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Creating a (Quantum?) Constraint, in Pre Planckian Space-Time Early Universe via the Einstein Cosmological Constant in a One to One and Onto Comparison between Two Action Integrals 被引量:5
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第2期167-172,共6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). Two action integrals, one which is connected with quantum... We are looking at comparison of two action integrals and we identify the Lagrangian multiplier as setting up a constraint equation (on cosmological expansion). Two action integrals, one which is connected with quantum gravity is called equivalent to another action integral, and the 2nd action integral has a Lagrangian multiplier in it. Using the idea of a Lagrangian multiplier as a constraint equation, we draw our conclusions in a 1 to 1 and onto assumed equivalence between the two action integrals. The viability of the 1 to 1 and onto linkage between the two action integrals is open to question, but if this procedure is legitimate, the conclusions so assumed are fundamentally important. 展开更多
关键词 RICCI SCALAR inflaton physics
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How a Minimum Time Step and Formation of Initial Causal Structure in Space-Time May Void the Penrose Singularity Theorem, as in Hawkings and Ellis’s 1973 Write-Ups 被引量:1
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2018年第3期485-491,共7页
Using a root finder procedure to obtain we use an inflaton value due to use of a scale factor if we furthermore use .?From use of the inflaton, we initiate a procedure for a minimum scale factor, which would entail th... Using a root finder procedure to obtain we use an inflaton value due to use of a scale factor if we furthermore use .?From use of the inflaton, we initiate a procedure for a minimum scale factor, which would entail the , for a sufficiently well placed frequency ω. If the Non Linear Electrodynamics procedure of Camara et al. of General relativity was used, plus the modified Heisenberg Uncertainty principle, of Beckwith, and others, i.e . we come due to a sufficiently high frequency a case for which implies a violation of the Penrose singularity theorem, i.e . this is in lieu of ?. If this is not true, i.e. that the initial , then we will likely avoid for reasons brought up in this manuscript. 展开更多
关键词 inflaton physics CAUSAL Structure Non Linear ELECTRODYNAMICS
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Constraints, in Pre-Planckian Space-Time via Padmabhan’s &Lambda;<sub>initial</sub>&middot;<i>H</i><sup style="margin-left:4px;">-2</sup><sub style="margin-left:-17px;">initial</sub>&asymp;<i>o</i>(1) Approximation Leading to Initial Inflaton Constraints and Its Relation to Early Universe Graviton Production 被引量:1
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第2期322-327,共6页
We are looking at what if the initial cosmological constant is due to if we furthermore use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian space-time initia... We are looking at what if the initial cosmological constant is due to if we furthermore use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian space-time initial values. This assumes as an initial inflaton value, as well as employing Non-Linear Electrodynamics to the scale factor in , and the upshot is an expression for as an initial inflaton value/squared which supports Corda’s assumptions in the Gravity’s breath Electronic Journal of theoretical physics article. We close with an idea to be worked in further detail as to density matrices and how it may relate to gravitons traversing from a Pre-Planckian to Planckian space-time regime. We will write up an idea in far greater detail in a future publication. 展开更多
关键词 inflaton physics Density Matrix Equation Gravitons
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How to Determine a Jump in Energy Prior to a Causal Barrier, with an Attendant Current, for an Effective Initial Magnetic Field. In the Pre Planckian to Planckian Space-Time 被引量:1
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2018年第2期323-353,共31页
We start where we use an inflaton value due to use of a scale factor . Also we use as the variation of the time component of the metric tensor in Pre-Planckian space-time. Our objective is to find an effective magneti... We start where we use an inflaton value due to use of a scale factor . Also we use as the variation of the time component of the metric tensor in Pre-Planckian space-time. Our objective is to find an effective magnetic field, to obtain the minimum scale factor in line with Non Linear Electrodynamics as given by Camara, et al., 2004. Our suggestion is based upon a new procedure for an effective current based upon an inflaton time exp (i times (frequency) times (cosmological time)) factor as a new rescaled inflaton which is then placed right into a Noether Current scalar field expression as given by Peskins, 1995. This is before the Causal surface with which is, right next to a quantum bounce, determined by , with the next shift in the Hubble parameter as set up to be then . And is an initial degree of freedom value of about 110. Upon calculation of the current, and a resulting magnetic field, for the space time bubble, we then next obtain a shift in energy, leading to a transition from too. We argue then that the delineation of the term is a precursor to filling in information as to the Weyl Tensor for near singularity measurements of starting space-time. Furthermore, as evidenced in Equations ((26) and (27)) of this document, we focus upon a “first order” that checks into if a cosmological “constant” would be invariant in time, or would be along the trajectory of the time, varying Quinessence models. We close this document, with Maxwell equations as to Post Newtonian theory, for Gravity, with our candidates as to a magnetic field included in, with what we think this pertains to, as far as Gravo Electric and Gravo Magnetic fields, and then make suggestions as to a quantum version of this methodology for future gravitational wave physics research. This is Appendix G, this last topic, and deliberately set up future works paradigm which will be investigated in the coming year. It is based upon a Gravo Electric potential, and we make suggestions as to its upgrade in our future works, in early universe cosmolog 展开更多
关键词 inflaton physics CAUSAL Structure Penrose WEYL Tensor Conjecture Quinessence Gravo ELECTRIC Potential Gravo ELECTRIC and Gravo Magnetic Fields
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Examination of Schrodinger Equation in Pre-Planckian Space-Time Early Universe 被引量:1
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第1期21-28,共8页
We look at the Vuilli (1999) write up of a generalized Schrodinger equation with its Ricci scalar inclusion, in curved space-time. This has a simplified version in Pre-Planckian regime, which leads to comparing a resu... We look at the Vuilli (1999) write up of a generalized Schrodinger equation with its Ricci scalar inclusion, in curved space-time. This has a simplified version in Pre-Planckian regime, which leads to comparing a resultant admissible wave function with Bohmian reformulations of quantum physics. As was done earlier, we compare this result with a formulation of a modified “Poisson” equation from Poissons and Will from 2014, and then use inflaton physics. The resulting inflaton is then compared to the wave functional in the first part of this document. 展开更多
关键词 RICCI Tensor SCHRODINGER EQUATION Modified POISSON EQUATION Massive Gravity inflaton physics
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Examination of Sufficient Conditions for Forming Mass of “Massive Graviton”, from Early Universe 被引量:1
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第1期34-38,共5页
We start with a formulation of a modified “Poisson” equation from Poissons and Will as of 2014, and then use the Padmanabhan inter relationship between an inflaton and an early universe potential system. Then from t... We start with a formulation of a modified “Poisson” equation from Poissons and Will as of 2014, and then use the Padmanabhan inter relationship between an inflaton and an early universe potential system. Then from there, we come up with a quadratic equation for a minimum radius, for producing a “massive graviton” value. We then close with observations as to what this implies as to gravitational physics. 展开更多
关键词 Modified POISSON Equation MASSIVE GRAVITY inflaton physics
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How a Minimum Time Step Leads to a Causal Structure Used to Form Initial Entropy Production and High Frequency Gravitons, with 7 Subsequent Open Questions 被引量:1
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第3期493-502,共10页
We start where we use an inflaton value due to use of a scale factor . Also we use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian spacetime initial values. ... We start where we use an inflaton value due to use of a scale factor . Also we use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian spacetime initial values. In doing so, we come up with a polynomial expression for a minimum time step;we can call which leads to a development of the arrow of time. We show an inter relationship between the formation of the Arrow of time, and Causal structure, assuming the setting of H = 0 in the Friedman equation This in turn leads to entropy production at the start of causal structure in the onset of inflation. This then leads to three and a quarter pages of 7 open questions we think have to be answered, subsequently. It is noted that high frequency gravitational waves as specified are due to the 1/delta t entry in Equation (45) of the document which comes out to about 44 Hertz, and certainly is high frequency gravitational waves for the initial cosmological conditions, so this is definitely about high frequency gravitational wave focused initial conditions. 展开更多
关键词 inflaton physics CAUSAL Structure Entropy HFGW
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How a Minimum Time Step and Formation of Initial Causal Structure in Space-Time Is Linked to an Enormous Initial Cosmological Constant
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第3期454-460,共7页
We use a root finder procedure to obtain . We use an inflaton value due to use of a scale factor if we furthermore use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the ... We use a root finder procedure to obtain . We use an inflaton value due to use of a scale factor if we furthermore use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian space-time initial values. In doing so, it concludes with very restricted limit values for of the order of less than Planck time, leading to an enormous value for the initial Cosmological constant. 展开更多
关键词 inflaton physics CAUSAL Structure Non Linear ELECTRODYNAMICS 1.
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How a Minimum Time Step and Formation of Initial Causal Structure in Space-Time Is Linked to an Enormous Initial Cosmological Constant
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2018年第3期541-548,共8页
We use a root finder procedure to obtain and an inflaton value due to use of a scale factor if we furthermore use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planc... We use a root finder procedure to obtain and an inflaton value due to use of a scale factor if we furthermore use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian space-time initial values. In doing so, we obtain, due to the very restricted values for which are of the order of less than Planck time, results leading to an enormous value for the initial Cosmological constant. 展开更多
关键词 inflaton physics CAUSAL Structure NON-LINEAR ELECTRODYNAMICS
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How to Determine Initial Starting Time Step with an Initial Hubble Parameter H = 0 after Formation of Causal Structure Leading to Investigation of the Penrose Weyl Tensor Conjecture
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2018年第2期236-261,共26页
We start where we use an inflaton value due to use of a scale factor . Also we use as the variation of the time component of the metric tensor ?in Pre-Planckian Space-time. In doing so, what we lead up to using the Hu... We start where we use an inflaton value due to use of a scale factor . Also we use as the variation of the time component of the metric tensor ?in Pre-Planckian Space-time. In doing so, what we lead up to using the Huang Superfluid universe model, which is by the modified superfluid cosmology model leading to examining within the Pre Planckian regime, Curvature, small but non zero, and energy density . The Potential energy is given by what it would be if leading to a relationship of , where we will isolate conditions for the initial time and compare them against a root finder procedure given in another paper written by the author. Then, afterwards, assuming a modified Hubble parameter, with an initial Hubble parameter after the Causal surface with, right after a quantum bounce, determined by , is then . And is an initial degree of freedom value of about 110. Then, the graviton production rate is a function of time leading to a temperature T dependence, with M here is a chosen Mass scale, M of about 30 TeV, with d greater than or equal to zero, representing the Kaluza Klein dimensions assumed with the number of gravitons produced after the onset of Causal structure given by . This?? ?by Infinite quantum statistics is proportional to entropy. We close with a caveat as far as the implications of all this to the Penrose Conjecture about the vanishing of the Weyl tensor, in the neighborhood of a cosmological initial singularity. And what we think should be put in place instead of the Penrose Weyl tensor hypothesis near a “cosmological” singularity. And we close with a comment about the Weyl curvature tensor, in Pre Planckian to Planckian physics, and also a final appendix on the Mach’s principle as written by Sciama, in defining the initial space-time non-singular “bubble”. 展开更多
关键词 inflaton physics CAUSAL Structure Entropy Temperature Dependent INITIAL Graviton Production Kaluza KLEIN Dimensions Penrose WEYL Tensor CONJECTURE
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Examination of Minimum Time Step, from Modified Heisenberg Uncertainty Principle, Inflaton Physics and Black Hole Physics
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第1期39-45,共7页
First, we calculate the minimum length for the creation of a 1045 Hz relic Gravitational wave. Next, we look Padamababhan’s inflaton physics, and work done by the author for a modified Heisenberg Uncertainty principl... First, we calculate the minimum length for the creation of a 1045 Hz relic Gravitational wave. Next, we look Padamababhan’s inflaton physics, and work done by the author for a modified Heisenberg Uncertainty principle for constraints on a minimum time step. Sciama’s work in “Black hole explosions” (1982) gives us a linkage between a decay rate for black holes, in terms of a life time, and the mass, M of the black hole, which when combined with a simple exposition from Susskind and Hrabovsky (2013) for the most basic evolution the time change in energy E(t), which is how we form a first order treatment of the square of a minimum time step . We then reference what was done by Ng (2008) as far as infinite quantum statistics, for entropy as a particle count, and from first principle get constraints upon entropy production, as a function of boundaries on minimum time step. We assume massive Gravity, and obtain a peak 1036 Giga Hertz frequency range (1045 Hertz) for relic Gravitational waves, and Gravitons. 展开更多
关键词 MASSIVE GRAVITY inflaton physics INFINITE Quantum Statistics MODIFIED Poisson’s Equation
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Examination of <i>h</i>(<i>x</i>) Real Field of Higgs Boson as Originating in Pre-Planckian Space-Time Early Universe
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第1期62-67,共6页
We initiate working with Peskin and Schroder’s quantum field theory (1995) write up of the Higgs boson, which has a scalar field write up for Phi , with “lower part” of the spinor having h(x) as a real field, with ... We initiate working with Peskin and Schroder’s quantum field theory (1995) write up of the Higgs boson, which has a scalar field write up for Phi , with “lower part” of the spinor having h(x) as a real field, with ?in spatial averaging. Our treatment is to look at the time component of this h(x) as a real field in Pre-Planckian space-time to Planckian Space-time evolution, in a unitarity gauge specified potential , using a fluctuation evolution equation of the form which is in turn using with this being a modified form of the Heisenberg Uncertainty principle in Pre-Planckian space-time. From here, we can identify the formation of ?in the Planckian space-time regime. The inflaton is based upon Padmanabhan’s treatment of early universe models, in the case that the scale factor,? and t a time factor. The initial value of the scale factor is supposed to represent a quantum bounce, along the lines of Camara, de Garcia Maia, Carvalho, and Lima, (2004) as a non zero initial starting point for expansion of the universe, using the ideas of nonlinear electrodynamics (NLED). And from there isolating . 展开更多
关键词 inflaton physics Modified HUP HIGGS BOSON
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How Does a Setting of the Vacuum Energy Density, as Given Today, Lead to an Initial Hubble Radius for the Early Universe, i.e. How Does the Early Universe Partly Mimic a Black Hole?
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2018年第2期354-360,共7页
First we review what was done by Klauber, in his quantum field theory calculation of the Vacuum energy density, and in doing so, use, instead of Planck Mass, which has 1019 GeV, which leads to an answer 10122 times to... First we review what was done by Klauber, in his quantum field theory calculation of the Vacuum energy density, and in doing so, use, instead of Planck Mass, which has 1019 GeV, which leads to an answer 10122 times too large, a cut-off value of instead, a number, N, of gravitons, times graviton mass (assumed to be about 10°43 GeV) to get a number, N, count of about 1031 if the vacuum energy is to avoid an overshoot of 10122, and instead have a vacuum energy 10°47 GeV4. Afterwards, we use the results of Mueller and Lousto, to compare the number N, of 1031, assumed to be entropy using Ng’s infinite quantum statistics, to the ratio of the square of (the Hubble (observational) radius over a calculated grid size which we call a), here, a ~ a minimum time step we call delta t, times, the speed of light. Now in doing so, we use a root finder procedure to obtain where we use an inflaton value due to use of a scale factor if we furthermore use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian space-time initial values. 展开更多
关键词 inflaton physics Causal Structure Non Linear ELECTRODYNAMICS
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Calculating <i>&delta;g<sub>tt</sub></i>at Boundary of Start of Planckian Physics Due to 1 Million Relic Black Holes
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2017年第1期29-33,共5页
We use the ideas of a million black holes, at the boundary of contribution to the shift from Pre-Planckian to Planckian physics, as a summed up contribution from one million primordial black holes. I.e. this is assumi... We use the ideas of a million black holes, at the boundary of contribution to the shift from Pre-Planckian to Planckian physics, as a summed up contribution from one million primordial black holes. I.e. this is assuming a quantum bounce. This is an extension of work done by the author as to explain the nature of a transition from being tiny to when becomes 1 in value. Taking this into account, this article is a way to delineate the physics, inherent in the transition from to which puts a premium upon the growth of the inflaton, due to , with but with changing from , an 10255 increase in magnitude. This increase in magnitude may be the driver of subsequent inflation. When we have a pre quantum, especially if the inequality becomes an equality, and then the transition to marks the start of quantum gravity, whereas our black hole entropy model used to obtain a non zero entropy contribution from 1 million primordial relic black holes, as referenced, comes from Dr. Sen in an October 10 Run Run Shaw lecture in Stonybrook University. 展开更多
关键词 Massive Gravity inflaton physics Infinite Quantum Statistics (Usual) Black Hole Entropy
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Setting Time as Purely Imaginary in Regime of Space-Time before Causal Barrier and Planckian Space-Time
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 2018年第1期92-95,共4页
We start where we use an inflaton value due to use of a scale factor . In doing so, using the approximations brought up in the case of an early universe generation of a magnetic field, we come up with the stunning dat... We start where we use an inflaton value due to use of a scale factor . In doing so, using the approximations brought up in the case of an early universe generation of a magnetic field, we come up with the stunning datum of a Pre Planckian space-time with purely imaginary time. The consequences of such are brought up in our document. We use what is brought up in a prior article as to Pre Planckian to Planckian generation of Magnetic fields to make our point. Here, we assume, in the Pre Planckian space-time, a singular injection of space-time, which we argue, if there is no spatial variation of the Inflaton field, so used, and we just have ONE Pre Planckian time instant that this will be imaginary valued time, hence leading to pure Tunneling behavior. Whatever we are assuming, using a Penrose cosmology to initiate CCC universe recycling, in terms of energy, is transferred to Planckian space-time. 展开更多
关键词 inflaton physics CAUSAL Structure
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