scholarly journals Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics

2018 ◽  
Vol 64 (1) ◽  
pp. 18
Author(s):  
G. Gómez ◽  
I. Kotsireas ◽  
I. Gkigkitzis ◽  
I. Haranas ◽  
M.J. Fullana
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
General Equation ◽  
System Approach ◽  
Space Time ◽  
Relativistic Model ◽  
Time Deformation ◽  
Non Local ◽  
De Broglie Bohm

Weintend to use the description oftheelectron orbital trajectory in the de Broglie-Bohm (dBB) theory to assimilate to a geodesiccorresponding to the General Relativity (GR) and get from itphysicalconclusions. ThedBBapproachindicatesustheexistenceof a non-local quantumfield (correspondingwiththequantumpotential), anelectromagneticfield and a comparativelyveryweakgravitatoryfield, togetherwith a translationkineticenergyofelectron. Ifweadmitthatthosefields and kineticenergy can deformthespace time, according to Einstein'sfield equations (and to avoidtheviolationoftheequivalenceprinciple as well), we can madethehypothesisthatthegeodesicsof this space-time deformation coincide withtheorbitsbelonging to thedBBapproach (hypothesisthat is coherentwiththestabilityofmatter). Fromit, we deduce a general equation that relates thecomponentsofthemetric tensor. Thenwe find anappropriatemetric for it, bymodificationofanexactsolutionofEinstein'sfield equations, whichcorresponds to dust in cylindricalsymmetry. Thefoundmodelproofs to be in agreementwiththebasicphysicalfeaturesofthehydrogenquantum system, particularlywiththeindependenceoftheelectronkineticmomentum in relationwiththeorbit radius. Moreover, themodel can be done Minkowski-like for a macroscopicshortdistancewith a convenientelectionof a constant. According to this approach, theguiding function ofthewaveontheparticlecould be identifiedwiththedeformationsofthespace-time and thestabilityofmatterwould be easilyjustifiedbythe null accelerationcorresponding to a geodesicorbit.

scholarly journals Theory of Discrete Gravity

2018 ◽  
Author(s):  
Mihir Kumar Jha
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Loop Quantum Gravity ◽  
Riemannian Metric ◽  
Space Time ◽  
Final Theory ◽  
Theory Of Everything ◽  
Single Field ◽  
Fundamental Forces ◽  
New Framework

Theory of everything (T.O.E), final theory or ultimate theory is a theoretical framework in the field of physics, which holds an ultimate key to unify all the fundamental forces of nature in a single field. In other words such theory can glue quantum mechanics with general relativity into a single framework. Many theories have been postulated over the decades but the dominant one includes string theory and loop quantum gravity. In this paper I would like to present a new framework which can unify quantum mechanics with general relativity by showing that the change in Riemannian metric or the bend in space time is always an integral multiple of planks constant and since gravity is the result due to bend in space-time, gravity itself is a discrete force

scholarly journals Possible Unification of Quantum Mechanics and General Relativity Theory Based on the Three-Dimensional Quantized Spaces

2018 ◽  
Author(s):  
Jae-Kwang Hwang
Keyword(s):  
General Relativity ◽  
Wave Function ◽  
Quantum Mechanics ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Energy Transition ◽  
Space Time ◽  
Relativity Theory ◽  
General Relativity Theory ◽  
Dimensional Space Time

Three-dimensional quantized space model is newly introduced. Quantum mechanics and relativity theory are explained in terms of the warped three-dimensional quantized spaces with the quantum time width (Dt=tq). The energy is newly defined as the 4-dimensional space-time volume of E = cDtDV in the present work. It is shown that the wave function of the quantum mechanics is closely related to the warped quantized space shape with the space time-volume. The quantum entanglement and quantum wave function collapse are explained additionally. The special relativity theory is separated into the energy transition associated with the space-time shape transition of the matter and the momentum transition associated with the space-time location transition. Then, the quantum mechanics and the general relativity theory are about the 4-dimensional space-time volume and the 4-dimensional space-time distance, respectively.

scholarly journals On the nature of Time and Entanglement

2021 ◽  
Author(s):  
Alessandro Capurso
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Quantum Information ◽  
Free Will ◽  
Imaginary Time ◽  
The Core ◽  
Time Order ◽  
Non Local ◽  
Nature Of Time ◽  
Free Will Theorem

The nature of Time is often at the root of the physical debate and possibly sits at the core of General Relativity and Quantum Mechanics frameworks incompatibility. In the context of the Free Will theorem and of a spacetime described through information, we identify in a thick present the only quantum information potential needed to describe evolution. The analysis of undefined causal orders (through a quantum Controlled-NOT gate and the evolution of the information along an imaginary time) allowed us to describe entanglement (both in space position and time order) as the potential related to an open choice and expressed in a CTC, which develops in a non-local imaginary space within the thick present considered.

scholarly journals Geometry and general relativity in the groupoid model with a finite structure group

2015 ◽  
Vol 93 (1) ◽  
pp. 43-54 ◽  
Author(s):  
Michael Heller ◽  
Tomasz Miller ◽  
Leszek Pysiak ◽  
Wiesław Sasin
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Lorentz Group ◽  
Space Time ◽  
Einstein Equations ◽  
Diagonal Form ◽  
Frame Bundle ◽  
Relativistic Limit ◽  
Theor Phys ◽  
A Finite Group

In a series of papers (M. Heller et al. J. Math. Phys. 38, 5840 (1997). doi:10.1063/1.532186 ; M. Heller and W. Sasin. Int. J. Theor. Phys. 38, 1619 (1999). doi:10.1023/A:1026617913754 ; M. Heller et al. Int. J. Theor. Phys. 44, 619 (2005). doi:10.1007/s10773-005-3992-7 ) we proposed a model unifying general relativity and quantum mechanics. The idea was to deduce both general relativity and quantum mechanics from a noncommutative algebra, [Formula: see text], defined on a transformation groupoid Γ determined by the action of the Lorentz group on the frame bundle (E, πM, M) over space–time M. In the present work, we construct a simplified version of the gravitational sector of this model in which the Lorentz group is replaced by a finite group, G, and the frame bundle is trivial E = M × G. The model is fully computable. We define the Einstein–Hilbert action, with the help of which we derive the generalized vacuum Einstein equations. When the equations are projected to space–time (giving the “general relativistic limit”), the extra terms that appear due to our generalization can be interpreted as “matter terms”, as in Kaluza–Klein-type models. To illustrate this effect we further simplify the metric matrix to a block diagonal form, compute for it the generalized Einstein equations and find two of their “Friedman-like” solutions for the special case when G = [Formula: see text]. One of them gives the flat Minkowski space–time (which, however, is not static), another, a hyperbolic, linearly expanding universe.

scholarly journals The Quantum Entropy as an Ultimate Visiting Card of the de Broglie–Bohm Theory

2012 ◽  
Vol 57 (9) ◽  
pp. 946 ◽  
Author(s):  
D. Fiscaletti
Keyword(s):  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Space Time ◽  
Quantum Entropy ◽  
Special Role ◽  
Curved Space ◽  
Quantum Domain ◽  
Interesting Approach ◽  
Principle Of Causality ◽  
De Broglie Bohm

The de Broglie–Bohm theory is an interesting approach to quantum mechanics, which has the merit to describe atomic and subatomic processes without ascribing a special role to the observer and remaining faithful to the principle of causality and the motion dogma. In this article, a new suggestive interpretation of the de Broglie–Bohm theory is proposed. It is based on the idea that the quantum entropy is its ultimate visiting card in the quantum domain, in a relativistic curved space-time, and in the quantum gravity domain.

Non-radial oscillations of stars in general relativity: a scattering problem

1992 ◽  
Vol 340 (1658) ◽  
pp. 423-445 ◽  
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Gravitational Waves ◽  
Potential Barrier ◽  
Scattering Problem ◽  
Relativistic Effects ◽  
Resonant Scattering ◽  
Space Time ◽  
Rotating Stars

The problem of non-radial oscillations of stars can be formulated as a problem of resonant scattering of gravitational waves incident on the potential barrier generated by the space-time curvature. This approach discloses some unexpected correspondences between the theory of perturbations of stars and the theory of quantum mechanics. New relativistic effects are predicted, as the resonant behaviour of the axial modes in slowly rotating stars, due to the coupling with the polar modes induced by the Lense-Thirring effect.

scholarly journals NON-LOCALITY OF QUANTUM MECHANICS AND THE LOCALITY OF GENERAL RELATIVITY

2002 ◽  
Vol 17 (15n17) ◽  
pp. 1097-1106 ◽  
Author(s):  
JEEVA ANANDAN
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Non Local ◽  
Frame Work ◽  
Time Description ◽  
Aharonov Bohm ◽  
Space Description ◽  
Non Locality

The conflict between the locality of general relativity, reflected in its space-time description, and the non-locality of quantum mechanics, contained in its Hilbert space description, is discussed. Gauge covariant non-local observables that depend on gauge fields and gravity as well as the wave function are used in order to try to understand and minimize this conflict within the frame-work of these two theories. Applications are made to the Aharonov-Bohm effect and its generalizations to non Abelian gauge fields and gravity.

LIMIT TO SPACE-TIME MEASUREMENT

1994 ◽  
Vol 09 (04) ◽  
pp. 335-340 ◽  
Author(s):  
Y. JACK NG ◽  
H. VAN DAM
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Time Measurement ◽  
Space Time ◽  
Quantum Measurements ◽  
Quantum Decoherence ◽  
Planck Mass ◽  
The One

Applying simultaneously the principles of quantum mechanics and general relativity we find an intrinsic limitation to quantum measurements of space-time distances. The intrinsic uncertainty of a length is shown to be proportional to the one third power of the length itself. This uncertainty in space-time measurements implies an intrinsic uncertainty of the space-time metric and yields quantum decoherence for particles heavier than the Planck mass.

scholarly journals From Micro Gravitational Waves to the Quantum Indeterminism

2015 ◽  
Vol 25 (3) ◽  
pp. 247
Author(s):  
Vo Van Thuan
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Gravitational Waves ◽  
Space Time ◽  
Quantum Mechanical ◽  
Curved Space ◽  
Time Symmetry ◽  
Extended Space

An attempt to search for the links b etween general relativity and quantum mechanics is prop osed which bases on an extended space-time symmetry. A simplified cylindrical mo del of gravitational geometrical dynamics leads to a micro geo desic description of strongly curved space-time which implies a duality b etween quantum mechanical equations and the emission law of a sp ecific mo de of micro gravitational waves.

scholarly journals De Broglie – Bohm Theorem in an underlying structure of Space and Spacetime

2021 ◽  
Author(s):  
Salim Yasmineh
Keyword(s):  
Quantum Mechanics ◽  
Special Relativity ◽  
Local Field ◽  
Physical System ◽  
Underlying Structure ◽  
Time Interval ◽  
Non Local ◽  
Ontological Entity ◽  
Theory And Experiments ◽  
De Broglie Bohm

Abstract The concept of simultaneity is relative in special relativity whereas, it seems to have a definite meaning in quantum mechanics. On the other hand, theory and experiments in quantum mechanics have revealed the existence of non-local causal relations. We propose to use the invariant space-time interval introduced by special relativity as a benchmark for constructing a spacetime framework presenting a notion of an invariant time. We suggest that a physical system creates a non-local field within the spacetime framework and that the wavefunction of the physical system is an ontological entity that represents this non-local field. We propose to explain measurement and entanglement by using de Broglie Bohm theory in the context of the constructed spacetime framework.

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