New Mathematical Model Links Negatively Curved Space-Time and Flat Space-Time

New Model Links Space Time Theories

This image shows a ‘black string’ black hole phenomenon with perturbation. Credit: University of Southampton

A newly published study uses a new mathematical model to link space-time theories, making connections between negatively curved space-time and flat space-time.

Researchers at the University of Southampton have taken a significant step in a project to unravel the secrets of the structure of our Universe.

Professor Kostas Skenderis, Chair in Mathematical Physics at the University, comments: “One of the main recent advances in theoretical physics is the holographic principle. According to this idea, our Universe may be thought of as a hologram and we would like to understand how to formulate the laws of physics for such a holographic Universe.”

A new paper released by Professor Skenderis and Dr. Marco Caldarelli from the University of Southampton, Dr. Joan Camps from the University of Cambridge, and Dr Blaise Goutéraux from the Nordic Institute for Theoretical Physics, Sweden published in the Rapid Communication section of Physical Review D, makes connections between negatively curved space-time and flat space-time.

Space-time is usually understood to describe space existing in three dimensions, with time playing the role of a fourth dimension and all four coming together to form a continuum, or a state in which the four elements can’t be distinguished from each other.

Flat space-time and negative space-time describe an environment in which the Universe is non-compact, with space extending infinitely, forever in time, in any direction. The gravitational forces, such as the ones produced by a star, are best described by flat-space time. Negatively curved space-time describes a Universe filled with negative vacuum energy. The mathematics of holography is best understood for negatively curved space-times.

Professor Skenderis has developed a mathematic model which finds striking similarities between flat space-time and negatively curved space-time, with the latter however formulated in a negative number of dimensions, beyond our realm of physical perception.

He comments: “According to holography, at a fundamental level the universe has one less dimension than we perceive in everyday life and is governed by laws similar to electromagnetism. The idea is similar to that of ordinary holograms where a three-dimensional image is encoded in a two-dimensional surface, such as in the hologram on a credit card, but now it is the entire Universe that is encoded in such a fashion.

“Our research is ongoing, and we hope to find more connections between flat space-time, negatively curved space-time, and holography. Traditional theories about how the Universe operates go some way individually to describing its very nature, but each falls short in different areas. It is our ultimate goal to find a new combined understanding of the Universe, which works across the board.”

The paper AdS/Ricci-flat correspondence and the Gregory-Laflamme instability specifically explains what is known as the Gregory Laflamme instability, where certain types of black holes break up into smaller black holes when disturbed – rather like a thin stream of water breaking into little droplets when you touch it with your finger. This black hole phenomenon has previously been shown to exist through computer simulations and this work provides a deeper theoretical explanation.

In October 2012, Professor Skenderis was named among 20 other prominent scientists around the world to receive an award from the New Frontiers in Astronomy and Cosmology international grant competition. He received $175,000 to explore the question, ‘Was there a beginning of time and space?’’.

Reference: “AdS/Ricci-flat correspondence and the Gregory-Laflamme instability” by Marco M. Caldarelli, Joan Camps, Blaise Goutéraux and Kostas Skenderis, 19 March 2013, Physical Review D.
DOI: 10.1103/PhysRevD.87.061502


1 Comment on "New Mathematical Model Links Negatively Curved Space-Time and Flat Space-Time"

  1. Hello
    The subject of “negative space-time” interest me a lot : thank you for this description.

    My name is Jean Armiroli: I am an Engineer and I have an interest in astrophysics, cosmology, far-away travel in space and for a lot of things.
    Today there are many unresolved constraints to be able to make far-away journeys in space: the Technology to go fast (at a speed close to the light speed) does not exist yet, if we go far and slowly we will not be able to see our Earth again and therefore it would be a travel without return to Earth, how to resist the space hostile environment if we go far-away?, if the trip lasts very long it would be the descendants of our descendants who would arrive on the distant planet and they may not have known the Earth and would be completely disoriented when they will arrive. And if we get to a relativistic speed (close to the light speed) how to resist to the acceleration?, How to stop too?, If we go very far-away and with a relativistic speed the time spent inside the spacecraft would be very small but very large seen from the Earth and so when we come back to Earth the people would have aged a lot compared to the people who made the trip inside the spacecraft or if we go very far-away our Earth could no longer exist at our return.
    All these points seem impossible to be solved. And yet I have imagined a Theory that explains how all these problems could be solved.
    I wrote a book to share this fiction with you, …
    You can find the book on the following link:

    What I would like first is to have a feedback from scientists like all of you
    Thank you in advance for all your answers, feedback & remarks…

    Best regards

    Jean Armiroli

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