scholarly journals General quantum theory—unification of classical and modal quantum theories

2020 ◽  
Vol 53 (39) ◽  
pp. 395304
Author(s):  
Koen Thas
Keyword(s):  
Quantum Theory ◽  
Quantum Theories ◽  
General Quantum ◽  
Theory Unification

Contemporary Echoes of the World Soul

2021 ◽  
pp. 320-342
Author(s):  
Valia Allori
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Conscious Experience ◽  
Hard Problem ◽  
Quantum Theories ◽  
The World ◽  
The Hard Problem ◽  
The Mind ◽  
The Way

Quantum mechanics is a groundbreaking theory: it not only is extraordinarily empirically adequate but also is claimed to having shattered the classical paradigm of understanding the observer-observed distinction as well as the part-whole relation. This, together with other quantum features, has been taken to suggest that quantum theory can help one understand the mind-body relation in a unique way, in particular to solve the hard problem of consciousness along the lines of panpsychism. In this chapter, after having briefly presented panpsychism, Valia Allori discusses the main features of quantum theories and the way in which the main quantum theories of consciousness use them to account for conscious experience.

scholarly journals MINISUPERSPACES: OBSERVABLES AND QUANTIZATION

1993 ◽  
Vol 02 (01) ◽  
pp. 15-50 ◽  
Author(s):  
ABHAY ASHTEKAR ◽  
RANJEET TATE ◽  
CLAES UGGLA
Keyword(s):  
Quantum Theory ◽  
Phase Space ◽  
Canonical Transformation ◽  
Parameter Family ◽  
Hamiltonian Constraint ◽  
Canonical Coordinates ◽  
Quantum Theories ◽  
Canonical Variables ◽  
Unitary Transformations ◽  
Homogeneous Cosmologies

A canonical transformation is performed on the phase space of a number of homogeneous cosmologies to simplify the form of the scalar (or Hamiltonian) constraint. Using the new canonical coordinates, it is then easy to obtain explicit expressions of Dirac observables, i.e. phase-space functions which commute weakly with the constraint. This, in turn, enables us to carry out a general quantization program to completion. We are also able to address the issue of time through “deparametrization” and discuss physical questions such as the fate of initial singularities in the quantum theory. We find that they persist in the quantum theory in spite of the fact that the evolution is implemented by a one-parameter family of unitary transformations. Finally, certain of these models admit conditional symmetries which are explicit already prior to the canonical transformation. These can be used to pass to the quantum theory following an independent avenue. The two quantum theories — based, respectively, on Dirac observables in the new canonical variables and conditional symmetries in the original ADM variables — are compared and shown to be equivalent.

On measurement in general quantum theory

1974 ◽  
Vol 21 (2) ◽  
pp. 233-257 ◽  
Author(s):  
B. d’Espagnat
Keyword(s):  
Quantum Theory ◽  
General Quantum

scholarly journals General Quantum Theory No Axiom Presumption: II ----Measuring and Identical Theorems, Origins & Classifications of Entanglements and Solution to Crisis of Wave Collapse

2020 ◽  
Author(s):  
C. Huang ◽  
Yong-Chang Huang ◽  
Yi-You Nie
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Theory ◽  
Particle System ◽  
Quantum Nonlocality ◽  
Square Root ◽  
Current Crisis ◽  
General Quantum ◽  
Wave Particle Duality ◽  
Wave Collapse

This paper derives measurement and identical principles, then makes the two principles into measurement and identical theorems of quantum mechanics, plus the three theorems derived earlier, we deduce the axiom system of current quantum mechanics, the general quantum theory no axiom presumptions not only solves the crisis to understand in current quantum mechanics, but also obtains new discoveries. We deduce the general Schrȍdinger equation of any n particles, and the wave function not only has particle properties of the square root state vector of the classical probability density of any n particles, but also has the plane wave properties of any n particles. Thus, the current crisis of the dispute about the origin of wave-particle duality of any n microscopic particles is solved. This paper displays the classical locality and quantum non-locality for any n particle system, shows entanglement origins, and discovers not only any n-particle wave function system has the original, superposition and across entanglements, but also the entanglements are of interactions preserving conservation or correlation, the three kinds of entanglements directly gives lots of entanglement sources. This paper discovers, one of two pillars of modern physics, quantum mechanics is a generalization ( mechanics ) theory of the square root ( of density function ) of classical statistical mechanics. Thus, all current studies on various entanglements and their uses to quantum computer, quantum communications and so on must be further updated and classified by the three kinds of entanglements. Finally, this papers and our previous paper together solve the crisises of basses of quantum mechanics, e.g., wave-particle duality & the first quantization origins, quantum nonlocality, entanglement origins & classifications, wave collapse and so on.

scholarly journals Absolute Quantum Theory (after Chang, Lewis, Minic and Takeuchi), and a Road to Quantum Deletion

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 174
Author(s):  
Koen Thas
Keyword(s):  
Quantum Theory ◽  
Finite Fields ◽  
Hilbert Spaces ◽  
Inner Product ◽  
Unitary Operators ◽  
Evolution Operators ◽  
Quantum Theories ◽  
Classical Quantum ◽  
Absolute Quantum ◽  
Made In

In a recent paper, Chang et al. have proposed studying “quantum F u n ”: the q ↦ 1 limit of modal quantum theories over finite fields F q , motivated by the fact that such limit theories can be naturally interpreted in classical quantum theory. In this letter, we first make a number of rectifications of statements made in that paper. For instance, we show that quantum theory over F 1 does have a natural analogon of an inner product, and so orthogonality is a well-defined notion, contrary to what was claimed in Chang et al. Starting from that formalism, we introduce time evolution operators and observables in quantum F u n , and we determine the corresponding unitary group. Next, we obtain a typical no-cloning result in the general realm of quantum F u n . Finally, we obtain a no-deletion result as well. Remarkably, we show that we can perform quantum deletion by almost unitary operators, with a probability tending to 1. Although we develop the construction in quantum F u n , it is also valid in any other quantum theory (and thus also in classical quantum theory in complex Hilbert spaces).

TESTING THE BETHE ANSATZ FOR STRAIGHT STRINGS IN (2 + 1) DIMENSIONS

1990 ◽  
Vol 05 (27) ◽  
pp. 2231-2239 ◽  
Author(s):  
PETER ORLAND
Keyword(s):  
Quantum Theory ◽  
Bethe Ansatz ◽  
Tetrahedron Equation ◽  
General Quantum ◽  
Range Potential ◽  
Special Cases ◽  
Three Body

The general quantum theory of nonrelativistic, infinitely long straight strings of one flavor interacting via a three-body infinitesimal range potential is considered in (2 + 1) dimensions. It is proved that the tetrahedron equation of Zamolodchikov is satisfied only when the potential is either zero or infinitely repulsive. Therefore the Bethe ansatz is valid only for these special cases.

On the general quantum theory of measurement

1969 ◽  
Vol 65 (1) ◽  
pp. 111-122 ◽  
Author(s):  
Arthur I. Fine
Keyword(s):  
Quantum Theory ◽  
Theory Of Measurement ◽  
Quantum Measurements ◽  
Initial State ◽  
Von Neumann ◽  
General Quantum ◽  
Von Neumann Measurements ◽  
Quantum Theory Of Measurement

We use the term ‘measurement’ to refer to the interaction between an object and an apparatus on the basis of which information concerning the initial state of the object may be obtained from information on the resulting state of the apparatus. The quantum theory of measurement is a quantum theoretic investigation of such interactions in order to analyse the correlations between object and apparatus that measurement must establish. Although there is a sizeable literature on quantum measurements there appear to be just two sorts of interactions that have been employed. There are the ‘disturbing’ interactions consistent with the analysis of Landau and Peierls (8) as developed by Pauli (11) and by Landau and Lifshitz (7), and there are the ‘non-disturbing’ interactions explicitly set out by von Neumann ((10), chs. 5, 6), and that dominate the literature. In this paper we shall investigate the most general types of interactions that could possibly constitute measurements and provide a precise mathematical characterization (section 2). We shall then examine an interesting subclass, corresponding to Landau's ideas, that contains both of the above sorts of measurements (section 3). Finally, we shall discuss von Neumann measurements explicitly and explore the purported limitations suggested by Wigner(12) and Araki and Yanase (2). We hope, in this way, to provide a comprehensive basis for discussions of quantum measurements.

scholarly journals Testing the Orientability of Time

2018 ◽  
Author(s):  
Mark Hadley
Keyword(s):  
Quantum Theory ◽  
Time Reversal ◽  
Experimental Tests ◽  
Theoretical Work ◽  
Microscopic Level ◽  
Local Realism ◽  
Quantum Theories ◽  
Time Direction ◽  
Recent Theoretical Work ◽  
Interpretation Of Quantum Theory

A number of experimental tests of time orientability are described as well as clear experimental signatures from non time orientability (time reversal). Some tests are well known, while others are based on more recent theoretical work. Surprisingly, the results all suggest that time is not orientable at a microscopic level; even definitive tests are positive. At a microscopic level the direction of time can reverse and a consistent forward time direction cannot be defined. That is the conclusion supported by a range of well-known experiments. The conflict between quantum theory and local realism; electrodynamics with electric charges; and spin half transformation properties of fermions; can all be interpreted as evidence of time reversal. While particle-antiparticle annihilation provides a definitive test. It offers both a new view of space-time and an novel interpretation of quantum theory with the potential to unify classical and quantum theories.

The Nature of Contingency

2020 ◽  
Author(s):  
Alastair Wilson
Keyword(s):  
Quantum Theory ◽  
Quantum Physics ◽  
Possible Worlds ◽  
Physical Phenomenon ◽  
David Lewis ◽  
Many Worlds ◽  
Quantum Theories ◽  
One Step ◽  
The Many ◽  
The One

Contingency is everywhere, but what is it? This book defends a radical new theory of contingency as a physical phenomenon. Drawing on the many-worlds approach to quantum theory and on cutting-edge metaphysics and philosophy of science, it argues that quantum theories are best understood as telling us about the space of genuine possibilities rather than as telling us solely about actuality. When quantum physics is taken seriously in the way first proposed by Hugh Everett III, it provides the resources for a new systematic metaphysical framework encompassing possibility, necessity, actuality, chance, counterfactuals, and a host of related modal notions. The framework is a modal realist one, in the tradition of David Lewis: all genuine possibilities are on a par, and the actual world is simply the one that we ourselves inhabit. It departs from Lewisian modal realism in that quantum possible worlds are not philosophical posits but scientific discoveries. Contingency and other modal notions have often been seen as beyond the limits of science. Rationalist metaphysicians argue that the metaphysics of modality is strictly prior to any scientific investigation: metaphysics establishes which worlds are possible, and physics merely checks which of these worlds is actual. Naturalistic metaphysicians respond that science may discover new possibilities and new impossibilities. This book’s quantum theory of contingency takes naturalistic metaphysics one step further, allowing that science may discover what it is to be possible. As electromagnetism revealed the nature of light, as acoustics revealed the nature of sound, as statistical mechanics revealed the nature of heat, so quantum physics reveals the nature of contingency.

Sign in / Sign up

Export Citation Format

Share Document