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The Concept of Dark Energy is not Based on the Principles of Physics: Cosmological Data Can be clearly Explained Without this Concept

This paper argues that cosmological acceleration can be explained using established physics without invoking the mysterious concept of dark energy, and it aims to present the authors' technical derivation in an accessible manner to the broader scientific community.

Original authors: Felix M Lev

Published 2026-05-20

📖 5 min read🧠 Deep dive

CC BY 4.0

Original authors: Felix M Lev

Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). ✨ This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

The Big Idea: The Universe Isn't Pushed by a "Ghost," It's Just Stretching

Imagine you are watching a group of people standing very far apart in a giant, empty field. In our daily experience, if you let go of a ball, it stays still or rolls at a constant speed unless something pushes it.

However, in 1998, astronomers discovered something strange: galaxies (which are like those people) are moving away from each other faster and faster. They are accelerating.

The mainstream scientific community said, "Okay, there must be a mysterious invisible force pushing them apart. Let's call it Dark Energy." They treat this force like a new kind of fuel or a ghost that fills the universe.

Felix Lev says: "Stop. You don't need a ghost."

He argues that this acceleration isn't caused by a mysterious new force. Instead, it is a natural, unavoidable result of how the universe works at the most fundamental level (Quantum Mechanics), even when we look at it through the lens of everyday physics.

The Problem with the Current View

Lev compares the current scientific approach to a mechanic who hears a strange noise in a car.

The Standard Approach: The mechanic immediately assumes the engine needs a new, expensive, mysterious part (Dark Energy) because they haven't checked the basics thoroughly.
Lev's Approach: He says, "Wait, we haven't even checked if the wheels are just naturally rolling differently because of the road's shape." He believes physicists skipped the step of checking if existing laws (Quantum Theory) could explain the noise before inventing a new "exotic" part.

The "Background" Trap

Lev makes a crucial point about how we imagine space.

The Old Way: Physicists often imagine the universe as a giant, invisible stage (background space) where actors (matter) perform. They ask, "Is the stage flat or curved?" They decided the stage must be perfectly flat unless something bends it.
Lev's View: He says the "stage" is a fiction. In the real quantum world, there is no empty stage. There are only the actors and their relationships. Asking if "empty space" is curved is like asking if a theater is empty when there are no actors to measure it. It's a question that doesn't make sense.

The "Zoom Lens" Analogy: How We See the World

Lev uses a concept called Symmetry to explain why we get different results depending on how we look at things. Think of it like a camera lens with different zoom settings:

The Wide Shot (Quantum Theory): This is the most general, high-definition view. It sees everything clearly. In this view, the universe has a specific "shape" or rule set (called de Sitter symmetry) that naturally causes things to move apart.
The Zoomed-In Shot (Classical Physics/General Relativity): This is a simplified view we use for big things like planets. It's like looking at a photo through a blurry filter. When you zoom in too much, you lose the details of the "shape" of the universe. You only see the flat, boring version.

The Mistake: Physicists have been looking at the universe through the "Zoomed-In" (Classical) lens and getting confused. They see the galaxies accelerating and think, "Something is pushing them!" because they forgot to look at the "Wide Shot" (Quantum) view where this acceleration is just a natural rule.

The "Ruler" Analogy: Why the Numbers Look Weird

The paper mentions a number called $R$ (which is huge, about the size of the observable universe).

The Standard View: Scientists think $R$ is the "radius of the universe" and that its value is a mystery we need to solve.
Lev's View: He says $R$ $R$ is just like the speed of light ( $c$ $c$ ) or Planck's constant ( $\hbar$ $ℏ$ ). These numbers aren't "deep secrets" of nature; they are just units of measurement we invented because we want to measure things in meters and seconds.
- Analogy: If you measure a road in miles, it's 10 miles long. If you measure it in kilometers, it's 16 km. The road didn't change; only the ruler changed. Lev argues that $R$ is just a "ruler" that appears when we translate the complex quantum rules into our everyday language. It's not a mysterious force; it's just a conversion factor.

The Solution: It's Just Math, Not Magic

Lev does the math using the "Wide Shot" (Quantum Theory) but simplifies it for big objects (Semiclassical approximation).

When he runs the numbers, he finds that if you have two objects far apart, the rules of Quantum Mechanics automatically make them push away from each other.
The formula he gets ( $a = rc^2/R^2$ ) is exactly the same as the one astronomers observe.
The Result: The universe isn't being pushed by "Dark Energy." The acceleration is simply what happens when you apply the most fundamental laws of physics to objects that are very far apart.

The Conclusion

Lev's paper claims that Cosmological Acceleration is not a mystery.

It is not caused by a new, invisible energy.
It is not a sign that our current physics is broken.
It is a kinematic consequence (a natural motion result) of Quantum Theory.

He argues that by realizing the universe doesn't need a "background stage" and by using the correct "zoom level" (Quantum Symmetry), we can explain the accelerating universe without needing to invent any exotic, mysterious concepts. The universe is just behaving exactly as the deepest laws of physics predict it should.

Technical Summary: The Concept of Dark Energy is Not Based on the Principles of Physics

Problem Statement
The paper addresses the phenomenon of cosmological acceleration, where macroscopic bodies at large distances exhibit a relative repulsive acceleration given by $a = rc^2/R^2$ (where $r$ is the relative radius vector and $R \approx 10^{26}$ m). While the mainstream physics community attributes this to "dark energy" or a non-zero cosmological constant ( $\Lambda$ ) within the framework of General Relativity (GR), the author argues that this approach violates fundamental physical principles. Specifically, the standard approach introduces exotic concepts with undefined physical meanings without first exhausting explanations based on existing science. The author posits that the assumption of a flat background space ( $\Lambda=0$ ) in GR is an unjustified prejudice and that the curvature of empty space is a concept lacking physical meaning in the absence of measurable background coordinates.

Methodology
The author proposes a shift from classical General Relativity to a quantum theory in the semiclassical approximation. The methodology relies on the following theoretical framework:

Hierarchy of Theories: The paper establishes a criterion for theoretical generality: a theory $A$ is more general than $B$ if $B$ is obtained from $A$ via a formal limit (contraction) of a parameter (e.g., $\hbar \to 0$ for classical theory, $c \to \infty$ for non-relativistic theory, and $R \to \infty$ for Poincaré symmetry).
Symmetry Definition: Instead of defining symmetry via background spaces (Minkowski, de Sitter, or Anti-de Sitter), the author defines symmetry at the quantum level strictly through the Lie algebras of irreducible representations (IRs) of the system's operators.
- The most general symmetries are identified as de Sitter (dS) and Anti-de Sitter (AdS) symmetries, corresponding to the Lie algebras $so(1,4)$ and $so(2,3)$, respectively.
- The Poincaré algebra is viewed as a contraction of these algebras where the parameter $R \to \infty$ .
Semiclassical Approximation: The system of cosmologically separated bodies is treated as a collection of non-interacting particles. The description utilizes the tensor product of self-adjoint IRs of the dS algebra. The transition to the semiclassical limit involves relating momentum and coordinate representations (using $r = i\hbar \partial/\partial p$ ) to derive a Hamiltonian that includes dS corrections.

Key Contributions and Results
The paper derives the equation of motion for a free particle within the dS quantum framework without invoking background curvature or dark energy fields:

Derivation of Acceleration: By analyzing the Hamiltonian $H(P, r) = P^2/2m - mc^2r^2/2R^2$ derived from the dS algebra, the author applies Hamilton's equations to show that a free particle undergoes an acceleration:
$a = \frac{rc^2}{R^2} = \frac{1}{3}c^2\Lambda r$
This result matches the observed cosmological acceleration (Eq. 1 in the text).
Repulsion vs. Attraction: The analysis shows that dS symmetry yields repulsion ( $a > 0$ ), whereas AdS symmetry yields attraction ( $a < 0$ ). The observation of cosmic repulsion confirms that dS symmetry is the more general and physically realized framework.
Reinterpretation of Constants: The paper argues that the parameter $R$ (and consequently $\Lambda = 3/R^2$ ) is not a property of a curved background space but a fundamental contraction parameter analogous to $c$ and $\hbar$ . Just as physics does not "derive" the value of $c$ in m/s (which depends on human-defined units), the value of $R$ is a kinematical consequence of the transition from the most general quantum theory to the less general Poincaré-invariant theory.
Resolution of the Cosmological Constant Problem: The author claims that the "problem" of why $\Lambda$ has a specific value is a false problem arising from the incorrect assumption that $\Lambda$ must be derived from a theory of gravity acting on empty space. In the proposed framework, $\Lambda$ is an inevitable kinematical consequence of the quantum theory's structure.

Significance and Claims
The paper asserts that the concept of dark energy is unnecessary and that the cosmological acceleration is an inevitable kinematical consequence of quantum theory in the semiclassical approximation.

Elimination of Exotic Concepts: The author claims that the acceleration can be explained "clearly without uncertainties" and without invoking dark energy, quintessence, or other exotic fields whose physical nature remains a mystery.
Foundational Shift: The work challenges the mainstream view that General Relativity is the ultimate classical limit for gravity, suggesting instead that the concept of a background space-time is non-fundamental. The author argues that quantum theory (specifically dS symmetry) is the more general framework, and GR is merely a specific, less general approximation that fails to explain the origin of $\Lambda$ .
Modest Scope: The paper focuses on the "present stage of the universe" where the semiclassical approximation is valid. It does not claim to solve the full quantum gravity problem but argues that the current cosmological data can be fully explained within the existing framework of quantum theory without new physics.

In conclusion, the author contends that the adoption of dark energy was a deviation from the principle of explaining new data via existing science. By applying the principles of quantum symmetry and contraction, the paper presents a unique solution to cosmological acceleration that renders the concept of dark energy superfluous.