at the near-infrared limit the symmetry of the current universe is recovered...
Apresentação da Liga e Espaço-tempo Não Comutativo (Geovane Naysinger)
https://www.youtube.com/watch?v=7ifRAbeYTis
noncommutative deformations of algebraic spaces can drive wave functions to produce the exponential acceleration (inflation) of the Universe.... we have presented a novel framework for understanding the accelerating expansion of the Universe based on noncommutative quantum gravity. This model provides a unified explanation for both early inflation and late-time acceleration without the need for fine-tuning. By introducing noncommutative deformations to the conventional Poisson algebra, we have shown that the Universe’s wave function and scale factor can evolve in ways that align with observed acceleration
The accelerating universe in a noncommutative analytically continued foliated quantum gravity
the noncommutative algebra induces late-time accelerated growth of the wave function, the Universe’s scale factor, and its complementary quantum counterpart, offering a new perspective on explaining the accelerating cosmic expansion rate and the inflationary period. In contrast to the inflationary model, where inflation requires a remarkably fine-tuned set of initial conditions in a patch of the Universe, analytically continued non-commutative foliated quantum gravity captures short and long scales, driving the evolutionary dynamics of the Universe through a reconfiguration of the primordial cosmic content of matter and energy. This reconfiguration is encapsulated into a quantum field potential, which leads to the generation of relic gravitational waves, a topic for future investigation.
Our model provides an alternative to inflationary theories by explaining cosmic acceleration through a fundamental restructuring of spacetime geometry rather than relying on specific initial conditions.
: the noncommutative geometry of spacetime itself. This quantum modification leads to a late-time accelerated growth of the cosmic scale factor, offering a compelling alternative to dark energy and other external driving forces.
When we examine the plots of the configuration of matter and energy in the early Universe (see (49) and (51)), we may identify noncommutative imprints of the spacetime structure implying non-symmetrical redistribution of matter and energy which captures, in our conception, the short- and long-range spacetime scales. Moreover, the transition region between the two universes could serve as a source of matter/particles and energy, which drives the acceleration of the Universe.
due to the application of an ‘external’ torque. In the noncommutative formulation, this symmetry is broken, indicating a mixture of intensities or amplitudes of the potential . The potential simulates the presence of different compositions of matter in the primordial Universe that imply structural modifications of the spacetime structure, shaping this way its curvature that depends locally on the amount and distribution of matter or, equivalently, energy. This symmetry breaking reveals the potentiality of a noncommutative formulation in terms of its implications in affecting not only the curvature of space-time, but furthermore, the capture of short and long scales, boosting the evolution dynamics of the wave function of the Universe
This suggests that the accelerated expansion of our Universe may be the result of a folded memory shared by both universes. This concept implies that spacetime possesses a fold-memory (or twist-memory or torsion-memory), which, when subjected to a twist in the mirrored counterpart and subsequently regulated and shaped by this fold-memory, spontaneously unfolds in response to ‘external’ stimuli. This unfolding process propels the acceleration of our Universe’s expansion.
A key insight from this formulation is that the introduction of noncommutative geometry creates a natural asymmetry in the early Universe, potentially explaining both the inflationary phase and late-time acceleration without requiring separate mechanisms. The evolution of the dual spaces, and , reveals a topological twist in the spacetime fabric, which drives this expansion.
the noncommutative symplectic algebraic formulation gives a mechanism to end inflation and also permits that a non accelerating Universe after a period of time can start a reacceleration period. This is because the noncommutative symplectic algebraic formulation induces the capture of short and long spatiotemporal scales, driving not only the evolutionary dynamics of the Universe’s wave function and the cosmic scale factor but also a reconfiguration of matter on small and intermediate scales,
https://onlinelibrary.wiley.com/doi/abs/10.1002/asna.20230162
https://www.mdpi.com/2218-1997/11/6/179
By altering the fundamental scales of spacetime, the non-commutative structure affects the gravitational field, matter fields, and new stable quantum states could emerge, expanding the spectrum of new dark matter candidates, an arena where nonlocal interactions could generate dark matter condensates, or even reduce or eliminate the requirements for dark matter. In terms of its effects on current models in the literature, its implications would be palpable in models based on modified Newtonian dynamics, running gravitational constants, or effective dark matter profiles, whose resulting effects could originate from noncommutative corrections to gravity. Furthermore, the implications of the non-commutative structure of spacetime in affecting the dynamics of galaxies would have implications for important structural elements such as dark matter halo structures and lensing anomalies in the CBM power spectra due to quantum gravity corrections, among others. However, more concrete predictions require a fully developed theory that might provide future insight.
It gives rise to a source term in the background fluid
continuity equation, thereby leading to an apparent type of matter creation picture through the
resulting non-conservation. Remarkably, the resulting Hubble function accounts for the observed
accelerated expansion of the universe without invoking any external dark energy component or
cosmological constant.
https://arxiv.org/pdf/2503.17878
Branch-cut cosmology, alternatively,
proposes an absolutely non-temporal beginning in the
imaginary sector, a configuration of pure space, through
a Wick rotation that replaces the imaginary component
of time with the temperature, the thermal time, that
flows in the opposite direction of the arrow of time in the
expansion phases of the first and second scenarios. In the
first scenario, in the contraction phase, before entering
into the expansion phase, the temperature and entropy
of the branch-cut universe must reach values consistent
with the corresponding ones in the expansion phase. For
this to happen, the temperature of the universe in the
contraction phase must increase, but the entropy must
decrease, as determined by thermodynamics, reversing
this way the arrow of time. In the contraction sector of
the first scenario, as the transition region approaches,
there occurs a progressive decrease in the entropy and
an increase in the temperature of the universe, so there
is a critical region, whose dimensions are determined by
the Bekenstein Criterion (de Freitas Pacheco et al., 2023),
where the entropy reaches its minimum value and the
temperature in contra-position its maximum value.
In order to maintain the “past-to-future” global orien-
tation, we propose as a novelty a time arrow oriented
towards the decreasing of entropy in the contraction
sector of the universe, and the conventional concep-
tion in the expansion phase. This proposition would be
valid for both scenarios of the branch-cut cosmology,
as in the first scenario there is a contraction sector fol-
lowed by an expansion phase of the universe, while
in the second scenario all sectors are associated with
the expansion of both, ours and the mirror-universe.
In this conception, the cosmological arrow of time is
determined as the direction in which “time”, from the
macroscopic point of view, flows globally.
https://arxiv.org/pdf/2212.02670
The impossibility of packaging energy and entropy
according to the Bekenstein criterion in a finite size
makes the transition phase of the branch-cut cosmol-
ogy very peculiar, imposing a topological leap between
the two phases or a transition region similar to a
wormhole, with space-time shaping itself topologically
in the format of a helix-shape like around a branch-
point (Zen Vasconcellos et al., 2021a), a topic that needs
further investigation in the future.
