## Beyond our universe lies our future

LoopdoctorApril 28March 11Level I Student

It is hard to take space-time seriously. What is the consequence for the four-dimensional shape of our universe? For better understanding, this article uses 2-d sections to visualize Einstein’s first model. This static model used a cosmological constant which Einstein later withdrew. The authors present a new 3-sphere...

After publication in 1905 of his Special Relativity, Einstein was praised but he also got a lot of criticism. Paul Ehrenfest, Mach and others revealed inconsistencies. Einstein listened to them and made crucial improvements in 1916 so that the famous paradoxes disappeared. It formed the basis for his General...

## Mysticism in Relativity

LoopdoctorMarch 30April 20Level I Student

How many people understand Relativity? Many say they do, but how do they explain the paradoxes of Special Relativity (SR)? Do they know that Einstein changed his mind about his own SR in 1916? They should know that he abandoned the equality of reference frames already in 1916, solving the twin paradox. Then Einstein...

## Our universe stays 11 billion years old

LoopdoctorMarch 17April 200Level I Student

The age of our universe depends on the estimate of the Hubble constant. Recent measurements (WHAP, Planck, ed) would mean an age of more than 14.5 billion years. This article takes a different approach, based on Noether’s theorem on energy conservation and the comoving coordinates of Robertson and Walker. The age now...

Einstein used a complicated set of tensors in his General Relativity. However in his writing in 1916 he used a Laplace operator, which can help us to determine the gravitational potential inside a sphere without having to go into his field equations. Many surprising results: The behaviour of clocks is in line with all...

In 1908 Hermann Minkowski improved Special Relativity Theorie by replacing the Lorentz transformation by his own differential formula. Einstein followed him because now the speed of the proper observer could vary. Later Einstein made use of Minkowski’s formula in his General Relativity. Another advantage was that the...

The Hubble law (1931) relates the speed of a galaxy to its distance. The Hubble law works well for galaxies within our local group, but was never meant for highly redshifted galaxies, since it is based on the non-relativistic Doppler Effect. For highly redshifted galaxies, like GN-z11 with a redshift “z” of 11.1,...

## Lorentz transformation or Minkowski formula?

LoopdoctorFebruary 20February 200Level II Advanced

In his Theory of General Relativity, Einstein replaced the Lorentz transformation by the formula of his tutor Minkowski. What happens if we apply the Minkowski formula back into the Theory of Spécial Relativity? What are the differences? This article shows: the Minkowski’s formula doesn’t create the Twin- and Ehrenfest...

## Density is relative to Speed and has No Maximum

LoopdoctorFebruary 20February 200Level I Student

The laws of physics in proper frames (at high speed for example) are limited in their applicability. In the Large Hadron Collider (LHC) at CERN high speed particles are being researched. A key question is, to what extend can a (hypothetical) proper observer, travelling along with a proton in the LHC, apply the laws of...

## Relativity Solutions need repair

LoopdoctorFebruary 20February 200Level III Doctor

Einstein’s publication in the ‘Annalen der Physik’ urged many scientists to work. Did you know that there are five different Schwarzschild Solutions? How do you know which one is right? This article presents you three ways to check the outcome: The General Relativity Principles, the GR field equations and the Laplace...