily, QM is dual to relativity via duality of gravity to omnidirectional universe expansion. It's not so well known (mainstream science covers it), quantum mechanics suffers serious experimental problem in general, because it predicts, every free particle should expand into infinite volume by solution of time dependent Schrödinger equation. This discrepancy can be explained by potential of gravity field, which keeps the particle "at place". The problem is, gravity itself cannot be derived from QM by any way. The omnidirectional collapse of space-time would have the very same effect, though.


GR suffers the very dual problem, as the J.A.Wheeler has demonstrated by geon concept (1) of geometrodynamics. Geon is hypothetical closed artifact, formed just by gravity waves spreading by graviton field. Every particle or black hole can be considered a geon from certain perspective. Albeit from GR follows, such geon should collapse into singularity by its own gravity, which can be prevented by omnidirectional space-time expansion. By such way, validity of GR can be saved by concept of space-time expansion by the same way, like validity of QM depends on space-time collapse.

This apparent paradox can be reconciled by concept of black hole/gravastar (i.e. graviton or "dark energy" star), forming our Universe generation. The gravitational collapse of such object is followed by gradual increasing of its internal density, which manifest itself as a omnidirectional space-time expansion from internal observer perspective, i.e. perspective of observer, which is formed by standing waves of such environment. The single concept can therefore explain the conceptual problems of both GR, both QM at the same moment.



By such way, we can understand the gravity action as an acceleration force in terms of omnidirectional expansion inside of Aether density gradient. Such gradient makes a gradient of expansion speed, i.e. the gravity force. Such approach has even it's own testable predictions, for example in slowing of speed of light or by gradual expansion and dissolving of kilogram/meter prototypes from long-term perspective (1, 2, 3) and its closely related to dark matter and dark energy phenomena.



Now we can understand as well, why numeric prediction of cosmological constant by GR differs by two hundreds orders of magnitude from those predicted by QM. QM follows the model of collapsing universe, while GR considers the concept of expanding universe on background.

sobota 6. prosince 2008

AWT and double slit experiment

Double slit experiment (DSE or DSX) is an iconic experiment of quantum mechanics, because it illustrates well quantum delocalization and collapse of wave function phenomena and you can play with it in Java applet herein. While mechanical analogy of DSE exists already, the AWT explanation of DSE experiment is quite easy and it follows exactly the macroscopic experiment.

This photo shows the droplet bouncing through one slit while its trajectory is deflected by the interference of the reflected waves from two slits.

By AWT vacuum has a foamy structure of Aether density fluctuations and every object is moving through vacuum foam like boat or fish beneath water surface. Such fish creates a typical undulations of water surface - a ripples, which are always perpendicular to the fish motion direction. In quantum physics such undulations are called de-Broglie wave.



At the water surface, the surface waves are increasing a density of density fluctuations, thus leading into formation of turbulence. In vacuum, such shaking increases a density of vacuum foam in direction, by which particle is moving, so that the speed of light remains invariant for such object. From outside perspective we could observe a relativistic contraction of such object. This connection illustrates a close relation of quantum mechanics and relativity:



Note that the deBroglie wave propagates through vacuum by speed of light, it always advances particle location like ripples spreading from swimming duck. While pin-point particle cannot pass through both slits at the single moment apparently, its deBroglie wave can do that without problem under formation formation of typical flabelliform interference patterns.



Because every shaking makes vacuum foam more dense, the vacuum density becomes non-uniformly distributed around particle, when passing through double slit. This affects particle motion accordingly, because by AWT every particle consist of standing wave packet and it propagates along foam branes like wave. All waves are focused by more dense environment, so that path of particle motion prefers the directions of flabelliform patterns. At the case of repeated experiment, the particle traveling through random undulations of vacuum foam follows the wave interference patterns at target. Note, that such interpretation doesn't require mutual interaction of individual particles during experiment - path of particle spreading remains affected by interference even at the case, when only single particle gets involved into experiment.

čtvrtek 13. listopadu 2008

Was relativity proved by quantum mechanics phenomena?

The fractal character of nested Aether foam leads to the formation of dualities from human logic perspective. Consecutive logic of human thinking is dual to intuition, which is collective result of many synapses actions at the same time. Therefore by human logic the observable reality is described strictly by surface gradients and transversal wave spreading (so called "gradient driven reality"), while the information mediated by longitudinal waves of many particles is perceived as a "quantum chaos". Therefore Aether appears as composed from layers of causal membranes, surrounded/alternated by gradually more chaotic particle field and vice-versa. Human understanding consists of formal theories dualities, alternated by zones of intuitive understanding / philosophy, which are forming an uncrossable barriers between both theories from formal math perspective due their divergence into landscapes of infinite many solutions. On the other hand, every tendency to describe the universe by formal theory with infinite exactness leads into scrambled perceiving of reality as well, because of mixed inner/outer perspectives during interpretation of individual theories.

The supersymmetric situations, when formal model was used as a logical explanation of dual theory and vice-versa were not so rare in history of physics. The so-called geocentric model of Ptolemy was formalized by introducing of epicycles concept by Tycho de Brahe up to precision, which could serve for astronomical predictions well. Therefore Galileo opponents, the proponents of Holy Church in particular have objected to Galileo by predictability of geocentric model, which could serve as an indirect confirmation of its logical validity. How we know today, this logic was quite weak from observational perspective - but still not quite wrong from more AWT perspective.

The very same situation has repeated in physics at the beginning of 20th century, when Einstein has come with his relativity theory. With respect to relativity, the quantum mechanics is dual theory in many aspects. Therefore is nothing strange, Einstein has opposed quantum mechanics violently, especially its concept of quantum uncertainty ("God does not play dices with the universe.", EPR paradox) by the similar way, like many string theorists are objecting the LQG theory by now. The relativistic aberration (observed first by Eddington, 1921) and gravitational lensing (observed by F. Zwicky 1932) are both considered as iconic phenomena of general relativity. Therefore we can expect, Einstein would be quite surprised by claim, the relativistic aberration or gravitational lensing are quantum mechanics phenomena, not relativity effects. While such stance appears ridiculous (both effects were predicted and computed just by using of relativity) - exactly the opposite appears correct from AWT perspective!

The main problem is, the gravitational lensing was interpreted as a result of space-time curvature, which should manifest itself by time dilatation, which was never measured directly. From strictly causal perspective, only the curvature of light path can be measured due the local character of (special) relativity theory. By special relativity the light is always spreading by constant speed through vacuum, so no refraction phenomena should be observed both at macroscopic scale, both at microscopic scale, if we consider, the elementary particles are pinpoint objects, surrounded by vacuum, too. The observer, falling into black hole would see the speed of light unchanged and straightforward even at the case, he would encircled the black hole together with photons, thus effectively staying at rest from more general perspective. As we can see, every local postulate violates explicit theory from more general perspective less or more lately.

The quantum gravity character of relativistic aberration follows from the fact, the fragmentation of image by gravity lens introduces a multiverse aspect into observation, because it makes the observed object location uncertain, thus violating a single-time arrow causality and Lorentz symmetry. By such way, prof. Einstein succeeded in persuasion of mainstream physics community about validity of relativity theory by using of experiment, which can be interpreted as a direct violation of Lorentz invariance and relativity as such..;-) We can compare it to the "proof" of geocentric model on background of successful prediction of solar eclipses by using of epicycle model of Ptolemy. While lack of exactness is apparent in every theory based on non-formal logic, such doublethink and lack of logic is less or more hidden problem of every formal approach as a manifestation of Gödel uncertainty theorem.