Relativity: Special, General, and Cosmological

Rindler, Wolfgang; Salisbury, Donald

doi:10.1119/1.1622355

Cited by 310 publications

(689 citation statements)

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“…Thus we advocate that the 22 compactified, curled extra dimensions are not only the cause of dark energy, but that they also play the role of Einstein's cosmological constant or negative gravity. Similar qualitative conclusions may be drawn using the theory of polar media due to the brothers Cosserat [19] and also using Cartan's torsional curvature [9,10,17].…”

Section: Negative Gravity As Compactified Dimensionssupporting

confidence: 52%

A Fractal Menger Sponge Space-Time Proposal to Reconcile Measurements and Theoretical Predictions of Cosmic Dark Energy

Naschie¹

2013

IJMNTA

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The 95.5 percent of discrepancy between theoretical prediction based on Einstein's theory of relativity and the accurate cosmological measurement of WMAP and various supernova analyses is resolved classically using Newtonian mechanics in conjunction with a fractal Menger sponge space proposal. The new energy equation is thus based on the familiar kinetic energy of Newtonian mechanics scaled classically by a ratio relating our familiar three dimensional space homology to that of a Menger sponge. The remarkable final result is an energy equation identical to that of Einstein's but divided by 22 so that our new equation reads as In other words our analysis confirms the cosmological data putting the total value of measured ordinary matter and ordinary energy of the entire universe at 4.5 percent. Thus ordinary positive energy which can be measured using conventional methods is the energy of the quantum particle modeled by the Zero set in five dimensions. Dark energy on the other hand is the absolute value of the negative energy of the quantum Schrödinger wave modeled by the empty set also in five dimensions.

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Section: Negative Gravity As Compactified Dimensionssupporting

confidence: 52%

A Fractal Menger Sponge Space-Time Proposal to Reconcile Measurements and Theoretical Predictions of Cosmic Dark Energy

Naschie¹

2013

IJMNTA

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“…[14,19,[28][29][30][31]). The coordinate time duration ∆t R corresponding to the proper time duration ∆τ R is…”

Section: Uniform Acceleration Of a Born-rigid Objectmentioning

confidence: 99%

Visualization of Thomas–Wigner Rotations

Beyerle

2017

Symmetry

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Abstract:It is well known that a sequence of two non-collinear Lorentz boosts (pure Lorentz transformations) does not correspond to a Lorentz boost, but involves a spatial rotation, the Wigner or Thomas-Wigner rotation. We visualize the interrelation between this rotation and the relativity of distant simultaneity by moving a Born-rigid object on a closed trajectory in several steps of uniform proper acceleration. Born-rigidity implies that the stern of the boosted object accelerates faster than its bow. It is shown that at least five boost steps are required to return the object's center to its starting position, if in each step the center is assumed to accelerate uniformly and for the same proper time duration. With these assumptions, the Thomas-Wigner rotation angle depends on a single parameter only. Furthermore, it is illustrated that accelerated motion implies the formation of a "frame boundary". The boundaries associated with the five boosts constitute a natural barrier and ensure the object's finite size.

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“…Since, one never knows beforehand which of such simplifications are valid, one cannot make any general claim as to whether continued GR collapse gives rise to BHs or Naked Singularities, or some other non-singular objects. As to the various claims about the occurrences of naked-singularities, we may recall [30].…”

Section: Gravitational Collapsementioning

confidence: 99%