Stellar matter distribution with scale-invariant hierarchical structuring

Fahr, H. J.; Heyl, M.

doi:10.15406/paij.2019.03.00173

Cited by 5 publications

(9 citation statements)

References 8 publications

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“…The question, however, could be asked now whether this is different when the relativistic aberration of the position of the stellar gravity center recognized by the photon at his passage has to be taken into account as discussed in earlier papers by [1,2,3,4]. Because then the photon on its trajectory along the x-axis permanently may recognize a component of the gravitational field acting in the direction opposite to the motion of the photon and thus changing the energy of the propagating photon.…”

Section: Basic Calculationmentioning

confidence: 99%

“…Considering the photon at a position x on its passage along the x-axis, it will while arriving at x have located the stellar gravity center in the rest frame of the system under an angle ϑ given by cos ϑ= x/ √x 2 +y 2 , where y = r s is taken to be the closest distance of the x-axis to the stellar gravity center (see Figure 1). Now we shall take into account the relativistic fact that the moving photon will recognize the stellar gravity center under an aberrated angle ϑ' which is given by (see [3]):…”

Section: Basic Calculationmentioning

confidence: 99%

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confidence: 99%

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Passage of Cosmic Photons Over Stellar Limbs

2022

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In several preceding papers [1,2,3,4] we have discussed particle and photon propagations through cosmic gravity fields under the new aspect that gravitational field sources are seen by moving masses or photons under relativistically aberrated positions. This causes astonishing effects like the reduction of peculiar motions of stars or a permanent increase of redshifts of photons at their propagations through cosmic space with uniform matter distribution. In this paper here we shall, however, now study under the given new auspices of relativistically displaced gravity sources the passage of photons over the limbs of stellar surfaces and ask whether such photons not only thereby experience the well known and proven Einstein‘ían deflection, but may also be subject to a discrete, asymptotic energy loss which is related to the mass of the touched star and the impact distance of the photon from this star. We shall investigate here this effect and compare it with Einsteinìan expectations.

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Section: Basic Calculationmentioning

confidence: 99%

Section: Basic Calculationmentioning

confidence: 99%

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confidence: 99%

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Passage of Cosmic Photons Over Stellar Limbs

2022

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“…In an infinite universe R max → ∞with finite density ρ U the expression for Kǁ (ß) consequently can only be finite, if this density in such a universe scales with ρ U~1 / Rmax . Otherwise, if such a physical relation is not evident or somehow supported by any physics behind, the density in such a universe should then simply vanish; i.e.ρ U = 0!, as it does for instance in a scale-invariant hierarchically structured universe with vanishing or negative curvature k = 0, k = −1 [13,14].…”

Section: Ormentioning

confidence: 92%

Untitled

2020

ATCP

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Cosmologists present clear observational evidences that stellar objects like stars and galaxies do carry out pronounced proper motions, and the question may be raising how these peculiar motions might evolve in time. In this article we study these peculiar motions of single objects, independent whether of microscopic or macroscopic nature, embedded in a globally homogeneous, static, massive universe with inherent gravity. Aims: We show that these objects at their motions, even in a homogeneous universe around them, are permanently subject to net gravitational forces due to the fact that in a post-Newtonian relativistic treatment the sources of cosmic masses are seen under retarded positions, retarded by the time it takes to communicate via gravitons the positions of these masses to the moving object. Methods: This "aberrational" recognition of massive source points on the one hand leads to a braking power permanently decelerating the peculiar motion of any cosmic object, on the other hand it also effects the wave lengths of all photons freely propagating through cosmic space under the action of cosmic gravity. Photons, even in a static homogeneous universe, undergo a permanent red-shifting, since working permanently against a net gravitational force from the direction opposite to the photon's propagation direction. Results: We do show that the observationally confirmed redshifts of photons from distant galaxies under the new auspices appear as a pure measure of the distance which the photons passed from its galactic emitter to us. In this view redshifts have nothing to do with the Hubble dynamics of the universe and its emitters. Since, however, the existence of Hubble-induced redshifts cannot be excluded, we also look into a combination of both, gravitationally induced redshifts zg and Hubble-induced redshifts zH. We show that gravitationally induced redshifts zg of course also appear in an expanding universe, and it can be demonstrated that for instance in a "coasting universe" with a constant expansion rate R˙ and with R α t both these redshifts zg and zH would lead to similar results.

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“…From this star-correlation function ( ) l ξ we will deduce in the following an associated model for the underlying cosmic matter density distribution ( ). U U l ρ ρ = This we first did for a different aspect in a recent paper Fahr etal., 32 . We use the well confirmed correlation function ( ) l ξ based on astronomical observations of the visible star and galaxy constellation which is surrounding us seen from our cosmic vantage point, -and, according to the generally assumed cosmological principle, also should surround every other cosmic vantage point in an analogous and equivalent manner, unless the generally accepted, sacrosanct cosmological principle would turn out to be violated,-in which case, however, all the other Robertson-Walker cosmologies would as well become invalid, and even taken broader, all cosmology had to be given up.…”

Section: R T T ∼mentioning

confidence: 99%

A universe with a constant expansion rate

Fahr¹,

Heyl²

2020

PAIJ

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One of the strongest supports for the existence of a cosmological vacuum energy density Λ is given by the SN-Ia luminosities as function of the redshift z of the host galaxies, since they seem to indicate an accelerated expansion of the universe in more recent cosmic times. In this paper, we show that one in fact, however, can start out from the astronomical observations of two-point correlation functions regulating the positions of galaxies and clusters of galaxies and derive from them the average cosmic mass density in the universe. We obtained that for the scale-invariant mass distribution derived from these correlation functions we only obtain a finite mass density for a positive curvature parameter 1, k = + while for curvature parameters 0 k = and 1 k = − one obtains vanishing cosmic mass densities. In these latter universes one consequently would find conditions for a "coasting cosmology" fulfilled which abolishes the need for a cosmic vacuum energy .

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Stellar matter distribution with scale-invariant hierarchical structuring

Cited by 5 publications

References 8 publications

Passage of Cosmic Photons Over Stellar Limbs

Passage of Cosmic Photons Over Stellar Limbs

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A universe with a constant expansion rate

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