Preprint Article Version 9 Preserved in Portico This version is not peer-reviewed

On Spacetime Duality and Bounce Cosmology of a Dual Universe

Version 1 : Received: 14 May 2020 / Approved: 15 May 2020 / Online: 15 May 2020 (09:49:54 CEST)
Version 2 : Received: 18 May 2020 / Approved: 18 May 2020 / Online: 18 May 2020 (11:37:59 CEST)
Version 3 : Received: 12 June 2020 / Approved: 12 June 2020 / Online: 12 June 2020 (14:30:54 CEST)
Version 4 : Received: 25 August 2020 / Approved: 25 August 2020 / Online: 25 August 2020 (13:50:33 CEST)
Version 5 : Received: 23 September 2020 / Approved: 23 September 2020 / Online: 23 September 2020 (10:41:14 CEST)
Version 6 : Received: 7 October 2020 / Approved: 8 October 2020 / Online: 8 October 2020 (09:43:17 CEST)
Version 7 : Received: 12 October 2020 / Approved: 13 October 2020 / Online: 13 October 2020 (09:38:38 CEST)
Version 8 : Received: 16 December 2020 / Approved: 17 December 2020 / Online: 17 December 2020 (11:45:26 CET)
Version 9 : Received: 29 April 2021 / Approved: 29 April 2021 / Online: 29 April 2021 (09:10:40 CEST)
Version 10 : Received: 21 June 2021 / Approved: 21 June 2021 / Online: 21 June 2021 (11:43:55 CEST)
Version 11 : Received: 28 December 2022 / Approved: 29 December 2022 / Online: 29 December 2022 (11:31:00 CET)

A peer-reviewed article of this Preprint also exists.

Al-Fadhli, M.B. On Spacetime Duality and Bounce Cosmology of a Dual Universe. The 1st Electronic Conference on Universe 2021, doi:10.3390/ecu2021-09291. Al-Fadhli, M.B. On Spacetime Duality and Bounce Cosmology of a Dual Universe. The 1st Electronic Conference on Universe 2021, doi:10.3390/ecu2021-09291.


The recent Planck Legacy release confirmed the existence of an enhanced lensing amplitude in the cosmic microwave background (CMB) power spectra, which endorses the positive curvature of the early Universe with a confidence level exceeding 99%. In this study, the pre-existing curvature is incorporated to extend the field equations where the derived wave function of the Universe is utilized to model Universe evolution with reference to the scale factor of the early Universe and its radius of curvature upon the emission of the CMB. The wave function reveals both positive and negative solutions, implying that matter and antimatter of early Universe plasma evolve in opposite directions as distinct Universe sides. The wave function indicates that a nascent hyperbolic expansion is followed by a first phase of decelerating expansion away from early plasma during the first 10 Gyr, and then, a second phase of accelerating expansion in reverse directions, whereby both Universe sides free-fall towards each other under gravitational acceleration. Simulations of the predicted conformal curvature evolution demonstrate the fast orbital speed of outer stars owing to the external fields exerted on galaxies as they travel through conformally curved space-time. Finally, the wave function predicts an eventual time-reversal phase comprising rapid spatial contraction that culminates in a Big Crunch, signalling a cyclic Universe. These findings reveal that early plasma could have separated and evolved into distinct sides that collectively and geometrically influencing the Universe evolution, physically explanting the effects attributed to dark matter and energy.

Supplementary and Associated Material Conference presentation of the main findings


Accelerated Expansion; Fast orbital speed of outer stars; Duality; Antimatter.


Physical Sciences, Astronomy and Astrophysics

Comments (1)

Comment 1
Received: 29 April 2021
Commenter: Mohammed Al-Fadhli
Commenter's Conflict of Interests: Author
Comment: Dear Editor, 

I hope you are doing very well and I do appreciate your continued support

This version includes full mathematical derivations of the extended field equations and the wave function of the Universe

Lots of thanks

Kind regards,
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