scholarly journals The Surjective Mapping Conjecture and the Measurement Problem in Quantum Mechanics

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2155
Author(s):  
Fritz Wilhelm Bopp
Keyword(s):  
Quantum Mechanics ◽  
Measurement Problem ◽  
Complex Conjugate ◽  
Arbitrary Boundary ◽  
Quantum Time ◽  
Symmetric Quantum ◽  
Surjective Mapping ◽  
Measurement Path ◽  
The Universe ◽  
Selection Of

Accepting a time-symmetric quantum dynamical world with ontological wave functions or fields, we follow arguments that naturally lead to a two-boundary interpretation of quantum mechanics. The usual two boundary picture is a valid superdeterministic interpretation. It has, however, one unsatisfactory feature. The random selection of a chosen measurement path of the universe is far too complicated. To avoid it, we propose an alternate two-boundary concept called surjective mapping conjecture. It takes as fundamental a quantum-time running forward like the usual time on the wave-function side and backward on the complex conjugate side. Unrelated fixed arbitrary boundary conditions at the initial and the final quantum times then determine the measurement path of the expanding and contracting quantum-time universe in the required way.

Quantum transition between spaces in a multidimensional Universe and spatial unconnectivity explain free will and solve the measurement problem of quantum mechanics

2020 ◽  
Vol 33 (1) ◽  
pp. 34-37
Author(s):  
José M. Frade
Keyword(s):  
Quantum Mechanics ◽  
Free Will ◽  
Measurement Problem ◽  
Fundamental Property ◽  
Quantum Transition ◽  
Observable Universe ◽  
Temporal Dimension ◽  
Spatial Dimensions ◽  
Future Events ◽  
The Universe

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.

scholarly journals Generalized Probabilistic Theories in a New Light

2021 ◽  
Author(s):  
Raed Shaiia
Keyword(s):  
Quantum Mechanics ◽  
Measurement Problem ◽  
Quantum Mechanical ◽  
Infinite Dimensional ◽  
Classical Systems ◽  
Generalized Probabilistic Theories ◽  
Deterministic Description ◽  
New Formulation ◽  
The Universe ◽  
Probabilistic Theories

Abstract In this paper we will present a modified formulation of generalized probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, and give the guidelines to how to extend this work to infinite dimensional Hilbert spaces. Moreover, this new formulation which we will call extended operational-probabilistic theories, applies not only to quantum systems, but also equally well to classical systems, without violating Bell’s theorem, and at the same time solves the measurement problem. This is why we will see that the question of why our universe is quantum mechanical rather than classical is misplaced. The only difference that exists between a classical universe and a quantum mechanical one lies merely in which observables are compatible and which are not. Besides, this extended probability theory which we present in this paper shows that it is non-determinacy, or to be more precise, the non-deterministic description of the universe, that makes the laws of physics the way they are. In addition, this paper shows us that what used to be considered as purely classical systems and to be treated that way are in fact able to be manipulated according to the rules of quantum mechanics –with this new understanding of these rules- and that there is still a possibility that there might be a deterministic level from which our universe emerges, which if understood correctly, may open the door wide to applications in areas such as quantum computing. In addition to all that, this paper shows that without the use of complex vector spaces, we cannot have any kind of continuous evolution of the states of any system.

scholarly journals NONCOMMUTATIVE QUANTUM MECHANICS AND QUANTUM COSMOLOGY

2009 ◽  
Vol 24 (15) ◽  
pp. 2741-2752 ◽  
Author(s):  
CATARINA BASTOS ◽  
ORFEU BERTOLAMI ◽  
NUNO COSTA DIAS ◽  
JOÃO NUNO PRATA
Keyword(s):  
Quantum Mechanics ◽  
Quantum Cosmology ◽  
Numerical Solutions ◽  
Berry Phase ◽  
Noncommutative Algebra ◽  
Noncommutative Version ◽  
Noncommutative Quantum Mechanics ◽  
The Universe ◽  
Noncommutative Quantum ◽  
Selection Of

We present a phase-space noncommutative version of quantum mechanics and apply this extension to Quantum Cosmology. We motivate this type of noncommutative algebra through the gravitational quantum well (GQW) where the noncommutativity between momenta is shown to be relevant. We also discuss some qualitative features of the GQW such as the Berry phase. In the context of quantum cosmology we consider a Kantowski-Sachs cosmological model and obtain the Wheeler-DeWitt (WDW) equation for the noncommutative system through the ADM formalism and a suitable Seiberg-Witten (SW) map. The WDW equation is explicitly dependent on the noncommutative parameters, θ and η. We obtain numerical solutions of the noncommutative WDW equation for different values of the noncommutative parameters. We conclude that the noncommutativity in the momenta sector leads to a damped wave function implying that this type of noncommmutativity can be relevant for a selection of possible initial states for the universe.

scholarly journals Uncomputable but complete physics theory of the universe

2020 ◽  
Author(s):  
William Icefield
Keyword(s):  
Quantum Mechanics ◽  
Measurement Problem ◽  
Sleeping Beauty ◽  
Sleeping Beauty Problem ◽  
Principle Of Indifference ◽  
Theoretical Predictions ◽  
Novel Concept ◽  
The Universe

It is often assumed that the complete physics theory of the universe is computable - in sense that it can provide meaningful theoretical predictions for every phenomenon of the universe. Against this view, it is argued that once quantum mechanics is understood as encompassing a novel concept of probability, thereby resolving the measurement problem in straightforward ways, the interpretation speaks for uncomputability of the complete physics theory. The reasons why a new theory of probability is needed are explored, along the lines of the principle of indifference and the sleeping beauty problem.

Quantum Becoming?

2017 ◽  
Author(s):  
Craig Callender
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Quantum Time ◽  
Quantum Non Locality ◽  
Time Quantum ◽  
Temporal Becoming ◽  
Non Locality ◽  
Quantum Wavefunction

Two of quantum mechanics’ more famed and spooky features have been invoked in defending the idea that quantum time is congenial to manifest time. Quantum non-locality is said by some to make a preferred foliation of spacetime necessary, and the collapse of the quantum wavefunction is held to vindicate temporal becoming. Although many philosophers and physicists seek relief from relativity’s assault on time in quantum theory, assistance is not so easily found.

Relational Blockworld and Quantum Mechanics

2018 ◽  
Author(s):  
Michael Silberstein ◽  
W.M. Stuckey ◽  
Timothy McDevitt
Keyword(s):  
Quantum Mechanics ◽  
Measurement Problem ◽  
Quantum Nonlocality ◽  
Global Constraints ◽  
Quantum Superposition ◽  
Delayed Choice ◽  
Counterfactual Definiteness ◽  
Main Thread ◽  
Block Universe ◽  
Contextual Emergence

The main thread of chapter 4 introduces some of the major mysteries and interpretational issues of quantum mechanics (QM). These mysteries and issues include: quantum superposition, quantum nonlocality, Bell’s inequality, entanglement, delayed choice, the measurement problem, and the lack of counterfactual definiteness. All these mysteries and interpretational issues of QM result from dynamical explanation in the mechanical universe and are dispatched using the authors’ adynamical explanation in the block universe, called Relational Blockworld (RBW). A possible link between RBW and quantum information theory is provided. The metaphysical underpinnings of RBW, such as contextual emergence, spatiotemporal ontological contextuality, and adynamical global constraints, are provided in Philosophy of Physics for Chapter 4. That is also where RBW is situated with respect to retrocausal accounts and it is shown that RBW is a realist, psi-epistemic account of QM. All the relevant formalism for this chapter is provided in Foundational Physics for Chapter 4.

scholarly journals IMPLICATIONS OF A QUANTUM MECHANICAL TREATMENT OF THE UNIVERSE

1998 ◽  
Vol 13 (05) ◽  
pp. 347-351 ◽  
Author(s):  
MURAT ÖZER
Keyword(s):  
Quantum Mechanics ◽  
Wave Packet ◽  
Early Universe ◽  
Mechanical Treatment ◽  
Correspondence Principle ◽  
Scale Factor ◽  
Quantum Mechanical ◽  
Quantum Mechanical Treatment ◽  
The Standard Model ◽  
The Universe

We attempt to treat the very early Universe according to quantum mechanics. Identifying the scale factor of the Universe with the width of the wave packet associated with it, we show that there cannot be an initial singularity and that the Universe expands. Invoking the correspondence principle, we obtain the scale factor of the Universe and demonstrate that the causality problem of the standard model is solved.

scholarly journals From the Universe to Subsystems: Why Quantum Mechanics Appears More Stochastic than Classical Mechanics

2016 ◽  
Vol 15 (03) ◽  
pp. 1640002 ◽  
Author(s):  
Andrea Oldofredi ◽  
Dustin Lazarovici ◽  
Dirk-André Deckert ◽  
Michael Esfeld
Keyword(s):  
Quantum Mechanics ◽  
Classical Mechanics ◽  
Bohmian Quantum Mechanics ◽  
The Universe

By means of the examples of classical and Bohmian quantum mechanics, we illustrate the well-known ideas of Boltzmann as to how one gets from laws defined for the universe as a whole the dynamical relations describing the evolution of subsystems. We explain how probabilities enter into this process, what quantum and classical probabilities have in common and where exactly their difference lies.

scholarly journals Multimessenger Probes for New Physics in Light of A. Sakharov’s Legacy in Cosmoparticle Physics

Universe ◽  
2021 ◽  
Vol 7 (7) ◽  
pp. 222
Author(s):  
Maxim Khlopov
Keyword(s):  
Standard Model ◽  
Particle Physics ◽  
New Physics ◽  
Physical Models ◽  
Beyond The Standard Model ◽  
Fundamental Relationship ◽  
Relationship Of ◽  
The Universe ◽  
Selection Of

A.D. Sakharov’s legacy in now standard model of the Universe is not reduced to baryosynthesis but extends to the foundation of cosmoparticle physics, which studies the fundamental relationship of cosmology and particle physics. Development of cosmoparticle physics involves cross-disciplinary physical, astrophysical and cosmological studies of physics Beyond the Standard model (BSM) of elementary particles. To probe physical models for inflation, baryosynthesis and dark matter cosmoparticle physics pays special attention to model dependent messengers of the corresponding models, making their tests possible. Positive evidence for such exotic phenomena as nuclear interacting dark atoms, primordial black holes or antimatter globular cluster in our galaxy would provide the selection of viable BSM models determination of their parameters.

Combining computational and experimental approaches to select chromophores to enable the detection of fatty acids via HPLC

2019 ◽  
Vol 11 (23) ◽  
pp. 2952-2959 ◽  
Author(s):  
Jessica Pandohee ◽  
Robert J. Rees ◽  
Michelle J. S. Spencer ◽  
Aaron Raynor ◽  
Oliver A. H. Jones
Keyword(s):  
Fatty Acids ◽  
Quantum Mechanics ◽  
Chemical Reaction ◽  
Experimental Approaches ◽  
Systematic Selection ◽  
Selection Of

This paper outlines a protocol, which combines quantum mechanics calculations and experimental synthesis, to enable systematic selection of suitable chromophores based on their stability of fluorescence and efficiency of the chemical reaction.

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