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Showing papers on "Planck force published in 2013"


Journal ArticleDOI
TL;DR: In this paper, the authors present new constraints on coupled dark energy from the recent measurements of the Cosmic Microwave Background Anisotropies from the Planck satellite mission, and derive a weak bound on the dark matter-dark energy coupling parameter.
Abstract: We present new constraints on coupled dark energy from the recent measurements of the Cosmic Microwave Background Anisotropies from the Planck satellite mission. We found that a coupled dark energy model is fully compatible with the Planck measurements, deriving a weak bound on the dark matter-dark energy coupling parameter \xi=-0.49^{+0.19}_{-0.31} at 68% c.l.. Moreover if Planck data are fitted to a coupled dark energy scenario, the constraint on the Hubble constant is relaxed to H_0=72.1^{+3.2}_{-2.3} km/s/Mpc, solving the tension with the Hubble Space Telescope value. We show that a combined Planck+HST analysis provides significant evidence for coupled dark energy finding a non-zero value for the coupling parameter \xi, with -0.90< \xi <-0.22 at 95% c.l.. We also consider the combined constraints from the Planck data plus the BAO measurements of the 6dF Galaxy Survey, the Sloan Digital Sky Survey and the Baron Oscillation Spectroscopic Survey.

166 citations


Journal ArticleDOI
TL;DR: The results from the Planck satellite reported in 2013 are consistent with cyclic models of the Universe for natural parameter ranges (i.e. order unity dimensionless coefficients) assuming the standard entropic mechanism for generating curvature perturbations as mentioned in this paper.
Abstract: We show that results from the Planck satellite reported in 2013 are consistent with cyclic models of the Universe for natural parameter ranges (i.e. order unity dimensionless coefficients), assuming the standard entropic mechanism for generating curvature perturbations. With improved precision, forthcoming results from Planck and other experiments should be able to test the remaining parameter range and confirm or refute the core predictions, i.e. no observable primordial $B$-mode polarization and detectable local non-Gaussianity. A new prediction, given the Planck 2013 constraints on the bispectrum, is a sharp constraint on the local trispectrum parameter ${g}_{NL}$; namely, the currently best-understood models predict it is negative, with ${g}_{NL}\ensuremath{\lesssim}\ensuremath{-}1700$.

98 citations


Journal ArticleDOI
TL;DR: In this paper, a generalized Friedmann-Robertson-Walker (FRW) metric is presented in the Randers-Finsler spacetime, which is consistent with the dipolar power modulation of the CMB anisotropy signaled by the Planck observation.
Abstract: Recently, the Planck 2013 results showed possible evidence for a dipolar power modulation of the CMB temperature fluctuations at low-l multipoles. This anomaly might imply certain deviations from statistical isotropy. To incorporate the Planck's data into the standard cosmological model, we propose an inflation model of the very early universe in an anisotropic spacetime. A generalized Friedmann-Robertson-Walker (FRW) metric is presented in the Randers-Finsler spacetime. We obtain the primordial power spectrum of the scalar perturbation with direction dependence, such as the dipolar modulation. This is consistent with the dipolar power modulation of the CMB anisotropy signaled by the Planck observation.

32 citations


Journal ArticleDOI
TL;DR: In this paper, the authors proposed a fully covariant Planck scale cutoff by cutting off the spectrum of the d'Alembertian, which is consistent with Lorentz contractions.
Abstract: While a natural ultraviolet cutoff, presumably at the Planck length, is widely assumed to exist in nature, it is nontrivial to implement a minimum length scale covariantly. This is because the presence of a fixed minimum length needs to be reconciled with the ability of Lorentz transformations to contract lengths. In this paper, we implement a fully covariant Planck scale cutoff by cutting off the spectrum of the d’Alembertian. In this scenario, consistent with Lorentz contractions, wavelengths that are arbitrarily smaller than the Planck length continue to exist. However, the dynamics of modes of wavelengths that are significantly smaller than the Planck length possess a very small bandwidth. This has the effect of freezing the dynamics of such modes. While both wavelengths and bandwidths are frame dependent, Lorentz contraction and time dilation conspire to make the freezing of modes of trans-Planckian wavelengths covariant. In particular, we show that this ultraviolet cutoff can be implemented covarian...

26 citations


Posted Content
01 Nov 2013-viXra
TL;DR: The Planck Model is summarised and some new observations are made in this article, where the fundamental particles are shown in systematic arrangement on mass levels and hadrons are arranged on sub-levels.
Abstract: The Planck Model is summarised and some new observations are made. The fundamental particles are shown in systematic arrangement on mass levels. Hadrons are arranged on sublevels. Length and mass scales of atomic and particle physics are shown to derive from Planck scale. 100 years after the publication of Niels Bohr’s atomic model, the Bohr Radius has been found to be a constant of the Planck Model with implications for dark energy.

24 citations


Journal ArticleDOI
TL;DR: In this paper, the equivalence of the wormhole bridges and the spooky action at a distance has been shown to be consistent with distinguishing two energy components, namely the quantum zero set particle component which we can measure and the quantum empty set component, which we cannot measure, i.e. the missing dark energy.
Abstract: Following an inspiring idea due to D. Gross, we arrive at a topological Planck energy Ep and a corresponding topological Planck length effectively scaling the Planck scale from esoterically large and equally esoterically small numbers to a manageably where P(H) is the famous Hardy’s probability for quantum entanglement which amounts to almost 9 percent and Based on these results, we conclude the equivalence of Einstein-Rosen “wormhole” bridges and Einstein’s Podolsky-Rosen’s spooky action at a distance. In turn these results are shown to be consistent with distinguishing two energy components which results in , namely the quantum zero set particle component which we can measure and the quantum empty set wave component which we cannot measure , i.e. the missing dark energy. Together the two components add to where E is the total energy, m is the mass and c is the speed of light. In other words, the present new derivation of the world’s most celebrated formula explains in one stroke the two most puzzling problems of quantum physics and relativistic cosmology, namely the physicomathematical meaning of the wave function and the nature of dark energy. In essence they are one and the same when looked upon from the view point of quantum-fractal geometry.

19 citations


Journal ArticleDOI
TL;DR: In this paper, the authors compare brane inflation models with the Planck data and the pre-Planck data (which combines WAMP, ACT, SPT, BAO and H-0 data) and find that the KKLMMT model can survive at the level of 2 sigma only if the conformal coupling between the Hubble parameter and the inflaton is less than O(10(-3)), which indicates a certain level of fine-tuning.
Abstract: In this paper, we compare brane inflation models with the Planck data and the pre-Planck data (which combines WAMP, ACT, SPT, BAO and H-0 data) The Planck data prefer a spectral index less than unity at more than 5 sigma confidence level, and a running of the spectral index at around 2 sigma confidence level We find that the KKLMMT model can survive at the level of 2 sigma only if the parameter beta (the conformal coupling between the Hubble parameter and the inflaton) is less than O(10(-3)), which indicates a certain level of fine-tuning The IR DBI model can provide a slightly larger negative running of spectral index and red tilt, but in order to be consistent with the non-Gaussianity constraints from Planck, its parameter also needs fine-tuning at some level

15 citations


Journal ArticleDOI
TL;DR: In this article, the authors show that any small deviations from homogeneity diverge as the effective Planck mass vanishes, with catastrophic consequences for the cosmology, and the physical origin of the divergence is due to the presence of non-zero scalar anisotropic stress from the non-minimally coupled scalar field.
Abstract: A non-minimally coupled scalar field can have, in principle, a negative effective Planck mass squared which depends on the scalar field Surprisingly, an isotropic and homogeneous cosmological universe with a non-minimally coupled scalar field is perfectly smooth as the rolling scalar field causes the effective Planck mass to change sign and pass through zero However, we show that any small deviations from homogeneity diverge as the effective Planck mass vanishes, with catastrophic consequences for the cosmology The physical origin of the divergence is due to the presence of non-zero scalar anisotropic stress from the non-minimally coupled scalar field Thus, while the homogeneous and isotropic cosmology appears surprisingly sensible when the effective Planck mass vanishes, inhomogeneities tell a different story

8 citations


Journal ArticleDOI
TL;DR: In this article, the authors study a phenomenological model which interpolates between the pure Lambda CDM model and the Dvali-Gabadadze-Porrati (DGP) braneworld model with an additional parameter alpha.

6 citations


Posted Content
01 Apr 2013-viXra
TL;DR: In this article, the relation between the Planck constant and the electric force of 1 Coulomb and the magnetic forces of 1 Henry is deduced, and it is proven that there is only one type of force and that is the force-balance of inertial forces, between the internal momentum of particles and the reversely oriented force of its own force-field in the surroundings of mass particles.
Abstract: This work derives the relation between the Planck constant and Einstein’s gravitational constant. The relation between the Planck constant and Newton’s gravitational constant is deduced. The relation between the Planck constant and the electric force of 1 Coulomb and the magnetic force of 1 Henry is deduced. It establishes that the Planck constant represents the density of momentum of the void space in the Universe. This work proves that gravitational force has its opposite force in the internal momentum of atomic particles of matter. It establishes that two terms mass and electric charge introduced by mankind are not known in nature. It is proven that, in nature, there is only one type of force and that is the force-balance of inertial forces, between the internal momentum of particles and the reversely oriented force of its own force-field in the surroundings of mass particles. This work further maintains that the essence of the composition of the mass of all atomic particles, as well as all force fields in the universe, is the same and is created by the compression of density of the momentum of the void space.

5 citations


01 Jan 2013
TL;DR: In this paper, the authors considered the properties of Planck's units when multiplied by the magic number (61 10 ) to obtain the mass, size and lifetime of the smallest Planck scale particle existing in the universe.
Abstract: Planck’s units when multiplied by the magic number ( 61 10 ) give the well-known physical properties of the universe, mass, length and time. Planck’s units divided by magic number gives the mass, size and lifetime of the smallest Planck scale particle existing in the universe. These considerations are shown to lead to pleasingly meaningful results.

Journal ArticleDOI
TL;DR: In this article, a postulate that the scalar-potential associated with particles are bounded by a Planck scale potential is introduced and equivalences between charge energy and mass energy are obtained.
Abstract: As the particles originating from point-like entities are associated with infinite self energies, a postulate, that the scalar-potential associated with particles are bounded by a Planck scale potential is introduced. By defining the self energy of a particle, equivalences between charge-energy and massenergy are obtained. The electromagnetic energy-momentum equation, de-Broglie’s electromagnetic wave-length and frequency for a charge particle in motion are presented resolving the “4/3” discrepancy. The non-covariance nature of the present classical electrodynamics is discussed and how the proposed postulate makes it a fully covariant theorem with the rest of the classical electrodynamics is presented. A way electromagnetic energy-momentum equation could potentially resolve the stability-problem of a charge particle is discussed and thereby a theoretical explanation to electron’s spin is presented.

Posted Content
01 Dec 2013-viXra
TL;DR: In this article, the inertial masses of the proton and of the electron can be associated to volumes of the unit cells of hyper-cubic lattices constructed in the momentum space.
Abstract: In this paper we propose that the inertial masses of the proton and of the electron can be associated to volumes of the unit cells of hyper-cubic lattices constructed in the momentum space. The sizes of the edges of these cells are given by the Planck’s momentum in the case of the electron, and by a modified Planck’s momentum in the case of the proton. We introduce a “conservation of information principle” in order to obtain the wave function which leads to this modified momentum. This modification is attributed to the curvature of the space-time, and in doing this, the concept of the entropy of a black hole has been considered. The obtained proton-electron mass ratio reproduces various results of the literature, and compares well with the experimental findings.

Posted Content
01 May 2013-viXra
TL;DR: In this article, the relationship between fundamental physical constants, such as the mass, radius, and cycle of the universe, is discussed, and relations between these constants are discussed. But the relationship is not discussed in detail.
Abstract: This article is about relations between fundamental physical constants. The mass, radius and cycle of the universe are the basis for calculating Planck units.

Posted Content
01 Feb 2013-viXra
TL;DR: The most recent evaluations of the Particle Data Group have made it possible to discern with precision the arrangement of the fundamental massive particles of the Standard Model on the mass levels of a network derived from the Planck Mass as mentioned in this paper.
Abstract: The most recent evaluations of the Particle Data Group have made it possible to discern with precision the arrangement of the fundamental massive particles of the Standard Model on the mass levels of a network derived from the Planck Mass.

Journal ArticleDOI
TL;DR: In this article, the graviton has a relation with theeT, the quantized energy of thought-carrying particle, which can be correlated with the Planck system of units like Ep (Planck energy), mp (planck mass), λp (plancker length) andτp (Plancker time).
Abstract: Graviton, the carrier of gravitational force, has remained as ever elusive to the physicists till today. But the graviton has a relation with theeT, the quantized energy of thought-carrying particle. This eT can be correlated with the Planck system of units like Ep (Planck energy), mp (Planck mass), λp (Planck length) andτp (Planck time). The same eT can also be correlated with the wavelength (λg) as well as the quantized energy (Eg)of the graviton liberated from a body of mass m.

01 Jan 2013
TL;DR: In this article, the authors have approximated particle behavior at radius of the Planck Length, such as, position, momentum, and energy has different interpretation with the Heisenberg uncertainty.
Abstract: In this theoretical study, we have approximated particle behaviour at radius of the Planck Length, , p � such as, position, momentum and energy has different interpretation with the Heisenberg uncertainty. Heisenberg uncertainty principle said that we can not get the fixed measurement of both position and momentum simultaneously. On the other hand, this theoretical study found that we can measure position and momentum, or position and time simultaneously even when . 0

01 Jan 2013
TL;DR: The Planck permittivity is derived from the Planck time and becomes an important parameter for the definition of a black hole model applied to Planck quantities as mentioned in this paper, and the emerging particle has all the characteristics of a Black hole electron and a precise evaluation of its gravitational and electric force is now possible.
Abstract: ============= The Planck permittivity is derived from the Planck time and becomes an important parameter for the definition of a black hole model applied to Planck quantities. The emerging particle has all the characteristics of a black hole electron and a precise evaluation of its gravitational and electric force is now possible.

01 Jan 2013
TL;DR: In this paper, the graviton has a relation with the T e, the quantized energy of a thought-carrying particle, which can be correlated with the Planck system of units like P E (Planck energy), P m (planck mass), P λ (plancker length), and P τ (Plancker time).
Abstract: Graviton, the carrier of gravitational force, has remained as ever elusive to the physicists till today. But the graviton has a relation with the T e , the quantized energy of thought-carrying particle. This T e can be correlated with the Planck system of units like P E (Planck energy), P m (Planck mass), P λ (Planck length) and P τ (Planck time). The same T e can also be correlated with the wavelength ) ( g λ as well as the quantized energy ) ( g E of the graviton liberated from a body of mass m.

Posted Content
13 Jan 2013
TL;DR: In this article, the authors propose to extend classical general relativity to Planck limit on (3+1) manifold and next quantize it in a classical and covariant way, respectively.
Abstract: There are known scalar theories of gravity on flat spacetime [1] explaining gravity as interaction between bodies. In last 50 years many of them start to be considered as alternative to classical general relativity. In all of this approaches authors try to extend gravity to the Planck limit. For this efforts the main problem in our opinion is effective quantization of this theories. In our approach we propose first to extend classical general relativity to Planck limit on (3+1) manifold and next quantize it in classical and covariant way.

01 Jan 2013
TL;DR: In this paper, the authors draw attention to a chain of physical identities that lie at the core of Planckian physics but also have important ramications in quantum and classical physics.
Abstract: We wish to draw attention to a chain of physical identities that lie at the core of Planckian physics but also have important ramications in quantum and classical physics. First in the chain is a somewhat surprising property of black holes, namely: the linear energy density of Schwarzschild black holes, unlike the conventional volume density, has the universal value: Fs = c 4 =4GN; regardless of their mass and size; second, and equally surprising, this new \ black hole constant " Fs coincides with the Planckian limit of both Coulomb’s electrostatic force and Newton’s gravitational force, that is, it represents the unication point of the static electro-gravitational force at the Planck scale of energy where \ Planck mass " and \ Planck charge " become interchangeable; third, Fs is identical with the value of the maximal tension conjectured by Gibbons in the framework of General Relativity, regardless of Planckian eects. We often refer to this \ maximal linear energy density, or tension " as superforce, or Planck force, in view of the identities noted above and here we discuss some of the far reaching consequences of this superforce. Among them: i) the existence of an unsurpassable concentration of energy at the core of singularity-free black holes, ii) the vanishing of quantum eects beyond the threshold of Planckian physics, an idea also known as classicalization of trans-Planckian physics and, iii) the Planckian saturation of a Lorentz boost and the concomitant threshold energy for the production of micro black holes in the so called TeV quantum gravity scenario.

Journal ArticleDOI
TL;DR: In this article, a new cosmological paradigm based upon global discrete self-similarity is proposed, which leads to a very large and discrete scale-dependent dependence for gravitational coupling constants.
Abstract: A new cosmological paradigm based upon global discrete self-similarity proposes a radical revision in our understanding of atomic scale dynamics. The discrete fractal scaling of this paradigm predicts a very large and discrete scale-dependence for gravitational coupling constants. This alternative gravitational scaling leads to revised values for the Planck mass, Planck length and Planck time, which appear to be more unified and physically comprehensible than is the case with the conventional Planck scale values. The fundamental interrelationship of the revised Planck mass, the corrected gravitational constant for atomic scale systems, the reduced Planck's constant and the velocity of light suggests a hidden meaning for Planck's constant. Within the context of the discrete fractal cosmological paradigm, Planck's constant is revealed as the fundamental unit of gravitational action for atomic scale systems. Implications for atomic scale dynamics are briefly outlined.

Posted Content
01 May 2013-viXra
TL;DR: In this article, the Friedmann-Robertson-Walker (FRW) metric of general relativity reduces to a simple Newtonian form, where a simple repulsion term can be added for dark energy.
Abstract: P. H. Frampton (author of Gauge Field Theory), in 2012 published a paper(1) noting that in observed flat spacetime the Friedmann-Robertson-Walker (FRW) metric of general relativity reduces to a simple Newtonian form, where a very simple repulsion term can be added for dark energy. Frampton postulated ad hoc outward acceleration due to dark energy: a = 2GM/R^2. We compare the predictions from Frampton's theory to more recent (March 2013) Planck space telescope cosmological parameters, which revise the earlier WMAP derived parameters. We prove a corrected version of Frampton's law using quantum gravity, and we discuss the breakdown in the FRW metric of general relativity, which is due to a false mainstream assumption that gravity and dark energy are independent variables.

Journal ArticleDOI
TL;DR: In this paper, an analytical approximation of the integral of the Planck distribution density with respect to a finite interval of spectrum is presented, and the integral and its related integrals in elementary functions are constructed.
Abstract: Calculation of thermal radiation transport frequently requires calculating the integral of the Planck distribution density with respect to a finite interval of spectrum. An analytical approximation of this integral and its related integrals in elementary functions is constructed.

Journal Article
TL;DR: In this article, the authors proposed a new mechanism to generate phases with large value of Planck constant in a rotating system with a rotating shaft associated with ATP synthase, which provides strong mathematical motivations for zero energy ontology (ZEO), causal diamonds (CDs), and hierarchy of (effective) Planck constants.
Abstract: The hierarchy of phases with effective value of Planck constant coming as an integer multiple of the ordinary Planck constant and interpreted as dark matter is crucial in the TGD inspired model of living matter. The challenge is to identify physical mechanisms forcing the increase of effective Planck constant h eff (whether to call it effective or not is to some extent matter of taste). The work with certain potential applications of TGD led to a discovery of a new mechanism possibly achieving this. The method would be simple: apply constant torque to a rotating system. The importance of the result is that it provides strong mathematical motivations for zero energy ontology (ZEO), causal diamonds (CDs), and hierarchy of (effective) Planck constants. The deeper function of the generator with rotating shaft associated with ATP synthase could be generation of phases with large value of Planck constant.