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Overlooked branch of f(T) gravity makes dark energy negative until about 9.5 billion years ago

Istanbul Technical University physicists found a branch of f(T) gravity where effective dark energy was negative until about 9.5 billion years ago. It offers a candidate mechanism for the sign-switching dark energy that earlier analyses found consistent with DESI data.

The Scientist · Science desk

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Illustration accompanying Overlooked branch of f(T) gravity makes dark energy negative until about 9.5 billion years ago
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An f(T) branch flips dark energy's sign Where the overlooked f(T) branch's dark energy density crossed zero, how many evolutions today's matter allows, and the model's parameter count.

Key figures: on the overlooked f(T) branch, dark energy density crossed zero at around redshift 1.5; the same amount of matter today could lead to two cosmic evolutions; the model has six cosmological parameters, the same number as standard Lambda-CDM.

An f(T) branch flips dark energy's sign
FigureValueNoteClaim
Redshift where dark energy density crossed zero, around1.5 redshift7
Paths, same matter today2 evolutions6
Parameters, like Lambda-CDM6 parameters8

What happened

  • The paper appeared in Physical Review D in 2025, led by Özgür Akarsu of ITU, and deliberately explored a region of the theory that earlier studies had set aside.
  • The theory is teleparallel f(T) gravity, which builds on torsion where general relativity uses spacetime curvature.
  • From the same amount of matter today, the equations allow two cosmic evolutions, and one of them aligns closely with the standard cosmological model.
  • The value that selects the branch depends on the current matter density, so the model keeps the six cosmological parameters of standard Lambda-CDM.
  • The paper shows the branch can stay consistent with precise solar system tests because its deviations from Einstein's theory are suppressed in dense environments.

Why it matters

  • constraint The DESI link is indirect. Consistency with DESI was shown for the earlier sign-switching model, so the f(T) branch is a candidate mechanism until someone fits it to the data.
  • capability With the same six parameters as Lambda-CDM, a direct comparison between the two would not depend on the new model having more freedom to tune, which is a clean test in our view.
  • decision Anyone fitting the exponential f(T) model to cosmological data now has two branches to test for the same present-day matter density, where earlier studies followed one.

The branch stayed unexplored because of an assumption. Earlier studies of the exponential version of the theory followed a single mathematical path, guided by the expectation, inherited from general relativity, that dark energy density must always be positive [5]. Akarsu and colleagues relaxed that restriction and examined the branch that had been left aside [5].

The observational side belongs to DESI, which is building the largest three-dimensional map of the universe. Its data suggest that dark energy's effect might have evolved [1]. According to the phys.org account, that is not conclusive enough to declare a discovery [2].

The match with DESI data belongs to an earlier scenario from the same group, the sign-switching Lambda-CDM model, in which the cosmological constant flips sign, going from negative to positive, a few billion years after the big bang [11]. Later work on that scenario found the sign-changing density consistent with DESI data and able to ease several long-standing tensions, including the Hubble tension [12]. What had been missing was a physical mechanism that would make the switch happen naturally, and many groups in the field are now looking for one [13].

The f(T) branch has the same pattern, negative early and positive later [10]. The thing this doesn't tell you is whether its expansion history is close enough to the sign-switching model's, in detail, to inherit that consistency with DESI.

What to watch

  • A direct fit of the f(T) sign-switching branch to DESI data, scored against Lambda-CDM at equal parameter count.
  • Whether DESI's evolving dark energy hints firm up enough to be called a discovery, since the whole line of work rests on them.
  • Whether the f(T) branch eases the Hubble tension the way analyses of the earlier sign-switching model did.

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  1. [1]

    DESI, the Dark Energy Spectroscopic Instrument, is creating the largest three-dimensional map of the universe, and its data suggest that dark energy's effect might have evolved over time.

    ReportedSupportedView cited source
  2. [2]

    The DESI hints are not conclusive enough to declare a discovery.

    ReportedSupportedSource: phys.org account of the ITU workView cited source
  3. [3]

    In a 2025 paper in Physical Review D, an international team led by professor Özgür Akarsu of Istanbul Technical University's Department of Physics examined an alternative theory of gravity, deliberately exploring a region of the theory that earlier studies had set aside.

    ReportedSupportedView cited source

Sources

1 independent publisher whose own reporting we read for this story.

  1. phys.org

    1 article · October 12, 2026

    Alternative gravity theory offers possible explanation for dark energy changing over time

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