Here are some examples in action: 80.lv - 9 Jan 19 Using the Wave Function Collapse Algorithm for Infinite Procedural Cit Have a look at the concept of a game by Marian where users walk through an infinite city that is procedurally generated as they walk. Wave-Function-Collapse Straight out of quantum mechanics, Wave Function Collapse is an algorithm for procedural generation of images. Implement wave-function-collapse with how-to, Q&A, fixes, code snippets. Code on this page in its current state may be flagged incorrect once this task has been clarified. My reasoning is that as Entropy is a measure of the "unpredictability" of information content (in this context), the more we know the less entropy there is. Entanglement means that one coherent wavefunction is describing a system. I guess thinking about it classically, Demystifier's argument must be right. Once the state is observed, and entropy is equal to zero, the wave function collapses. Wave Function Collapse using faulty recording devices. This increase of entropy by projective measurement assumes that a true collapse does not exist. The Wavefunction Collapse Algorithm teaches your computer how to riff. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. These wave functions may describe many body systems, but they are . The algorithm is called Wave Function Collapse, and it actually has nothing to do with quantum physics. with sh*t. [Physics] Local measurement of entangled particle pairs and interpretation of state, [Physics] What processes cause the collapse of a wavefunction and break entanglement, [Physics] When light reflects off a mirror, does the wave function collapse. Copy of Copy of Copy of CPSC 355: Tutorial 10. But the situation is different, if you consider the measurement realized, the posterior wavefunction give the probability conditionated to the measurement result, if you dont considerate the collapse and considerate the total evolution, you only obtain the probability of measurements, not conditionate to no result of a measurament. For a single particle, W = 1, so S = 0. SummaryMechanisms of the wave-packet collapse are studied by using the density matrix with the internal trace for detector variables. The good question is why the direction in which entropy increases is everywhere the same, i.e., why it is not the case that entropy increases in one subsystem and decreases in another? How exactly does the collapse happen? When a wave function disappears, something new appears in its place - a definite position, a piece of information, a tick of energy.. Why? This describes the change from a system that can be seen as having many possible quantum states (Dirac's principle of superposition) to its randomly being found in only one of those possible states. Collapse of the wavefunction means a quantum mechanical interaction that will change the energy E , an extra microstate. Playlist: https://www.youtube.com/playlist?list=PLcRSafycjWFeKAS40OdIvhL7j-vsgE3egWave function collapse is an algorithm that can proceduralny generate a much bigger output - be it an image or in our example a tilemap, that resembles a smaller input tilemap in its overall structure. eigenstates of the quantum Hamiltonian). Basic concepts to visualise the wave collapse function is : slot and entropy. Information (Shannon) entropy describes degree of lack of knowledge of some system given probabilities for its states. Big thanks to bluevie for pointing out my mistake in in previous video. Added some entropy constraints based on amount of adjacent tiles that are defined. ( Source) It is most commonly used to create images, but is also capable of building towns, skateparks, and terrible poetry. So after the "collapse" there is one more microstate introduced into the statistical entropy , (maybe a photon has gone off). Choose minimum entropy cell, and "collapse" to a valid state (if no such cell, finish) . . It has high code complexity. I dont know if it is beacuse it is not possible or it is not clear that it is possible, but it is a pending question. . Coherent means that all the phases entering the problem are theoretically known for each particle , a single wave function describes the system . That is the slot which has the least amount of choice (or chaos). At a microscopic level, the gas consists of a vast number of freely moving atoms, which occasionally collide with one another and with the walls of the container. Did Great Valley Products demonstrate full motion video on an Amiga streaming from a SCSI hard disk in 1990? . ), http://en.wikipedia.org/wiki/Density_matrix#Entropy, http://transactionalinterpretation.org/2012/10/09/to-contact-me/. "Test of wave function collapse suggests gravity is not the answer". we can only access the state of a subsystem)? By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Usually, the quantum states are discrete, even though there may be an infinite number of them. Seems like it might be pretty rudimentary but I want to see if my thinking is on the right track as well as what the result means. In "ideal" cases the entropy will remain the same and in most "real-life" cases it will increase. Provided the system is in thermodynamic equilibrium, the system can be adequately described by a handful of macroscopic quantities, called "thermodynamic variables": the total energy E, volume V, pressure P, temperature T, and so forth. How does one mathematically model a wave function after a collapse to a finite region? Just an aside question, but is the wavefunction collapse the same as the collapse of an entangled system? There is nothing special putting measurement apart from any other physical process. This Library - Reuse. The macrostate of the system is a description of its thermodynamic variables. If you've come here hoping to learn about quantum physics, you are going to be disappointed. At a microscopic level, the gas consists of a vast number of freely moving atoms, which occasionally collide with one another and with the walls of the container. Information entropy is not the same concept as thermodynamic entropy. If we happen to live in an entropy-decreasing era, we will naturally redefine the sign of time accordingly, i.e., re-interpret it as an era in which entropy is increasing. Collapse of the wavefunction means a quantum mechanical interaction that will change the energy E , an extra microstate. After that, press the Generate button to see the results. 2nd law does not necessarily apply to the Universe. Interesting, I haven't thought along these lines before. if the five words "collapse of wave function" are replaced by "XXXXX", it will not affect understanding). Entropy increases when we forget, according to Landauer's exorcism of Maxwell's demon. This should affect the output to be a little better.Playlist: https://www.youtube.com/playlist?list=PLcRSafycjWFeKAS40OdIvhL7j-vsgE3egWave function collapse is an algorithm that can proceduralny generate a much bigger output - be it an image or in our example a tilemap, that resembles a smaller input tilemap in its overall structure. I want to talk about it here, from the viewpoint of natural language generation. Stack Exchange network consists of 182 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Colapse this tile meaning pick one of possible patterns at that location with the highest probability and assign it to that tile. Before "collapse" we only have probability distributions from the state function. Does the wave function collapse cause information to be created? The microstate of the system is a description of the positions and momenta of all the atoms. The wave function tells us the abstract probability of finding the particle somewhere. When the Littlewood-Richardson rule gives only irreducibles? Stack Overflow for Teams is moving to its own domain! Measurement gives us more information, which is a reduction in entropy. But there is no QFT theory for this interpretation. Can you recommend a not too technical article which expands on this? I dontknow details about the Bohmian interpretation. Like in calculations in probability theory. This video we finally create output tilemap out of the WFC resultUseful links:https://dotnettutorials.net/lesson/two-dimensional-array-in-csharp/https://softwareengineering.stackexchange.com/questions/212808/treating-a-1d-data-structure-as-2d-gridhttps://stackoverflow.com/questions/1738990/initializing-jagged-arraysI will try to upload as much episodes as I can but if I can't I will have them all done in a day or 2. Are witnesses allowed to give private testimonies? I discuss the issue of 'collapse' in detail in my new book in terms of the Transactional Interpretation, This thread is interesting, because opposite answers are given. All that ever collapses is a state vector, when the experimenter acquires new experimental information. In . Entropy is not defined for one particle, in physics. Mobile app infrastructure being decommissioned, number of microstates associated with two-level quantum systems, Local measurement of entangled particle pairs and interpretation of state. MIT, Apache, GNU, etc.) When light reflects off a mirror, does the wave function collapse? twitter.com lie Michel (exppad) The algorithm maintains, for each pixel of the output image, a probability What processes cause the collapse of a wavefunction and break entanglement? Overlapping Wave Function Collapse (OWFC) To perform the entropy resolution, an arbitrary pixel is selected in the output and assigned one of its possible color values. Collapse is a way of saying "interaction" or "measurement". I think given that stevendaryl explicitly asks about collapse, the answer is that entropy is, [] but on the other hand, the state becomes more definite after a measurement, which would make me think that the entropy has been. To get the probability distribution we have to do many identical setup "collapses"/measurements so as to determine the square of the wavefunction before "collapse". Entropy is a statistical concept: S = k ln W (to quote Bolzmann) wherein the W irepresents the number of possible microstates corresponding to the macroscopic state of a system. When we go to the quantum mechanical framework : The quantum state of a system can be expressed as a superposition of "basis" states, which can be chosen to be energy eigenstates (i.e. But the fact is that something resembling the wave function collapse does exist (which decoherence by itself cannot explain, which is why decoherence does not completely solve the measurement problem). Big thanks to bluevie for pointing out my mistake in in previous video.
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