Quantum systems are the border between reality and imagination.

"Researchers have unveiled a method for passing fragile quantum states between separate photon sources, a key function for future quantum networks. The result suggests that scalable, tamper-proof communication may be closer than expected. Credit: Shutterstock," (ScitechDaily,  Scientists Teleport Information Between Distant Photons for the First Time)

Researchers made the first long-distance quantum teleportation between two photons. In that type of communication, the system transmits wave movement between two photons. The system creates a channel between those photons, and then the wave movement transports information between them. This type of system provides a secure data transmission method between photons that oscillate at the same frequency. When the wave movement travels through that channel, it puts another photon into resonance. This is called superposition. And quantum entanglement. 

Before data transmission is possible, the system must synchronize those photons. Or, they must be put into superposition. And then. The system starts to transmit data. The biggest problem with long-distance quantum entanglement. And a long-distance quantum  data transmission. It is to keep the quantum channel between those photons open. If that quantum channel is closing. That causes resistance. That destroys data. The system transmits through that channel. This is the thing. That makes quantum networks safer.

One of the reasons that makes quantum teleportation and quantum systems hard to create is the error correlation. For successful error correlation, the system must find the error. And. Check the quantum computers' calculation can take thousands of years. Another thing. That makes quantum networks and quantum computers hard to make. It is: how to calculate quantum states. The quantum computer requires a quantum simulation. So that the system can prepare itself for quantum data transmission and quantum computing. 

When we think about complicated quantum algorithms and calculations. We must realize one thing. The problem can be effective. Or it can be non-effective or virtual. Even if we think that all quantum fields have an effect on quantum computers and quantum networks. The reality is that the field must have an energy level that is high enough. Or, the field’s state must be strong enough that it has an effect. All fields. It does not have a strong enough force. that they can affect the quantum networks. So the system must select only fields that have an effect. Another thing is that the form of the field must be right, so that it can resonate with the system. 

The simulator must know all values. That has an effect on the system. So that it can create a simulation.  The system uses those simulations to adjust the quantum system’s particle energy levels and interactions. Data can travel in quantum entanglement. Only from a higher-energy particle. To a lower energy particle. When those particles reach the same energy level that forms the quantum soliton, that destroys the quantum entanglement. The quantum soliton or standing wave causes energy reflection in the quantum wire, which transports information. 

"Researchers at Swinburne have developed a fast new way to check whether certain quantum computers, specifically Gaussian Boson Samplers, are actually producing the results they claim, without waiting millennia for a supercomputer to verify them. Their method can flag errors in minutes on an ordinary laptop, revealing unexpected noise in a recent experiment that would otherwise take 9,000 years to validate. Credit: Shutterstock." (ScitechDaily, If Quantum Computing Is Solving “Impossible” Questions, How Do We Know They’re Right?)

Quantum versions of derivative and integral calculus will be the holy grail for quantum technology. 

The ability to calculate quantum field interactions with particles. And backward, particle interactions with the quantum field would make it possible to create those quantum systems. The reason why. That is very hard to make. Is the energy lost in that interaction? The particle is not absolutely smooth. There are small hills and valleys. So, the field will be separated from the particle. And that means the oscillation will not transmit perfectly between fields and particles. 

We could compare those calculations.  A little bit with the derivative. And integral calculus functions. The integral function is the mathematical model. That is used to check integrals. The integral function is the formula that is the opposite of the derivative function. Or the way to calculate derivatives is backward. The problem with quantum calculations is that they are not basically mathematical or physical formulas. The physics formula describes particles as stable or static objects, or it describes objects as fields. 

The quantum formula introduces objects as the oscillating entireties called “quantum”. Sometimes the quantum calculations are described as systems that must introduce some kind of foam, which changes its state and form indefinitely. The system must take into account. Things like. The energy level and energy type of the system. The position and direction of the particle in the quantum field make the effect. The system must handle multiple variables, like the internal and external interactions. 

And this makes those algorithms very complicated. The biggest difference between quantum and regular systems is this: in regular systems, Data travels in wave movement. Wave motion can be described as a traveling field. In quantum systems, data is connected to physical particles. 

So, the quantum versions of derivative and integral formulas would be the holy grail for quantum technology. The system must calculate the interface between particles and fields around them. The system must notice things. Like natural. Or artifact quantum field interaction with the data transporters and receivers. Things like changes in quantum fields that things. Like, maybe gravitational waves and cosmic rays can affect quantum systems. 

https://scitechdaily.com/if-quantum-computing-is-solving-impossible-questions-how-do-we-know-theyre-right/

https://scitechdaily.com/scientists-teleport-information-between-distant-photons-for-the-first-time/

https://en.wikipedia.org/wiki/Soliton

The new results of Muon g-2 experiments still cause discussions.

“The final (world average) result for the muon's anomalous magnetic moment after a series of experiments at major laboratories. Credit: Physics magazine, American Physical Society” (Phys.org, Final experimental result for the muon still challenges theorists)

The final experiment of the muon experiment. Still challenges physics. The muon g-2 experiment. Still causes discussions. Those anomalies in the Muon trajectory exist. Those anomalies fit into the predicted limit. But they simultaneously continue. And that causes work for theorists. The Muon is a high-energy. And a smaller version of an electron. The anomaly is curvature in the muon trajectory means. That something. That researchers cannot detect. affect the muon itself. Or the magnetic field that controls muons in particle accelerators. This means that there should be something that we cannot predict. 

There is a possibility that: 

1)There is some kind of unknown force that affects muons' trajectory. Maybe that thing is the mythic fifth force. 

2) It’s possible that the particle accelerator that is the low-energy synchrotron creates some kind of mass effect in the middle of it. When a particle runs in the low-energy synchrotron, or ring-shaped accelerator, that thing packs energy in the middle of the ring. That energy can impact the particle. That is in the middle of the synchrotron, and that can form a similar form as some kind of neutron star form. 

The image above. Introduces how plasma field injects energy into black holes. The ring-shaped structures can always inject energy into particles or other objects. In the same way. We can imagine that the synchrotron is in the place of that dark belt. And it transfers energy into an object. That is in the middle of the synchrotron. 

But the energy level in those other reactions is lower. And the energy object, or mass effect, in the middle of the ring-shaped synchrotron could behave in a way that this thing supports the muon g-2 anomaly model. The object in the field doesn’t deliver its energy all the time. The energy level in the particle must rise so high. That. It's higher than in the environment. When the energy level in a particle turns high enough. It can deliver its energy from the equator. Normally, it will deliver energy only from the spin axle. 

“The g − 2 storage-ring magnet at Fermilab, which was originally designed for the Brookhaven g − 2 experiment. The geometry allows for a very uniform magnetic field to be established in the ring.” (Wikipedia, Muon g-2)

This means the energy that this particle delivers must break the magnetic fields in the accelerator. And that requires that the particle or object can store enough energy in it. In that model, the object delivers its energy from the equator. That which affects the muons' route in pulses. And those pulses can explain the curvature in the muon’s trajectory. 

The particle in the middle of the synchrotron can have more mass when it gets symmetrical energy loads. And then that particle, whose energy level rises. Can change the muon trajectory. When energy impulses hit that particle, it sends it from its poles. That effect is similar to relativistic jets. But it's on a much lower energy level.. That can cause an anomaly in the magnetic field. 

3) The muon can collide with dark matter. Those things are one of the things. That causes grey hair for researchers. 

The remarkable thing is that the muon g-2 anomaly happens in the low-energy synchrotrons. This means that it's possible that the accelerator form. Some kind of mass center in the middle of it. These kinds of mass centers can be seen. Only in the low-energy accelerators. In high-energy systems, the kinetic energy is in those particles. And their speed will be too high, and those mass centers will not be detected. Or, they cannot affect those particles in the way that those sensors can detect them. 

https://phys.org/news/2025-11-experimental-result-muon-theorists.html

https://en.wikipedia.org/wiki/Muon_g-2

The existence of tachyons explains the nature of gravity.

Can tachyon be the same as graviton? Tachyon is a hypothetical faster-than-light particle.  That particle cannot exist in the 3rd dimension because nothing can travel faster than light. The graviton is a hypothetical. Transporter boson of gravity. If we think of a possibility. That we could find tachyon in our universe. That point is near black holes. There are models that we cannot observe tachyons. Because. When they interact with 3D particles or space and time. Tachyons release their energy immediately. That means a photon can form when a tachyon releases its kinetic energy. And the ring shape of the photon supports that model. 

The idea is this. When a black hole binds energy, or quantum fields from around it. And turns those fields into kinetic energy. That energy turns some particles into tachyons. If tachyon exists. It can escape from a black hole. So, that means tachyons can be a source of so-called Hawking radiation. If a tachyon travels in the universe, it can leave a similar energy cone behind it. 

As an aircraft leaves. When it travels faster than sound. If a tachyon can form a quantum version of a sonic boom, that means the quantum low pressure follows that hypothetical particle. That thing makes. Quantum fields fall into those cones. And that explains why gravity can only pull things. The tachyon can also make the Hawking radiation possible. 

"A tachyon or tachyonic particle is a hypothetical particle that always travels faster than light. Physicists posit that faster-than-light particles cannot exist because they are inconsistent with the known laws of physics. If such particles did exist they perhaps could be used to send signals faster than light and into the past. "(Wikipedia, Tachyon)

"According to the theory of relativity this would violate causality, leading to logical paradoxes such as the grandfather paradox. Tachyons would exhibit the unusual property of increasing in speed as their energy decreases, and would require infinite energy to slow to the speed of light. No verifiable experimental evidence for the existence of such particles has been found." (Wikipedia, Tachyon)

"The term "tachyon" derives from a 1967 paper by Gerald Feinberg about excitations of a quantum field with imaginary mass. Subsequent work has shown the excitations are not faster than light particles but particle physicists still discuss "tachyons", e.g. in tachyon condensation, when they are referring to tachyonic fields." (Wikipedia, Tachyon)

"A new theory, that explains how light and matter interact at the quantum level has enabled researchers to define for the first time the precise shape of a single photon. Credit: Dr. Benjamin Yuen" (ScitechDaily, Quantum Leap: Scientists Reveal the Shape of a Single Photon for the First Time)

When tachyon arrives. Into the 3rd dimension, it would release its extra energy as a ring-shaped energy wave. So the photon, or at least some of the photons, are the remnants of the tachyons that slow their speed immediately when they arrive in the 3rd dimension. Here, they slow their speed and leave the sockwave behind them. That means a photon could be a similar shockwave to what an aircraft causes. When it crosses the speed of sound. And maybe those shockwaves are photons. 

But near black holes, the massive gravity pulls quantum fields into the black hole. There, the hypothetical tachyon can travel against the quantum fields. That travels into the black hole, the tachyon that can escape from the black hole can exist because the quantum field that travels against the tachyon allows it to cross the speed of light virtually. When a quantum field travels to a particle. And impacts it, the impact speed can be faster than the speed of light. If a particle travels 60% of the speed of light, and a quantum field travels against it with 70 % of the speed of light. 

The impact speed is 130% of the speed of light. That thing is called border crossing. The neutrino telescope benefits from a similar effect. When a neutrino travels into Earth's atmosphere and water, it travels faster than the speed of light in a medium. The neutrino must slow its speed, and during that process, it sends a blue light shockwave. That shockwave is like a quantum version of a sonic boom. 

When we think of a possibility. That a hypothetical graviton is the same thing as a tachyon. When a hypothetical tachyon travels out from the black hole. It can leave a similar cone behind it. As an aircraft leaves. When it travels faster than sound. That cone is called a sonic boom. If a tachyon leaves that kind of cone after it. If there is. Some kind of lower energy area. Energy around it starts to fill that area immediately. If a black hole sends those hypothetical tachyons, they could form the lower-energy area around it. If those hypothetical tachyons. Come out of a black hole. As pulses. That explains black hole quakes. And that explains why gravity has only one way effect. The cone that tachyon forms after it pulls particles into it. 

https://scitechdaily.com/quantum-leap-scientists-reveal-the-shape-of-a-single-photon-for-the-first-time/

https://en.wikipedia.org/wiki/Fundamental_interaction

https://en.wikipedia.org/wiki/Graviton

https://en.wikipedia.org/wiki/Hawking_radiation

https://en.wikipedia.org/wiki/Tachyon