Preprint Article Version 9 Preserved in Portico This version is not peer-reviewed

Th Hyperboloidal Universe

Version 1 : Received: 18 January 2022 / Approved: 20 January 2022 / Online: 20 January 2022 (11:11:44 CET)
Version 2 : Received: 28 January 2022 / Approved: 31 January 2022 / Online: 31 January 2022 (12:56:14 CET)
Version 3 : Received: 16 March 2022 / Approved: 17 March 2022 / Online: 17 March 2022 (10:54:26 CET)
Version 4 : Received: 20 March 2022 / Approved: 21 March 2022 / Online: 21 March 2022 (08:59:59 CET)
Version 5 : Received: 1 May 2022 / Approved: 4 May 2022 / Online: 4 May 2022 (12:51:42 CEST)
Version 6 : Received: 15 May 2022 / Approved: 16 May 2022 / Online: 16 May 2022 (12:17:54 CEST)
Version 7 : Received: 20 May 2022 / Approved: 23 May 2022 / Online: 23 May 2022 (10:35:10 CEST)
Version 8 : Received: 30 May 2022 / Approved: 31 May 2022 / Online: 31 May 2022 (09:11:40 CEST)
Version 9 : Received: 18 July 2022 / Approved: 19 July 2022 / Online: 19 July 2022 (10:32:16 CEST)
Version 10 : Received: 30 August 2022 / Approved: 31 August 2022 / Online: 31 August 2022 (14:35:15 CEST)
Version 11 : Received: 28 September 2022 / Approved: 29 September 2022 / Online: 29 September 2022 (10:04:38 CEST)
Version 12 : Received: 20 October 2022 / Approved: 21 October 2022 / Online: 21 October 2022 (11:18:22 CEST)
Version 13 : Received: 29 December 2022 / Approved: 4 January 2023 / Online: 4 January 2023 (12:00:14 CET)
Version 14 : Received: 7 January 2023 / Approved: 9 January 2023 / Online: 9 January 2023 (11:01:51 CET)
Version 15 : Received: 12 February 2023 / Approved: 13 February 2023 / Online: 13 February 2023 (16:12:56 CET)
Version 16 : Received: 10 March 2023 / Approved: 13 March 2023 / Online: 13 March 2023 (09:47:07 CET)
Version 17 : Received: 21 July 2023 / Approved: 21 July 2023 / Online: 24 July 2023 (08:08:52 CEST)
Version 18 : Received: 17 March 2024 / Approved: 19 March 2024 / Online: 19 March 2024 (12:58:11 CET)

How to cite: Laforet, C. Th Hyperboloidal Universe. Preprints 2022, 2022010301. https://doi.org/10.20944/preprints202201.0301.v9 Laforet, C. Th Hyperboloidal Universe. Preprints 2022, 2022010301. https://doi.org/10.20944/preprints202201.0301.v9

Abstract

This paper proposes a relativistic model of the Universe in which the geometry describes a 4D version of the 2-sheeted hyperboloid that is isotropic, homogeneous in space at a given time and inhomogeneous in time. The radius of this metric is temporal as opposed to spatial. It predicts both a Universe and Anti-Universe moving in opposite directions of time undergoing an expansion phase, followed by a collapsing phase. Using only the current age of the Universe and transition redshift, it predicts the accelerated expansion and it is shown that its Hubble diagram fits currently available supernova and quasar data as well as predicting a Hubble constant $H_0\approx71.6km/s/Mpc$. The angular term of the metric describes time dilation caused by the relativistic kinematic precession effect known as Thomas Precession which can be interpreted as spin about the time dimension. The model also makes two novel predictions: that the early Universe should have structures older than expected due to an increased amount of proper time relative to coordinate time in that era and that the background Universe should appear brighter than current models predict.

Keywords

Cosmology; Black holes; Dark Energy; Schwarzschild metric

Subject

Physical Sciences, Astronomy and Astrophysics

Comments (1)

Comment 1
Received: 19 July 2022
Commenter: Christopher Laforet
Commenter's Conflict of Interests: Author
Comment: - Added equations showing how the Kruskal coordinates describe the 2-sheeted hyperboloidal geometry of the internal Schwarzschild metric
- Removed section on Quantum spin
- Small error corrections and equation format changes
+ Respond to this comment

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 1
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.