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The Theory of Gravitons in the Expansion of the Universe 被引量:1
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作者 Firmin J. Oliveira 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2022年第3期579-592,共14页
The theory that gravitons lose energy thru gravitational redshift while traveling in a gravitational field is applied to the universe. It is proposed that a co-moving volume element is required for the luminosity dist... The theory that gravitons lose energy thru gravitational redshift while traveling in a gravitational field is applied to the universe. It is proposed that a co-moving volume element is required for the luminosity distance relation because the gravitational field acts simultaneously in three dimensions rather than just along a geodesic curve. With only a relatively small baryonic mass density the curve fit of the novel luminosity distance relation to Type Ia supernovae distance data is of the same quality as for the standard Lambda Cold Dark Matter model. 展开更多
关键词 gravitons Gravitational Redshift Hubble Law Luminosity Distance SUPERNOVA
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Theory of Gravitons in Spiral and Dwarf Galaxy Rotation Curves 被引量:1
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作者 Firmin J. Oliveira 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2022年第3期810-834,共25页
We hypothesize that gravitons contribute significantly to the process that flattens galaxy rotation curves. Gravitons travelling against a gravitational field experience an energy loss due to gravitational redshift id... We hypothesize that gravitons contribute significantly to the process that flattens galaxy rotation curves. Gravitons travelling against a gravitational field experience an energy loss due to gravitational redshift identical to the effect on light. This energy loss requires an increased rotational velocity to stabilize a galaxy. We will show that this approach successfully explains the rotational properties of spiral and dwarf galaxies. 展开更多
关键词 gravitons Spiral Galaxies Galaxy Dynamics Newtonian Mechanics Hubble’s Law Baryonic Tully-Fisher Relation
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Gravitons into Gravitational Field
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作者 Andrey N. Volobuev 《Journal of High Energy Physics, Gravitation and Cosmology》 2018年第4期695-715,共21页
The problems connected to propagation of a gravitational field are considered. The constant homogeneous gravitational field is investigated. The law of electromagnetic radiation frequency change in this gravitational ... The problems connected to propagation of a gravitational field are considered. The constant homogeneous gravitational field is investigated. The law of electromagnetic radiation frequency change in this gravitational field is shown. On the basis of the solution of the Einstein’s equation for a weak gravitational field, the flux of gravitational radiation energy from system of cooperating masses is found. The equation for gravitational waves is found. On the basis of refusal from a stresses tensor into energy-impulse tensor and use of a quantum gravitational eikonal, the quantum form of the energy-impulse tensor in Einstein’s equation is found. The equation for a graviton propagating in a gravitational field of a double star is found. Resonant interaction of a graviton and a gravitational field of a double star are investigated. It is shown that such interaction allows registering the gravitons. 展开更多
关键词 A GRAVITATIONAL EIKONAL Metric TENSOR Einstein’s Equation ENERGY Flux GRAVITATIONAL Waves Energy-Impulse TENSOR Registration of gravitons
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Lowest Order Mass of KK Graviton Revisited and How It May Affect the Blue Spectrum for Gravitons
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第2期296-307,共12页
The lowest order mass for a KK graviton, as a non-zero product of two branes interacting via a situation similar to Steinhardt’s ekpyrotic universe is obtained, as to an alternative to the present dogma specifying th... The lowest order mass for a KK graviton, as a non-zero product of two branes interacting via a situation similar to Steinhardt’s ekpyrotic universe is obtained, as to an alternative to the present dogma specifying that gravitons must be massless. The relative positions as to the branes give a dynamical picture as to how lowest order KK gravitons could be affected by contraction and then subsequent expansion. Initially we have bulk gravitons as a vacuum state. The massless condition is just one solution to a Stern Liuouville operator equation we discuss, which with a non-zero lowest order mass for a KK graviton permits modeling of gravitons via a dynamical Casmir effect which we generalize using Ruser and Duerrer’s 2007 work. In particular the blue spectrum for (massless gravitons), is revisited, with consequences for observational astrophysics. 展开更多
关键词 gravitons BLUE SPECTRUM KK Theory Casmir Effect
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Could Gravitons from a Prior Universe Survive a (LQG Inspired) “Quantum Bounce” to Re-Appear in Our Present Universe?
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第4期624-634,共11页
We ask the question if a formula for entropy, as given by with a usual value ascribed of initial entropy of the onset of inflation can allow an order of magnitude resolution of the question of if there could be a surv... We ask the question if a formula for entropy, as given by with a usual value ascribed of initial entropy of the onset of inflation can allow an order of magnitude resolution of the question of if there could be a survival of a graviton from a prior to the present universe, using typical Planckian peak temperature values of . We obtain values consistent with up to 1038 gravitons contributing to an energy value of if we assume a relic energy contribution based upon each graviton initially exhibiting a frequency spike of 1010 Hz. The value of is picked from looking at the aftermath of what happens if there exists a quantum bounce with a peak density value of [1] in a regime of LQG bounce regime radii of the order of magnitude of meters. The author, in making estimates specifically avoids using ,?by setting the chemical potential for ultra high temperatures for reasons which will be brought up in the conclusion. 展开更多
关键词 gravitons Prior UNIVERSE QUANTUM BOUNCE
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New Conservation Law and a Consideration as to When Forming a Cosmological Constant Term: Using Fifth Force for Frequency of BEC “Gravitons” and Cosmological Constant Formed before BEC Gravitons Form
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2023年第2期489-495,共7页
We use scalar fields. The scalar field version which we are using is one from Padmanabhan, and the problem is that the scalar field in the Padmanabhan representation is initially only dependent on time. We also refer ... We use scalar fields. The scalar field version which we are using is one from Padmanabhan, and the problem is that the scalar field in the Padmanabhan representation is initially only dependent on time. We also refer to a new assumed conservation law which will give new structure as to inflationary expansion and its immediate aftermath. That of the Hubble “constant” is divided by the “time derivative” of the scalar field in the inflation regime and then a long time afterwards. In doing so, we help define when the cosmological constant may form and what they says about the advent of dark energy. 展开更多
关键词 INFLATON Fifth Force Gravitational Waves gravitons Hubble Parameter
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How the Redshift of Gravitons Explains Dark Matter and Dark Energy
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作者 Firmin J. Oliveira 《Journal of Modern Physics》 CAS 2022年第11期1348-1368,共21页
The theory that gravitons lose energy by way of gravitational redshift while traveling in a gravitational field is applied to the expansion of the universe and to spiral and dwarf galaxy rotation curves using General ... The theory that gravitons lose energy by way of gravitational redshift while traveling in a gravitational field is applied to the expansion of the universe and to spiral and dwarf galaxy rotation curves using General Relativity. This is a graviton self interaction model which derives an expansion equation which is identical in form to the standard Lambda Cold Dark Matter model. In the domain of galaxies, spiral and dwarf galaxy rotation curves are matched using only baryonic mass. Thus, the requirement for dark matter and dark energy in the universe is replaced by this paradigm. 展开更多
关键词 gravitons Gravitational Redshift Baryon Mass Density SUPERNOVAE Spiral Galaxies
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Examining a Fifth Force Application by Using Dilaton Model and Padmanabhan Inflaton Scalar Field in Early Universe to Generate GW and Gravitons
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2022年第4期1155-1163,共9页
On page 17 of a book on Modified Gravity by Li and Koyama, there is a discussion of how to obtain a Fifth force by an allegedly non-relativistic approximation with a force proportional to minus the spatial derivative ... On page 17 of a book on Modified Gravity by Li and Koyama, there is a discussion of how to obtain a Fifth force by an allegedly non-relativistic approximation with a force proportional to minus the spatial derivative of a scalar field. If the scalar field says for an inflaton, as presented by Padmanabhan only depends upon time, of course, this means that no scalar field contributing to a fifth force our proposal in the neighborhood of Planck time is to turn the time into being equal to r/[constant times c]. This is in the neighborhood of Planck time. Then having done that, consider the initially Plank regime inflaton field as being spatially varying and from there apply a fifth force as a way to help initiate black hole production and possibly Gravitons. 展开更多
关键词 Dilaton Model Padmanabhan Inflaton Scalar Field GW gravitons
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New Insights into the Action of Gravitons in Spiral Galaxies
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作者 Firmin J. Oliveira 《Journal of High Energy Physics, Gravitation and Cosmology》 2023年第4期968-983,共16页
New details of the action of gravitons in spiral galaxies are described. The effect of the graviton energy loss is hypothesized to be coupled to the baryon mass in the galaxy. From this relation, it follows that the b... New details of the action of gravitons in spiral galaxies are described. The effect of the graviton energy loss is hypothesized to be coupled to the baryon mass in the galaxy. From this relation, it follows that the baryonic Tully-Fisher relation is applicable to not just the final velocity of the galaxy but also to the rotational velocity at each radial position. In addition, a quadratic equation for the baryonic mass distribution is derived from the equation of motion. These results are demonstrated by making fits to galaxy rotation curves using a mass to light ratio model as well as the quadratic model for the mass distribution. 展开更多
关键词 gravitons Gravitational Redshift Graviton Coupling Coefficient Spiral Galaxies Mass to Light Ratio
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Detailing Coherent, Minimum Uncertainty States of Gravitons, as Semi Classical Components of Gravity Waves, and How Squeezed States Affect Upper Limits To Graviton Mass 被引量:2
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作者 Andrew Beckwith 《Journal of Modern Physics》 2011年第7期730-751,共22页
We present what is relevant to squeezed states of initial space time and how that affects both the composition of relic GW, and also gravitons. A side issue to consider is if gravitons can be configured as semi classi... We present what is relevant to squeezed states of initial space time and how that affects both the composition of relic GW, and also gravitons. A side issue to consider is if gravitons can be configured as semi classical 'particles', which is akin to the Pilot model of Quantum Mechanics as embedded in a larger non linear 'deterministic' background. 展开更多
关键词 SQUEEZED State Graviton GW PILOT Model
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Interactive Lagrangian density between massive photons and gravitons
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作者 邓燕斌 《Journal of Chongqing University》 CAS 2006年第4期244-248,共5页
The interactive Lagrangian density of massive photons and gravitons is proposed after an investigation into the interaction between photons with or without mass under the influence of gravity either as classical field... The interactive Lagrangian density of massive photons and gravitons is proposed after an investigation into the interaction between photons with or without mass under the influence of gravity either as classical field, gravitational wave, or gravitons from a perspective of quantum field. This interactive Lagrangian density can provide a step-stone for further research of gravitational wave and the possible rest mass of photon. 展开更多
关键词 gravitational wave graviton massive photon interactive Lagrangian density
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Thermal Energy of Confined Gravitons can Vary Cold Geodesic Curves
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作者 Igor E. Bulyzhenkov 《Journal of Physical Science and Application》 2014年第7期468-474,共7页
Internal energy of real warm bodies can change their kinetic-potential energy balance on Keplerian orbits and relativistic geodesic. Chiral nature of the mass results in chirality of gravitons and their energy confine... Internal energy of real warm bodies can change their kinetic-potential energy balance on Keplerian orbits and relativistic geodesic. Chiral nature of the mass results in chirality of gravitons and their energy confinement within the constant energy charge of a moving thermodynamical body. Zero energy-momentum gravitons provide dissipative self-heating and spiral fall of massive stars on gravitating centers. Computed self-heating of the pulsar PSR B1913+16 quantitatively describes its period decay without an outward emission of metric waves in question. Deviation of warm bodies from geodesic trajectories of cold point matter complies with Einstein's directives toward pure field physics of material space plenum without metric singularities. 展开更多
关键词 Zero particles chiral graviton SELF-HEATING thermal time evolution.
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Probability of Obtaining the Planck Constant, in a Universe Modeled as a Giant Black Hole by Bose Einstein Condensates of Gravitons Using Hawking Argument and Scaling
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2023年第1期134-141,共8页
We use the methodology of A. D. Linde to model the probability of obtaining a cosmological constant which is in turn affected by scaling arguments for a Bose Einstein gravitational condensate as given by Chavanis, in ... We use the methodology of A. D. Linde to model the probability of obtaining a cosmological constant which is in turn affected by scaling arguments for a Bose Einstein gravitational condensate as given by Chavanis, in 2015. The net result, is that the scaling argument so provided allows for a gravitational constant commensurate with the size of the Universe, using arguments which appear to be simple but which give, if one has the conditions for modeling the Universe as a “black hole” virtually 100 % chance for the cosmological constant arising. 展开更多
关键词 Black Hole Bose Einstein Condensate Planck Constant Massive Graviton Hubble Parameter
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Completing the Standard Model with Gravity by General Relativizing Quantum Physics (RQP) (Coupling Spin-2 Gravitons with Spin-0 Particles to Generate Higgs Mass)
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作者 Walter James Christensen Jr. 《Journal of Modern Physics》 2015年第13期1969-1985,共17页
After a straightforward general relativistic calculation on a modified flat-spacetime metric (developed from the fluctuating vacuum energy interacting with a graviton field), a pair of n-valued covariant and contravar... After a straightforward general relativistic calculation on a modified flat-spacetime metric (developed from the fluctuating vacuum energy interacting with a graviton field), a pair of n-valued covariant and contravariant energy momentum tensors emerged analogous to quantized raising and lower operators. Detaching these operators from the general relativistic field equations, and then transporting them to act on extreme spacetimes, these operators were able to generate fundamental particle boson masses. In particular, the operators precisely generated Higgs mass. Then by applying a consistency approach to the gravitational field equations—similar to how Maxwell applied to the electromagnetic ones—it allowed for the coupling of spin-to-mass, further restricting the particle mass to be in precise agreement with CODATA experimental values. Since this is a massless field approach integrated discretely with a massive one, it overcomes various renormalizing difficulties;moreover it solves the mass hierarchal problem of the Standard Model of particle physics, and generates its spin and therefore shows quantum physics to be a subset of General Relativity, just as Einstein had first imagined. 展开更多
关键词 Standard Model Particle PHYSICS GENERAL Relativity Geometric PARTICLES Higgs MASS Relativized Quantum PHYSICS RQP Graviton Gravitational Lagrangian Consistency Formulation for GRAVITY MASS Hierarchal Problem
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Evolution and Definition of Dark Energy (Gravitons)
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作者 Sanjay S. Sastry 《Journal of Modern Physics》 2016年第15期2038-2042,共6页
Dark energy is the name given for an unknown force behind an expanding universe. It fills all the space with low density. Graviton particles are a type of boson in dark energy. There are possibilities of various diffe... Dark energy is the name given for an unknown force behind an expanding universe. It fills all the space with low density. Graviton particles are a type of boson in dark energy. There are possibilities of various different types of gravitons, with and without mass. The availability of gravitons increased during Populations I and II due to increase in star formations, novas, supernovas, etc. This, in turn, caused the universe to expand at an exponential rate. Any confirmation of its existence has yet to be provided yet this author believes graviton particles were found using the large Hadron Collider. Dark energy (gravitons) will eventually be described as a force or a warp in space-time. Any confirmation of its existence has yet to be provided. But, in December 2015, CERN scientists reported that proton smashing in both of the large Hadron Collider’s principal detector systems, called ATLAS and CMS, had discovered an anomaly in the signals measured at energies higher than those needed to make the Higgs boson. This possible particle is 12 times heavier than Higgs boson that decays into two gamma rays and has a mass of 1400 GeV. This is an exciting possibility that this could be the graviton particle. All the other fundamental forces have associated particles and so the graviton is extremely anticipated. This could change the Standard Model and a possibility of whole new physics. Currently, all statistical effects have not been taken into consideration, therefore, five-sigma, considered the gold standard for discovery, is nowhere close. 展开更多
关键词 Dark Energy Graviton Particles CERN DENSITY Cosmological Constant
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Using “Enhanced Quantization” to Bound the Cosmological Constant, and Computing Quantum Number n for Production of 100 Relic Mini Black Holes in a Spherical Region of Emergent Space-Time 被引量:4
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2018年第3期549-566,共18页
We are looking at comparison of two action integrals and we identify the Lagrangian multiplier as setting up a constraint equation (on cosmological expansion). This is a direct result of the fourth equation of our man... We are looking at comparison of two action integrals and we identify the Lagrangian multiplier as setting up a constraint equation (on cosmological expansion). This is a direct result of the fourth equation of our manuscript which unconventionally compares the action integral of General relativity with the second derived action integral, which then permits Equation (5), which is a bound on the Cosmological constant. What we have done is to replace the Hamber Quantum gravity reference-based action integral with a result from John Klauder’s “Enhanced Quantization”. In doing so, with Padamabhan’s treatment of the inflaton, we then initiate an explicit bound upon the cosmological constant. The other approximation is to use the inflaton results and conflate them with John Klauder’s Action principle for a way, if we have the idea of a potential well, generalized by Klauder, with a wall of space time in the Pre Planckian-regime to ask what bounds the Cosmological constant prior to inflation, and to get an upper bound on the mass of a graviton. We conclude with a redo of a multiverse version of the Penrose cyclic conformal cosmology. Our objective is to show how a value of the rest mass of the heavy graviton is invariant from cycle to cycle. All this is possible due to Equation (4). And we compare all these with results of Reference [1] in the conclusion, while showing its relevance to early universe production of black holes, and the volume of space producing 100 black holes of value about 10^2 times Planck Mass. Initially evaluated in a space-time of about 10^3 Planck length, in spherical length, we assume a starting entropy of about 1000 initially. 展开更多
关键词 INFLATON Action Integral COSMOLOGICAL Constant Penrose Cyclic Cosmology Black Holes Massive gravitons ENHANCED QUANTIZATION
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The Principle of Equivalence: Periastron Precession, Light Deflection, Binary Star Decay, Graviton Temperature, Dark Matter, Dark Energy and Galaxy Rotation Curves 被引量:3
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作者 F. J. Oliveira 《Journal of High Energy Physics, Gravitation and Cosmology》 2021年第2期661-679,共19页
The nature of the principle of equivalence is explored. The path of gravitons is analyzed in an accelerating system equivalent to a gravitating system. The finite speed of the graviton results in a delay of the gravit... The nature of the principle of equivalence is explored. The path of gravitons is analyzed in an accelerating system equivalent to a gravitating system. The finite speed of the graviton results in a delay of the gravitational interaction with a particle mass. From the aberration found in the path of the graviton we derive the standard expression for the advancement of the periastron of the orbit of the mass around a star. In a similar way, by analysing the aberrations of the graviton and light paths in an accelerating reference frame, the expression for the deflection of light by a massive body is obtained identically to the standard result. We also examine the binary star system and calculate the decay in its orbital period. The decay is attributed to the redshift of the graviton frequency relative to the accelerating system. Here too, we obtain good agreement with experimental measurements. Also, hypothesizing that gravitons behave like photons, we determine the temperature of the gravitons in a binary star system and form the Bose-Einstein distribution. Finally, we show how the redshift of gravitons may be the source of dark matter, dark energy and flat line spiral galaxy rotation curves. 展开更多
关键词 gravitons Binary Stars Galaxy Rotations Dark Matter Dark Energy
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How to Obtain a Mass of a Graviton, and Does This Methodology Lead to Voids? 被引量:2
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2020年第3期416-439,共24页
Using the Klauder enhanced quantization as a way to specify the cosmological constant as a baseline for the mass of a graviton, we eventually come up and then we will go to the relationship of a Planck Length to a De ... Using the Klauder enhanced quantization as a way to specify the cosmological constant as a baseline for the mass of a graviton, we eventually come up and then we will go to the relationship of a Planck Length to a De Broglie length in order to link how we construct a massive graviton mass, with cosmological constant and to interface that with entropy in the early universe. We then close with a reference to the possible quantum origins of e folding and inflation. This objective once achieved is connected with a possible mechanism for the creation of voids, in the later universe, using a construction of shock fronts from J. P. Onstriker, 1991 and followed up afterwards with Mukhanov’s physical foundations to Cosmology book section as to indicate how variable input into self reproduction of the Universe structures may lead to void formation in the present era. A connection with Wesson’s 5 dimensional cosmology is brought up in terms of a generalized uncertainty principle which may lead to variations of varying energy input into self reproducing cosmological structures which could enable non uniform structure formation and hence voids. One of the stunning results is that the figure of number of gravitons, about 1058, early on, is commensurate with a need for negative pressure, (middle of manuscript) which is a stunning result, partly based on Volovik and weakly interacting Bose gas model for pressure, which is completely unexpected. Note that in quantum physics, the idea statistically is that at large quantum numbers, we have an approach to classical physics results. We will do the same as to our cosmological work. This means that the <img src="Edit_3fd07615-be41-41a5-90b8-a24ef8f2c3f3.png" alt="" />, in our last set of equations, which as we indicate has the surprise condition that for Pre-Planckian space-time that a very large value for initial Pre Planckian dimensions <em>d</em><sub>min</sub> which is the dimensional input into the Pre Planckian state, prior to emergence into Planckian cosmology conditions. We conclude by stating the following question. Can extra dimensions come from a Multiverse feed into Pre-Planckian space-time? See Theorem at the end of this publication. Our answer is in the affirmative, and it has intellectual similarities to George Chapline’s work with Black hole physics. 展开更多
关键词 Black Holes Enhanced Quantization gravitons Voids
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Identifying a Kaluza Klein Treatment of a Graviton Permitting a Deceleration Parameter <i>q</i>(<i>z</i>) as an Alternative to Standard DE 被引量:1
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2019年第1期193-207,共15页
The case for a four-dimensional graviton mass (non-zero) influencing reacceleration of the universe in five dimensions is stated, with particular emphasis on whether five-dimensional geometries as given below give us ... The case for a four-dimensional graviton mass (non-zero) influencing reacceleration of the universe in five dimensions is stated, with particular emphasis on whether five-dimensional geometries as given below give us new physical insights as to cosmological evolution. A comparison with the quantum gas hypothesis of Glinka shows how stochastic GW/gravitons may emerge in vacuum-nucleated space, with emphasis on comparing their number in phase space with different strain values. The final question is, can DM/DE be explained by a Kaluza Klein particle construction? i.e., the author presents a Kaluza Klein particle representation of a graviton mass with the first term to the right equal to a DM contribution and with the 2nd term to the right being effective DE. We propose obtaining the rate of production of relic universe Kaluza Klein gravitons, based on an analogy to the production of axions from the Sun over a wide range of frequencies. This last statement is a work in progress being developed by the author, which is being discussed with colleagues of the author in Chongqing University. 展开更多
关键词 “Massive” gravitons Entropy Kaluza KLEIN DARK MATTER DARK Energy
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How 5 Dimensions May Fix a Deterministic Background Spatially as to Be Inserted for HUP in 3 + 1 Dimensions, and Its Relevance to the Early Universe 被引量:1
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2023年第1期1-6,共6页
We will first of all reference a value of momentum, in the early universe. This is for 3 + 1 dimensions and is important since Wesson has an integration of this momentum with regards to a 5 dimensional parameter inclu... We will first of all reference a value of momentum, in the early universe. This is for 3 + 1 dimensions and is important since Wesson has an integration of this momentum with regards to a 5 dimensional parameter included in an integration of momentum over space which equals a ration of L divided by small l (length) and all these times a constant. The ratio of L over small l is a way of making deterministic inputs from 5 dimensions into the 3 + 1 dimensional HUP. In doing so, we come up with a very small radial component for reasons which due to an argument from Wesson is a way to deterministically fix one of the variables placed into the 3 + 1 HUP. This is a deterministic input into a derivation which is then First of all, we restate a proof of a highly localized special case of a metric tensor uncertainty principle first written up by Unruh. Unruh did not use the Roberson-Walker geometry which we do, and it so happens that the dominant metric tensor we will be examining, is variation in δg<sub>tt</sub>. The metric tensor variations are given by δg<sub>rr</sub>, δg<sub>θθ</sub> and δg<sub>φφ</sub> are negligible, as compared to the variation δg<sub>tt</sub>. From there the expression for the HUP and its applications into certain cases in the early universe are strictly affected after we take into consideration a vanishingly small r spatial value in how we define δg<sub>tt</sub>. 展开更多
关键词 Massive gravitons Heisenberg Uncertainty Principle (HUP) Riemannian-Penrose Inequality
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