We discuss V.P. Belavkin's approach to the Schrödinger cat problem and show its close relation to ideas based on superselection and interaction with the environment developed by N.P. Landsman. The purpose of the paper is to explain these ideas in the most simple possible context, namely: discrete time and separable Hilbert spaces, in order to make them accessible to those coming from the philosophy of science and not too happy with idiosyncratic notation and terminology and sophisticated mathematical tools. Conventional elementary mathematical descriptions of quantum mechanics take "measurement" to be a primitive concept. Paradoxes arise when we choose to consider smaller or larger systems as measurement devices in their own right, by making different and apparently arbitrary choices of location of the "Heisenberg cut". Various quantum interpretations have different resolutions of the paradox. In Belavkin's approach, the classical world around us does really exist, and it evolves stochastically and dynamically in time according to probability laws following from successive applications of the Born law. It is a collapse theory. The quantum/classical distinction is determined by the arrow of time. The underlying unitary evolution of the wave-function of the universe enables the designation of a collection of beables which grows as time evolves, and which therefore can be assigned random, classical trajectories. In a slogan: the past is particles, the future is a wave. We, living in the now, are located on the cutting edge between past and future.
We discuss V.P. Belavkin's approach to the Schrödinger cat problem and show its close relation to ideas based on superselection and interaction with the environment developed by N.P. Landsman. The purpose of the paper is to explain these ideas in the most simple possible context, namely: discrete time and separable Hilbert spaces, in order to make them accessible to those coming from the philosophy of science and not too happy with idiosyncratic notation and terminology and sophisticated mathematical tools. Conventional elementary mathematical descriptions of quantum mechanics take "measurement" to be a primitive concept. Paradoxes arise when we choose to consider smaller or larger systems as measurement devices in their own right, by making different and apparently arbitrary choices of location of the "Heisenberg cut". Various quantum interpretations have different resolutions of the paradox. In Belavkin's approach, the classical world around us does really exist, and it evolves stochastically and dynamically in time according to probability laws following from successive applications of the Born law. It is a collapse theory. The quantum/classical distinction is determined by the arrow of time. The underlying unitary evolution of the wave-function of the universe enables the designation of a collection of beables which grows as time evolves, and which therefore can be assigned random, classical trajectories. In a slogan: the past is particles, the future is a wave. We, living in the now, are located on the cutting edge between past and future.
Quantum mechanics provides us most fundamental descriptions of our most early universe, but there is a long-standing debate amongst theoretical physicists about what all these mathematics really mean in real world? The present three-dimensional (3D) universe, we humans experience daily since our birth, is probably just one of an enormous numbers of essentially classical worlds, and all quantum phenomena arise from a universal force of repulsions that prevented many universes (Multiverse) from having identical physical configurations like ours. Probabilities arise only because of our human ignorance as to which in our world an observer occupies a position in space time. This picture is all that is needed to explain bizarre quantum effects such as particles that can tunnel through solid barriers and wave behavior in double-slit experiments or in a warm hole. Our many-interacting-universes approach hinges on our assumption that interactions between deterministically evolving worlds cause all quantum effects. Each world is simply the position of particles in three-dimensional space time, and each would evolve according to Newton’s laws, if there were no inter world interactions. A surprising feature of human approach was that the formulation contains nothing that corresponds to the mysterious quantum wave functions, except in the formal mathematical limit in which the number of worlds becomes infinitely large. Conversely, Newtonian mechanics corresponds to the opposite limit of just one world. Thus, our approach should incorporate both classical and quantum theory. As few as two interacting worlds can result in quantum like effects, such as tunneling through a barrier. Many interacting worlds theory (MIW) explains that rather than standing apart, an infinite number of universes in the early time shared the same space and time as ours. They show that the theory can explain quantum mechanical effects while leaving open the choice of theory to explain the universe at large scales. This is a fascinating new variant of multiverse theory that, in a sense, creates not just a doppelganger of everyone but an infinite number of them all overlaying each other in the same space and time. The fine tuning of parameters required to reproduce our present day universe suggests that our universe may simply be a region within an eternally inflating super-region. Many other regions beyond our observable universe might have existed in earlier times with each such universe governed by a different set of physical parameters and laws. Collision between these regions, if they occurred, should have left signatures of anisotropy in the cosmic microwave background (CMB) but have not been seen yet. We assess different mechanisms for this residual emission and conclude that although there is a 30% probability that noise fluctuations may cause foregrounds to fall within 3σ of the excess, there is less than a 0.5% probability that foregrounds can explain all the excess. A plausible explanation is that the collision of our universe with an alternate universe, whose baryon to photon ratio is a factor of ∼ 4500 larger than ours, could produce enhanced Hydrogen Paschen-series emission at the epoch of recombination. Future spectral mapping and deeper observations at 100 and 217 GHz are needed to mitigate systematics arising from unknown galactic foregrounds and to confirm this unusual hypothesis. After careful analysis of the spectrum of the CMB, Chary et al. found a signal that was about 4500x brighter than it should have been, based on the number of protons and electrons. Scientists believe that this existed in the very early universe. Indeed, this particular signal, an emission line that arose from the formation of atoms during the era of recombination is more consistent with a universe whose ratio of matter particles to photons is about 65x greater than our own. There is a 30% chance that this mysterious signal is just noise, and not really, a signal at all; however, it is also possible that it is real, and exists as a parallel universe. Keywords : Quantum mechanics, multiverse, Newtonian mechanics Cite this Article Pranab Kumar Bhattacharya, et al . Schrodinger Cat's Experiment's Interpretation and Parallel Universe or Multiple Universes. Research and Reviews: Journal of Space Science and Technology. 2016; 5(1): 35–52p.
The basic idea of quantum mechanics is that the property of any system can be in a state of superposition of various possibilities (or eigen states).This state of superposition is also known as wave function and it evolves linearly with time in a deterministic way in accordance with the Schrodinger equation.However, when a measurement is carried out on the system to determine the value of that property (say position), the system instantaneously transforms to one of the eigen states and thus we get only a single value as an outcome of the measurement.Quantum measurement problem seeks to find the cause and exact mechanism governing this transformation.In an attempt to solve the above problem, in this paper, we will first define what the wave function represents in real-world and will identify the root cause behind the stochastic nature of events.Then, we will develop a model to explain the mechanism of collapse of the quantum mechanical wave function in response to a measurement.In the process of development of model, we will explain Schrodinger cat paradox and will show how Born's rule for probability becomes a natural consequence of the measurement process.
The main distinction between classical mechanics and quantum mechanics is the lack in the latter of a full mechanical determinism: different final states can arise from the same physical state, after the measurement. No hidden variable is supposed to exist, nothing can discriminate two apparently identical states even if they give a different result. In this paper we try to put the basis for a more fundamental theory that (approximately) coincides with quantum mechanics when comparing statistics, but it is more fundamental, since it mathematically describes measurement processes giving an explicit time evolution of the wave function during the collapse. The theory is deterministic even if the Heisenberg uncertainty principle is still valid. The theory distinguishes physical states that collapse and physical states that do not collapse. The theory can be made compatible with all experiments done in the past, but new phenomena such as violations of the Born law or the superposition principle could transpire. However, even if we have probably shown that it is possible to build ad hoc a theory that can describe both the wave function collapse and the Schrödinger linear evolution, a simple and unified construction is still missing.
Although quantum mechanics is a mature theory, fundamental problems discussed during its time of foundation have remained with us to this day. These problems are centered on the problematic relation between the quantum and classical worlds. The most famous element is the measurement problem, i.e., the measurement of a quantum system by a classical apparatus, and the concomitant phenomena of wave packet reduction, the appearance of probability, and the problems related to Schrödinger cat states. A fundamental question in this context is whether quantum mechanics can bootstrap itself to the classical world: is quantum mechanics self-consistent, such that the measurement process can be understood within quantum mechanics itself, or does this process require additional elements from the realm outside of traditional quantum mechanics? Here, we point to a problematic aspect in the traditional Schrödinger cat argument which can be overcome through its extension with a proper macroscopic preparation device; the deliberate creation of a cat state and its identification then turns into a non-trivial problem requiring the determination of the evolution of a quantum system entangled with a macroscopic reservoir. We describe a new type of wave-function correlator testing for the appearance of Schrödinger cat states and discuss its implications for theories deriving the wave function collapse from a unitary evolution.
The quantum measurement problems are revisited from a new perspective. One of the main ideas of this work is that the basic entities of our world are various types of particles, elementary or composite. It follows that each elementary process, hence each measurement process at its core, is a space–time, pointlike, event. Another key idea is that, when a microsystem [Formula: see text] gets into contact with the experimental device, factorization of [Formula: see text] rapidly fails and entangled mixed states appear. The wave functions for the microsystem-apparatus coupled systems for different measurement outcomes then lack overlapping space–time support. It means that the aftermath of each measurement is a single term in the sum: a “wave function collapse.” Our discussion leading to a diagonal density matrix, [Formula: see text] shows how the information encoded in the wave function [Formula: see text] gets transcribed, via entanglement with the experimental device and environment, into the relative frequencies [Formula: see text] for various experimental results [Formula: see text]. These results represent the first, significant steps towards filling in the logical gaps in the standard interpretation based on Born’s rule, and replacing it with a more natural one. Accepting objective reality of quantum fluctuations, independent of any experiments, and independently of human presence, one renounces the idea that in a fundamental, complete theory of Nature the result of each single experiment must necessarily be predictable. A few well-known puzzles such as the Schrödinger cat conundrum and the Einstein–Podolsky–Rosen (EPR) paradox are briefly reviewed: they can all be naturally explained away.
Quantum theory is extremely successful in describing the micro cosmos. The caveat is that nobody knows what quantum objects really are. Consequently, the intention of this article is not to introduce any new formalism but to develop some ideas about the ontological meaning of quantum theory. The centerpiece of quantum theory, the Schrödinger equation, requires a deterministic development of quantum systems; measurements however show an indeterministic distribution of measurement values. All previous interpretations of quantum theory are dubious. Here we will present a new understanding of one of the key features of quantum theory, namely, of superposition. Contrary to the previous understanding of the concept, we assume that superposition represents an oscillation between different states. This will lead to a completely new understanding of the universe and of quantum objects. Quantum objects are no longer considered to be elements in space, rather they are considered to be properties of space, namely, possibilities for interaction. The new understanding also leads to the conclusion that space and time are discrete. This entirely new concept will finally provide some relief for Schrödinger's cat.