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The Stochastic Nature of Quantum Physics

J.A.J. van Leunen

Published Dec 1, 2013• 0 citations
OpenAlex

Abstract

The stochastic nature of quantum physics can best be comprehended by shifting to another space-progression model. This other model is called a paginated space-progression model and uses a universe wide time clock that ticks synchronously at the location of all observable items/events. As a consequence this model proceeds with universe wide progression steps from each static status quo to the next one. A straight forward consequence is that the whole universe is recreated at every progression step. This recreation is used to explain the stochastic structure of elementary particles.

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The stochastic nature of quantum physics can best be comprehended by shifting to another space-progression model. This other model is called a paginated space-progression model and uses a universe wide time clock that ticks synchronously at the location of all observable items/events. As a consequence this model proceeds with universe wide progression steps from each static status quo to the next one. A straight forward consequence is that the whole universe is recreated at every progression step. This recreation is used to explain the stochastic structure of elementary particles.
Spacetime is deterministic, but the Universe appears to be stochastic. How to reconcile free will with the determinism inherent to the Universe? In this essay, we postulate that free will can only emanate from the existence of multiple additional spatial dimensions constituting the Universe. As our space displaces through the temporal dimension, we can choose any of the infinite possibilities defined by the additional spatial dimensions, through a process we refer to as quantum transition between spaces. Reality would emerge from the specific materialization of this quantum transition, resulting in a time series of events. This materialization is based on a fundamental property of any space, independently of its dimensions, which we refer to as spatial unconnectivity. This property implies the inability of the constituents of a particular space to observe spaces located in other dimensions. Therefore, the unconnectivity between spaces would prevent the simultaneous observation of all possible events at a specific time point, as well as past and future events, resulting in a unique reality. It would be the observers who determine the temporal trajectory of events, thus providing themselves with free will. In the absence of observers, all possibilities are feasible, thus explaining the quantum properties of elementary particles when they are not directly observed. Our model reconciles quantum mechanics with relativistic physics and is the easiest way to understand how reality arises in our observable Universe.
For a general quantum theory that is describable by a path integral formalism, we construct a mathematical model of the universe as a sample point of an accumulative stochastic process. The model give predictions that are nearly identical to the given quantum theory. The model is neither local nor causal in spacetime, but is both local and causal is in a non-observable path space. The probabilistic nature of the squared wavefunction is a natural consequence of the model. We verify the model with simulations, and we discuss possible discrepancies from conventional quantum theory that might be detectable via experiment. Finally, we briefly discuss the physical implications of the model.
The Hilbert book test model is a purely mathematical test model that starts from a solid foundation from which the whole model can be derived by using trustworthy mathematical methods. What is known about physical reality is used as a guidance, but the model is not claimed to be a proper reflection of physical reality. The mathematical toolkit still contains holes. These holes will be encountered during the development of the model and suggestions are made how those gaps can be filled. Some new insights are obtained and some new mathematical methods are introduced. The selected foundation is interpreted as part of a recipe for modular construction and that recipe is applied throughout the development of the model. This development is an ongoing project. The main law of physics appears to be a commandment: “Thou shalt construct in a modular way”. The paper reveals the possible origin of several physical concepts. This paper shows that it is possible to discover a mathematical structure that is suitable as an extensible foundation. However, without adding extra mechanisms that ensure dynamic coherence, the structure does not provide the full functionality of reality. These extra mechanisms apply stochastic processes, which generate the locations of the elementary modules that populate the model. All discrete items in universe are configured from dynamic geometric locations. These items are stored in a repository that covers a history part, the current static status quo, and a future part. The elementary modules float over the static framework of the repository. Dedicated mechanisms ensure the coherent behavior of these elementary modules. Fields exist that describe these elementary modules. An encapsulating repository supports these fields. Both repositories are formed by quaternionic Hilbert spaces. The model offers two interesting views. The first view is the creator’s view and offers free access to all dynamic geometric data that are stored in the eigenspaces of operators. The second view is the observer’s view. The observers are modules that travel with the vane, which represents the static status quo. The observers only perceive information that comes from the past and that is carried by the field that embeds them. This view sees the model as a spacetime based structure that stores its dynamic geometric data with a Minkowski signature.
It is possible to derive a model from a set of well selected first principles. After a series of extensions of this foundation the model shows many similarities with what we know from observing reality. The first principles formulate a skeleton relational structure that is mathematically known as an orthocomplemented weakly modular lattice. It can be considered as part of a recipe for modular construction. When starting from this foundation it is mathematically inescapable evident that this model confines to a quaternionic space-progression model that proceeds with model-wide progression steps through an ordered sequence of sub-models that each represent a static status quo of the whole model. This base model is a hybrid construct that consists of a sub model that treats all discrete objects and a continuum based sub model that embeds the discrete objects. The discrete part of the model keeps its data in an infinite dimensional separable Hilbert space. The continuum part stores its data in a corresponding non-separable Hilbert space. An extra mechanism that controls the coherence and the scheduling of dynamics applies the recurrent embedding of the discrete objects into appropriate continuums. Despite the fact that the target of the model is planned to reach a level in which it shows many features and phenomena that we know from observing reality, this model is not claimed to be a model of physics. The reason for this restriction is that many of its aspects cannot be observed and will never become observable. Physicists tend to deny completely or largely deduced models. The deduced model appears to own built-in restrictions that guard against uncontrolled growth of the complexity of the model.