**The rest of the paper in fact makes use of some simple geometrical arguments to obtain distances and I have to admit I do not understand what they refer to. Proper null geodesics of the metric must be calculated to be able to say anything about distances.**

Answer: Those simple arguments are worth understanding. Within them are :

- the concept that light that reaches us here and now, has to “diffract” from hypersphere to hypersphere at 45 degrees.
- The current Doppler shift is replaced by a projection of a 4D k-vector onto a local hyperplane (a hyperplane is a local approximation of a very large hypersphere in a small neighborhood). As light travels from hypersphere to hypersphere the 4D k-vector adjust itself until it becomes just a retarded electromagnetic wave always traveling at 45 degrees.

This theory was created using a totally different framework than the one you are used to. That explain the difficulty you faced. The idea that **“one needs to use null geodesics of the metric to say anything about distances”** show attachment to standard tools. The obvious distinction that the hypersphere has a symmetric and homogeneous distribution of mass and thus will pose a very different metric than the ones the reviewer might be used to was not realized.

*** I do not understand the assertion that the speed of light is \sqrt{2}c. What is light for the author? What is the experiment which would give such a result?**

No experiment would show that since we live in a 3D Hypersphere.

The proposed article would support the Hyperspherical Geometry and the Lightspeed Expansion and thus indirectly support a dynamical reference frame traveling at the speed of light.

I mentioned in the past answers to this Peer Review. Light is a spatial modulation of dilaton field. Not unlike a modulation on a carrier.

- Big Bang or Many Bangs..:)
- The Universe Always Ring Ten Times..:)
- Das Klingerln des Universums
- The Flying Orchestra
- How did I correct Newton's and Gauss' Laws

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