Contrary to popular believe, there are many Schwarzschild Solutions. Karl himself found one to a mass-point and one to a sphere of in-compressible liquid early 1916. After Karl’s death Einstein made important changes in his official publication: he abandoned his g = -1 requirement in a footnote. Nobody checked...

Many cosmologists accept “Dark Energy” as representing today about 70% of all mass-energy of the universe and think it’s increasing every day. Where does it come from if the universe is all there is? A universal model should be based on laws of physics, energy conservation and constants of nature being constant. Emmy...

## Beyond our universe lies our future

LoopdoctorsApril 28April 280Level 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...

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

LoopdoctorsMarch 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

LoopdoctorsMarch 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...

## Hubble Law is out of date for highly redshifted galaxies

loopdoctorFebruary 26February 260Level I Student

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...