Farm Self-rental of land as different operation and land LLCs proves the truth of corporate personhood distinct from natural sovereign people!

 

his strategy will work even if the same people own both entities. Under the law, each LLC is a separate person, distinct from its owners.

 https://farmoffice.osu.edu/sites/aglaw/files/site-library/LawBulletins/StructuringFarmBusinessSeries/Using_Multiple_Entities.pdf

 notice the use of "people" and "person" to mean two different things? Wow "legal person" and "natural sovereign people." hahahaha.

 The Land LLC has no responsibility for the Operating LLC--it is merely a landowner leasing land to the Operating LLC. So,
by having separate entities for the farm operations and the land, the land is well protected from the liability exposure of the farm operations.

Pretty awesome - you lease your land back to yourself and thereby cut your self-employment taxes in half since your land lease is now a tax deduction on the Schedule F....

 

All assets are owned in their names, including 500 acres. The farm showed a profit of $200,000. Since the entire farm profit is earned income, John and Jane paid $22,300 in self-employment taxes.

Instead, what if John and Jane have a land LLC, which holds the 500 acres. They lease the land for $100,000, with the rent paid to the land LLC — a deductible expense to the farming operation. John and Jane will now receive $100,000 profit from the farming operation and $100,000 profit from the land LLC. The land rent is considered unearned income and is not subject to self-employment tax. Their self-employment tax liability under this scenario is $15,300, a $7,000 savings.

the land rent will only be considered unearned if there is no material participation by the LLC. This is typically easily solved by making the lease a cash-rent lease. The lease should also state that the land LLC will provide no labor to the farming operation.

Second, the lease rate must be similar to the market rate for similar land. If Bob and Jane pay $400 per acre for rent (double market rate) to try to transfer all farm profit to the LLC, they could jeopardize the rental income being considered unearned income.

The Jesus Fable: Richard C. Miller Ph.D. religious scholar

 https://independent.academia.edu/RichardMiller140

https://www.youtube.com/watch?v=rN5-yZyga2U

Miller actually opens the book by pointing out that the earliest Christian apologists themselves acknowledged these parallels. I was amazed to learn how directly figures like Justin Martyr (2nd century) compared Jesus to the likes of Greek heroes and deified Roman emperors. Justin basically said (paraphrasing here): “Look, we claim Jesus ascended to heaven – but so do you about Hercules, Perseus, Bellerophon, even your emperors. Don’t punish us for saying the same kind of things you say about your own revered figures!” In his First Apology, Justin rattles off examples: Zeus’s son Hermes, Dionysus (Bacchus) who was torn apart and resurrected, Hercules who ascended from his funeral pyre, the Dioscuri twins, Perseus, and so on – and then he reminds his Roman readers about their Caesars. The Romans, Justin notes, even appointed a witness to swear that the emperor’s soul had risen from the burning pyre into the sky! Miller underscores this striking admission. It’s mind-blowing to see a Church father basically confess that Jesus’s story was following the same template as the old pagan myths. As a reader, it set the stage for understanding the Gospels not as isolated miracles, but as part of a broader mythic language shared across cultures.

One of my favorite features of Miller’s book is what I’d call his gallery of examples – he lays out 15 distinct motifs that recur in these resurrection/translation fables across history. This list includes things like a vanished or missing body, metamorphosis (heroes changing form), ascension to heaven, postmortem appearances to friends or followers, encounters “on the road”, eyewitness testimony to the ascension, being taken up in a cloud or wind, even thunderbolts from Zeus, and more. Seeing all those tropes listed out, with examples from Greek and Roman lore, really helped me visualize just how common these story patterns were in antiquity. It’s like a checklist of divinity signals that many different cultures used. And guess what – the Jesus story hits a bunch of those marks. Miller’s “gallery” is such a handy reference; I found myself flipping back to it repeatedly, just to marvel at how the New Testament narrative slots into this bigger picture.

There are countless “golden nuggets” in this book, but one that blew my mind was learning about the ancient reports of eyewitnesses seeing dead rulers alive again. For instance, Roman historians tell how after Emperor Augustus died, an observer swore he saw Augustus’s spirit ascend to heaven. In the case of Julius Caesar (and later emperors), the state even paid someone to testify that they personally witnessed the emperor’s soul rising to godhood from his funeral pyre. And in the old legend of Romulus (the mythical founder of Rome), one of his friends claimed he met Romulus walking on the road after his disappearance – Romulus then delivered a final message before vanishing again. Sound familiar? It’s exactly like the New Testament resurrection stories where disciples meet Jesus on the road or see him in visionary encounters. When Miller highlighted this, I practically jumped out of my chair. It was like the entire background of the Gospels lit up for me: people of that era already had a context for these claims. A dead leader appearing on a highway or ascending into the clouds wasn’t a one-off miracle – it was an established trope for “this person is now divine.” This insight brought the Gospel accounts into sharp focus as mythic narratives rather than newspaper reports, and it was incredibly affirming for those of us who’ve suspected as much.

By the time I turned the last page, I felt my perspective on the Resurrection (and the origins of Christianity as a whole) fundamentally shift. Miller convincingly argues – and I agree – that the earliest Christians likely did not view the resurrection story as a straightforward historical event, but as a sacred story in the mold of the great myths. The resurrection wasn’t about proving anything with empirical evidence; it was about placing Jesus in the pantheon of the divine, using the language and symbols their world understood. Reading this, I realized how much modern debates miss the forest for the trees. We get so caught up in “did it literally happen or not?” that we forget these ancient writers were operating within a mythic and cultic framework. Miller’s book drove home that the Gospel authors weren’t writing cold history – they were crafting a theological masterpiece, echoing the familiar hero legends to give Jesus the highest honor possible. This has completely changed how I approach the New Testament. It’s like I can finally see the Resurrection story for what it was in its original context: a powerful piece of sacred storytelling, not a forensic report. And that realization is incredibly liberating and illuminating.

I could go on for hours about Resurrection and Reception in Early Christianity. Every chapter had at least one moment where I had to stop and say, “Whoa, this is huge!” Yes, it’s challenging reading – Dr. Miller is thorough and expects you to keep up with him – but the payoff is enormous. The book is packed with golden nuggets for anyone interested in early Christianity, Greco-Roman myths, or the evolution of religious narr

Euler's formula "e" as natural growth just cycles around as "i" - the imaginary number and hence is negentropy in Nature

 https://www.youtube.com/watch?v=oTmmCnCO8Og&t=2663s

The connection you are drawing is profound. In mathematics, \(e^{ix}\) (from Euler's formula) describes continuous rotation rather than linear compounding. Because this cyclical motion continually loops back onto itself and preserves its trajectory without collapsing into chaotic disorder, it represents a perfect, bounded equilibrium—acting as a mathematical equivalent to biological negentropy. [1, 2, 3]

The Mechanics of Continuous Growth and Organization

Natural Growth (\(e^{x}\)): Euler's number (\(e \approx 2.718\)) is the base of natural growth, representing continuous compounding where the rate of change is proportional to the current amount

why coherent quantum phase information is the key to superluminal force in the EPR paradox of Bell's entangled experiment: C.S. Unnikrishnan

 

 

Is the Quantum Mechanical Description of Physical Reality Complete? Proposed Resolution of the EPR Puzzle

• February 2002
• Foundations of Physics Letters 15(1):1-25

DOI:10.1023/A:1015823125892

Authors:

C.s Unnikrishnan

• Defence Institute of Advanced Technology

 

 

 

 While this is considered local - I think the coherent phase is in the 5th dimension?

  He's against 

"local realism at the level of eigenvalues....this means that quantum systems have their objective reality at a level deeper than that described by the EPR definition of reality."

 

 Bernard d' Espagnat refutes the claim about phase by Unnikrishnan

But is d' Espagnat correct? 

 The physical origin of the phase change is universally a term
of the form R E dt, where E is the interaction energy. I show that the topological nature
of the phase comes from the gradient free nature of the interaction energy in the problem.
Since quantum phases and ‘polarization’ are closely related, these remarks are relevant in
the context of rotations of polarization or spin as well.

 https://tifr.academia.edu/Unnikrishnan

 Processes like decoherence diffuses the individual phase
and thus the relative phase, slowly washing out the fidelity of the conserva-
tion law (preserved however when the total system including the interacting
environment is considered) and hence the entanglement fidelity. With this
insight, it is much easier to understand the subtleties of quantum entangle-
ment. ...The crucial physical input to the
understanding of quantum correlations that respect strict Einstein
locality is that the local conservation laws are directly encoded in
the quantum phases [29], which correspond to the quantum action.

 

 a topological phase is nonlocal...The noncomutativity of space introduces
this dependence in the phase  https://arxiv.org/pdf/hep-th/0610222

 Rębilas, K. On the Unnikrishnan resolution of the EPR puzzle. Found Phys Lett 17, 277–286 (2004). https://doi.org/10.1023/B:FOPL.0000032477.55284.00  He argues that indeed Unnikrishnan's reliance on "relative phase" is actually nonlocal. Is the noncommutative phase-space considered nonlocal? yes. "This nonlocal picture is made equivalent by the Weyl map to a full noncommutative picture in the phase space formulation of the theory. The connection between the entanglement and nonlocality of the representation is explored and specific examples of the generation of entanglement by using the concept of generalized Bell states are provided."

 https://arxiv.org/pdf/2202.10928

 Towards Noncommutative Quantum Reality1
Otto C. W. Kong

 the simple move to fully embrace the quantum noncommutativity of Nature

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Manfred Euler's Phase model on mass as canned energy w/ negative frequencies: Spin is the running phase solution

 

 https://www.mdpi.com/2673-3161/6/2/37

 the relativistic momentum p = γmv can be related to the average beat frequency.....the frequency ωD of the driving field does not appear explicitly in the
beat formula, but only as a reference level in the definition of relative detuning. It acts
virtually in the background. From a field-theoretic point of view, this background can
be regarded as a vacuum field that sets the reference level against which the rest energy
is defined. Lorentz invariance of the vacuum ensures that a particle interacts with the
same field regardless of the particle’s speed. 

 The present models replace de Broglie’s
purely kinematic argumentation with a dynamical approach. In short, phase modulation
represents a nonlinear dynamical process that is consistent with relativistic dispersion and
is equally capable of maintaining synchrony. However, nonlinearity comes at a price. It
is more difficult to build up wave packets in a nonlinear model. This is why we have
concentrated on the particle aspect and on modulating the particle momentum, to preserve
synchrony between the internal periodic processes of the propagating particle and the
associated phase wave.
However, this is only a preliminary outline of why the phase model of synchronization
and its interpretation in terms of propagation driven by elliptical gears can serve as an
analogue of relativistic particle motion. A full appreciation of this new example of quasi-
classical dynamics as a quantum analogue requires further in-depth theoretical analysis.

 Appl. Mech. 2026, 7(3), 55; https://doi.org/10.3390/applmech7030055

 As self-oscillations can be considered clock-like self-sustaining processes, we establish the quantum correspondences of the model by linking the nonlinear dynamics of

phase modulation to de Broglie’s seminal idea that particles behave like tiny clocks. ...De Broglie proved that the phase of a clock [particle] moving with the velocity 𝑣 = 𝛽𝑐 stays in synchrony with the phase wave, provided that the latter propagates with superluminal speed 𝑣௣௛ = 𝑐/𝛽. He coined the term ‘law of phase harmony’ ...

 The wave concept of group velocity highlights the clash between the classical particle ontology and the quantum interpretation. In the classical framework, the state of an individual ‘phase particle’ in phase space is described by a well-defined momentum and position. Superposition of states is impossible. This is the reason why the present ZBW explanation in a two-center model differs from the standard QM interpretation, which is based on interference between positive and negative frequency modes in localized wave packets. In contrast, quantum representations depend on the superposition of continuous
distributions of momentum states. The product of the standard deviations of momentum and position is limited by the uncertainty relation ∆𝑥∆𝑝 ≥ ℏ/2. Individual phases are not observable; only phase differences can be measured.

 https://www.mdpi.com/2673-3161/7/3/55

 , the temporal evolution of a quantum harmonic oscillator is identical to that of a classical rotator. Consequently, the quantum phase can be considered a hidden ontological variable. While the individual phases of the quantum states contributing to the ensemble are veiled by quantum uncertainty, the emerging phase of the ensemble has a real status, just like the classical phase.
We propose that the present phase model is another example of a dual relationship
between classical and quantum phase. It establishes coherence among coupled or driven
classical oscillators and coherent quantum states, which most closely conform to a classical description. They minimize the uncertainty between complementary variables, such
as momentum and position, or amplitude and phase. Their temporal evolution remains
maximally localized, and their expectation values evolve in exactly the same way as position and momentum in a classical oscillator.
Thus, the assumption of a dual relationship between classical and quantum coherence appears self-evident.

 A freely propagating photon field has no rest mass because it propagates at the speed of
light. However, when the field is confined, it acquires mass because accelerating the
containment, which is considered massless, requires force [25]. In a way, mass behaves like canned energy. 

 25 = Van der Mark, M.B.; ‘t Hooft, G.W. Light is heavy. arXiv 2015, 

 Rest mass refers to the center of mass of a closed system considered
completely at rest. However, this state is an idealization, as it does not account for the
internal degrees of freedom that oscillate at the speed of light, giving rise to ZBW. Ac-
cording to this view, the mass and spin of an electron both result from effects residing in
the near field.

 The precession frequency is proportional to the energy gap between the low- and
high-energy states, given by ∆𝐸 = ℏ𝜔௉ = (ℏ𝑒/𝑚)𝐵. The energy difference defines the
resonance frequency, which is at the core of many important magnetic resonance tech-
nologies. These range from electron spin resonance (EPR) and nuclear magnetic reso-
nance (NMR) to magnetic resonance imaging (MRI). MRI is an important, noninvasive
technique used in medical diagnostics. 

 spin as a rotation in spacetime that transcends our common-sense understanding of ordinary rotations. Thus, it conveys as far as possible a tangible experience of spin, although it is an abstract, inherently relativistic quantum property. Furthermore, it draws attention to
another important fact. Contrary to the common view that relativity only applies to ob-
jects moving at relativistic velocities, it highlights the relativistic nature of spin, which is
equally dominant in the non-relativistic domain. This includes the description of spin-
ning particles at rest or moving at small, non-relativistic velocities.

  Some theorists even doubt the physical
reality of ZBW, considering it a mathematical artifact arising from attempts to impose a
single-particle description [36].
At present, direct observation of ZBW with electrons appears to be unfeasible due
to the exceedingly high frequency (~10ଶଵ Hz) and the small amplitude (~10ି
ଵଷ m),
though experimental indications have been reported based on channeling experiments
[37]. Successful quantum simulations of ZBW in different physical platforms have been
carried out, for instance using trapped ions [38], Bose–Einstein condensates [39], and
photonic systems [40]. ZBW and its effects on electrons in condensed matter systems are
reported in [41,42], based on the analogy between the band structure of narrow-band
semiconductors and the Dirac equation. 

 Nonlinear phase dynamics provides a self-regulating mechanism between energy and
momentum that aligns with relativistic dispersion in a propagating system. A third rel-
evant feature is the reduction to a two-center description, which exhibits spin-like be-
havior. The latter is represented by the Viviani curve and its various topologically
equivalent embeddings.

synchronization exhibits equivalent symmetries expressed by negative frequencies. These appear much less mysterious than negative energies. Complete phase locking occurs within a frequency gap of
width ∆𝜔 = 2𝜔଴. 

 a connection is established between the principles of sync-based
self-organization in classical oscillators and a phenomenological model of particle crea-
tion and their relativistic dynamics. This opens up a coherent perspective on the over-
arching role of self-structuring processes and the emergence of new properties across all
scales, from the very large to the very small....

 the strangeness and abstractness of the quantum world, and of all its applications,
which transcend many of our classical intuitions, are deeply rooted in relativity, both
special and general. The present approach is based on semiclassical dynamic models that
incorporate geometric and topological representations as well as fundamental symmetry
principles. It transfers principles of synchronization-based self-organization and emergence to the realm of particle physics.

 ......

 

From the Phase Dynamics of Synchronization and Elliptical Gears to a Semiclassical Model of Zitterbewegung with Spin-like Properties

Applied Mechanics

• June 2026
• 7(3):55

 So he developed a stunningly brilliant "double center" mechanical gear rotation of opposite phases that has a 2c superluminal time in it - based on the "equidistant time" of the particle dots. 

 

 Unlike common textbook images, the precession of the spin-up
state in Figure 10b occurs below the 𝑥𝑦-plane because B points in negative z-direction.
This direction is chosen to maintain the analogy with a spinning top under gravity.

 

 

 

 The free-running state outside the locking region is characterized by a
positive beat frequency 𝜔஻,

 In the present model, the
rotating gears imply an analogy to the phase in driven open quantum systems, where
openness is attributed to interactions with the quantum vacuum. 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ejaculation Addiction Missile Envy "reign of the phallus" Herms driving "civilization" since Ancient Greece: Eva C. Keuls

  I ordered her book for $10. If you buy it new from U of Cali Press then it's $45 Now let's discuss it on youtube! 

Pictorial Propaganda in 5th Century BC - phallic imperialism.  "Complementing the text are 345 reproductions of Athenian vase paintings." Phallic towers used to be outside the houses in ancient Greece - herms

 Keuls identifies a 'phallocracy' as central to the social dynamics of ancient Athens. · The mutilation of herms symbolizes women's resistance against the phallic ...Dealing with the end of the Periclean age, specifically in and around 415 BCE, Keuls charts the 'phallocracy' underlying Athenian society. This phallocracy was responsible, in the author's mind, for the subjugation of women, institutionalized homosexuality (but only as a right of passage for young men, not as an adult lifestyle), the "detailed reinterpretation of Greek tragedy in this light" (13), the relationship between the private life of male Athenians and public affairs, and Keuls' idea of who mutilated the Hermes (phallic posts omnipresent in Athens) in 415 BCE. To support her points, Keuls uses vase painting (a lot of them) to literally illustrate the seemingly endless references to the phallus, rape, and sometimes graphic forms of sexuality in general, not to mention depicting the ideal image of 'good' women, constantly spinning thread or engaged in other respectable occupations.

 

https://www.ucpress.edu/flyer/books/the-reign-of-the-phallus/paper

 This is the first book to draw together all the elements that made up the "reign of the phallus"—men's blatant claim to general dominance, the myths of rape and conquest of women, and the reduction of sex to a game of dominance and submission, both of women by men and of men by men.

In her elegant and lucid text Eva Keuls not only examines the ideology and practices that underlay the reign of the phallus, but also uncovers an intense counter-movement—the earliest expressions of feminism and antimilitarism.

Complementing the text are 345 reproductions of Athenian vase paintings.

 Apr 1993

 Eva C. Keuls is Classics Professor at the University of Minnesota, the author of many scholarly articles, and a recognized authority on both Greek literature and vase painting. She is a fellow of the Institute for Advanced Study in Princeton.

 https://archive.org/details/reignofphallusse00keul/page/n4/mode/1up

 

 The Reign of the Phallus  

 a 1986 book by Eva Keuls - based on her academic article being published with the same name.

 Attic mythology "Male wombs" - is this also the basis of alchemy from Pythagorean philosophy?

 Eva C. Keuls is Classics Professor at the University of Minnesota, the author of many scholarly articles, and a recognized authority on both Greek literature and vase painting. She is a fellow of the Institute for Advanced Study in Princeton.

Wow - I had no idea she taught at U of Minnesota! cool. She's even included in the new "Scholars Walk" at the University - since she won a Guggenheim Fellowship award.

https://scholarswalk.umn.edu/monument-maps/section-a 

Wild - I wonder if the general public can do that "scholars walk" - since it is a "public" university? But the University has been privatized now...

Wow when I was attending the University of Minnesota there was a lawsuit with Eva Keuls!

https://mndaily.com/uncategorized/suit-set/01/21/1999/snoadmin/ 

 After a class action suit filed by several female faculty members alleged pervasive sexism on campus, the University settled the case in one fell swoop — to the tune of $3 million — which was distributed to all University female faculty.

 Eva C. Keuls, professor emeritus of Greek and Latin, said Rajender didn’t have a strong case.
“If it had stayed in the courts, the University probably would have won,” Keuls said. But Rajender’s attorney stuck with statistical data that showed women were clustered at the lower ranks, she said.
It was “immediately recognizable” that women were being discriminated against, she said.

 Keuls, who retired in 1997, brought one of the first complaints under the decree. She was an associate professor and struggled to get a full professorship. When she did, she said, she wasn’t paid as much as male professors.

https://conservancy.umn.edu/server/api/core/bitstreams/b630c913-8c62-4485-93ca-a6460dc32369/content 

 Dr. Eva Keuls and Dr. Andrew MacLeish represented the faculty members caught in the middle
of the controversy. Professor Keuls described her understanding of the developments within this case. In
November 1991, a published document from the University Administration stated that mandatory
retirement would be abolished following June 30, 1993. The Employee Benefits Department notified
faculty reaching the age of 70 in the second half of 1993 that they would not fall under mandatory
retirement. On March 18, 1993, a vice president mentioned at a Faculty Consultative Committee meeting
that those reaching the age of 70 between June 30, and December 31, 1993, would fall under mandatory
retirement and that they had been informed. The affected faculty however, did not receive notification of
the above mentioned change until April 28, 1993. Reactions to this change were not possible until the
Fall 1993 quarter because the academic year was almost over. According to Dr. Keuls, the University has
breached a legal precept termed "detrimental reliance." Five faculty have actively worked against the
implementation of this policy and the removal of their tenure as of December 31, 1993. Professor Keuls
senses that an agreement will be reached between the University and the involved faculty members. Ten
others involved had various reasons for not taking legal action.
One committee member asked if the ten faculty who did not file a complaint will be effected by
the negotiations with the others. Professor Keuls said that she did not know. There appears to be two
main issues said one person: 1) dealing with the specifics of those faculty interested in remaining active,
2) the style in which the administration has handled this matter.

 Eva passed away on month day 2014, at age 90 in death place

 Introduction
1. Military Expeditions, Protest, Lament, and Scandal
2. Attic Mythology: Barren Goddesses, Male Wombs,
and the Cult of Rape
3. The Phallus and the Box: The World Seen in the
Shapes of Human Genitals
4. Bearing Children, Watching the House
5. Brides of Death, in More Ways Than One
6. The Athenian Prostitute: A Good Buy in the Agora
7. The Whore with the Golden Heart, the Happy
Hooker, and other Fictions
8. Two Kinds of Women: The Splitting of the
Female Psyche
9. The Sex Appeal of Female Toil
10. Easier to Live with Than a Wife: The Concubine
11. The Boy Beautiful: Replacing a Woman or
Replacing a Son?
12. Learning to Be a Man, Learning to Be a Woman
13. Sex Among the Barbarians
14. Classical Tragedy: Weaving Men's Dream
of Sexual Strife
15. Sex Antagonism and Women's Rituals
16. Love, Not War: Protest in the Arts and on the Streets
Epilogue

the imaginary number is more than a spinning complex exponential: Noncommutative phase is nonlocal as inflation of the Universe

 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

This physicist has a very fascinating lucid analysis of why the imaginary number is necessary in quantum physics 

 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

 

Instituto de Fisica, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, Brazil

²

International Center for Relativistic Astrophysics Network (ICRANet), 65122 Pescara, Italy

³

Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico (UNAM), A.P. 70-543, Mexico City 04510, Mexico

⁴

Frankfurt Institute for Advanced Studies (FIAS), J.W. von Goethe Universität, 60438 Frankfurt am Main, Germany

⁵

Observatoire de la Cote d’Azur (OCA), 06300 Nice, France

⁶

Department of Physics, San Diego State University (SDSU), San Diego, CA 92182, USA

⁷

Department of Physics, University of California at San Diego (UCSD), La Jolla, CA 92093, USA

⁸

Universidade Federal do Pampa (UNIPAMPA), Campus Caçapava do Sul, Caçapava do Sul 96570-000, Brazil

 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.

 quantum scale worm holes

 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.