Hypergeometrical Universe

Second Peer Review - 1

This manuscript presents the predicted luminosity distance in the Hypergeometrical Universe (HU) model and compares against the Union supernova compilation. Unfortunately, I do not believe that it is suitable for publication. I detail (only the major) issues below.

The gravitational constant changing dramatically throughout the history of the universe is disfavored by growth-of-structure constraints, pulsar-timing experiments,

Answer: Current Growth of structure constraints analysis suffer from not considering a hyperspherical topology, that is, a topology where mass is homogeneously distributed since the beginning of times.

Symmetry minimizes the influence of Gravitation on accretion dynamics. In addition, the turn-on size of stars (dimensions for which Gravitational pressure equals fusion energy pressure) and their radius become smaller ( G^{due to stronger gravitation. The mass density remains the same yielding a normal star (just smaller and shorter lived – which we cannot detect since we only see a snapshot of their lives). Thus given that their density is the same, the metal synthesis shouldn’t be affected. Smaller stars might be compensated by a larger number of them.  Star Size variability might increase by the influence of stronger gravitation on the acretion process.

Pulsar timing experiments might not be sensitive if the average pulsar mass also changed with epoch as one would expect of stars in general.

Solar-system tests (e.g., Lunar distance), stellar evolution, and so forth.

Answer: You are perfectly correct in considering that a distance in principle could detect travel through a 4D dimension. The caveat is that line of sight travel would bring the light to where we are but at an earlier time. This can only be understood if you consider that despite the fact that an hypersphere can be locally approximated as a hyperplane, that is not perfect. As soon as you add curvature (or distance), the traversed space differs from sqrt(2) times the distance to the mirror (see figure below).

Currently unrated