# Deterministic control of the probabilistic spin of particles using a helical external magnetic field in quantum entanglement experiments

Emmanouil Markoulakis

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Emmanouil Markoulakis. Deterministic control of the probabilistic spin of particles using a helical external magnetic field in quantum entanglement experiments. 2025. hal-04987344v2

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# Deterministic control of the probabilistic spin of particles using a helical external magnetic field in quantum entanglement

Emmanouil N. Markoulakis, Computer Technology Informatics & Electronic Devices Lab, Department of Electronic Engineering, Hellenic Mediterranean University, Romanou 3, Chania 73133, Crete, Greece. E-mail:markoul@hmu.gr

## Abstract

A novel theory for controlling with 100% confidence the spin of individual particles using a specific helical magnetic external field and therefore circumventing the non-communication theorem and making possible the instantaneous transfer of information in an entangled particle pair.

Keywords: Quantum spin, quantum entanglement, electrons, quantum communication.

## 1. Introduction

In QM and QE effects an entangled particle pair is called also a singlet with some properties of the two particles like spin, non-locally correlated. However, there is no transfer of information possible (i.e. non-communication theorem) therefore SR is not violated by this quantum effect. This is instantaneous-action-at-a-distance without involving information transfer (i.e. signaling) established theory says and could be also kind of non-measurable with today's apparatus superluminal action.

So, why exactly we cannot use for example spin entangled pairs to transfer say bit logic information instantaneously? My search revealed for especially for the case of spin, when Bob changes the polarization of the external homogeneous magnetic field B engulfing his entangled particle say for making B field spin up, then the individual spin of the particle can end up being parallel to B thus spin up but also with equal possibility end up being antiparallel spin down during the measurement. The same goes for Alice on the far other end. If she polarizes say her external magnetic field B to be say spin up in order to make the measurement and finds that her entangled particle is spin down then with 100% confidence she can say that Bob's particle at the same time is measured to be spin up. And here is actually where the whole story ends.

Not being able to actually control the individual spin of the entangled particles and therefore not having a common reference, makes transfer of information from both sides impossible and therefore both Alice and Bob end up receiving random noise.

If the above description is correct then is it logical to prohibit that possibly there is indeed some signaling (i.e. transfer of information) involved between the two particles but the non-
communication theorem describes only our inability to resolve this signal due to the fact that we
cannot actually control the spin probability of the entangled particles?

Therefore, as a conclusion the probabilistic nature of QM should not be attributed to the particles
but to the observer's measurement? And therefore the measurement problem.

But what if there is actually a way to control by 100% the probabilistic spin of individual particles?
According to our research this can be done using instead of a homogeneous straight flux external
magnetic field B, a specific helical magnetic flux field B_H either spin up or spin down. Next we will
describe why this is so, and the specific screw alike manifold this external helical magnetic field
need to have.

2. The helical charge flux manifold of the electron

According to our previous research [1] of the specific charge flux manifold of an electron this is shown in
**Fig. 1** to be helical<fnref n="1" />:

<figure><img src="image_2.png" /><figcaption>Figure 1 Spheroid horn torus helical charge flux manifold of the electron [1].</figcaption></figure>

Specifically, a tangent line to the flux lines at the equator of the above shown manifold is at exactly
54.7356° angle from the vertical z-axis also know in mathematics and nuclear physics as the magic
angle<fnref n="2" />.

<footnote n="1">¹ Animation: https://www.horntorus.com/particle-model/mm-index.html</footnote>

<footnote n="2">² Magic Angle: https://en.wikipedia.org/wiki/Magic_angle</footnote>
Instead of using an homogeneous straight flux lines [2] external B magnetic field during the spin measurement, a helical screw alike magnetic flux B<sub>H</sub> external field is used with its flux manifold similar to a left-handed screw and its step thread matching the magic angle approximate 54.73° from the vertical z-axis then we theorize that we can deterministic control the spin of the electron in an entanglement experiment either to be consistently parallel or antiparallel to the external field by switching the direction of the B<sub>H</sub> external field from spin up to spin down or vice versa. Therefore, having now a common reference, transfer of information within the entailment pairs is made possible. Thus, opening the gate for effectively instantaneous or at least superluminal communication. The problem with the used so far external homogeneous straight magnetic flux B is that because its unitary flux manifold the electron could choose randomly if it aligns parallel or antiparallel to the B field. But using this matching angle external helical B<sub>H</sub> the individual electron spin is forced. This is demonstrated in Fig. 2:

<figure><img src="image_3.png" /><figcaption>Figure 2 (a) Electron can randomly orient its spin parallel or antiparallel to an external straight flux magnetic field B<sup>3</sup>. (b) Helical B<sub>H</sub> external magnetic field with skewed magnetic flux angle matching the electron and controlling its spin.</figcaption></figure>

<footnote n="3">³ Animation: Electron Quantum Spin-½ including Precession in an External Homogeneous B Field, https://sites.google.com/view/electronquantumspin-12withprec/home.</footnote>
However, a helical external magnetic field $B_H$ applied with its helix step angle matching this intrinsic charge flux manifold thread angle of the electron of 54.73° as shown in Fig. 2 will control deterministic the spin of the particle similar to a normal screw only going in or out from the hole when the threads match. There are many ways to create artificially a specific external helical flux magnetic field $B_H$. In one of our previous publication of a Synthetic Magnetic Unipole device [3] we have shown how this is fundamentally possible using a permanent magnetic array, see Fig. 3:

<figure><img src="image_4.png" /><figcaption>**Figure 3** Screw like formation of the magnetic vortex at the centre as shown with a magnetic field viewing film created by synthetic magnetic unipole device [3].</figcaption></figure>

## 2.1. Alternative Experimental verification of the deterministic control of quantum spin

Repeating the classical Stern-Gerlach experiment but this time replacing the inhomogeneous field standard SG Magnet, with a magic angle helical magnetic field generated by a special modified Helmholtz coil would not generate the expected quantized orientation splitting pattern (i.e. eye pattern) displayed on the detector screen. But instead, only half of the upper or lower section of the classical pattern will be displayed each time depending the selected spin up or spin down magnetic polarization induced by the helical field magic angle ≈54.7° Helmholtz coil, see **Fig. 4**:
<figure><img src="image_5.png" /><figcaption>Figure 4 Different obtained spin quantization patterns. (a) The classical SG Experiment probabilistic spin quantization of electrons using a normal unitary axial flux external magnetic field. (b) Deterministically 100% controlled spin of electrons using a magic angle ≈54.7° helical twisted flux external magnetic field.</figcaption></figure>

## 2.2. Use of magic angle helical magnetic field in nuclear fusion Tokamak and Stellarator Reactors

According to our research [1] nature's choice of the magic angle θm:

$$ \theta_m = \arctan(\sqrt{2}) \approx 54.74^{\circ} \qquad (1) $$

for the electron charge is not arbitrary but the best fundamental angle value for maintaining the electron charge manifold stability.

We propose that this fundamental angle could be also having practical application in today's nuclear fusion and benefit experiments & enterprise like Tokamak and Stellarator Reactors. Both of these technologies are using a helical magnetic field for confining and compressing the rotating plasma inside the reactor, see Fig. 5:
<figure><img src="image_6.png" /><figcaption>Figure 5 (a) Tokamak helical magnetic confinement field configuration<fnref n="4" />. (b) Stellator helical magnetic confinement field configuration<fnref n="5" />.</figcaption></figure>

We suggest that both of these fusion technologies shown in Fig. 5 could achieve higher magnetic field confinement stability, strength and efficiency, by mimicking nature and integrating the magic angle in their magnetic field configuration.

### 3. Conclusion

We have shown a novel way to control deterministically the probabilistic spin of the electron in an entangled pair experiment by taking into account the intrinsic charge flux manifold of the electron [1] and therefore open the possibility for transfer of information in a quantum entanglement singlet experiment. Additionally, in secretion 2.1 we have shown how the proposed herein deterministic manual control of the quantum spin of the electrons using a magic angle helical external magnetic field can be alternatively also demonstrated by a modified apparatus, Stern-Gerlach experiment.

<footnote n="4">⁴ Image Credits: R.A. Pitts, R.J. Buttery, S.D. Pinches, - Fusion: the way ahead, Physics World 19 (2006) 20</footnote>

<footnote n="5">⁵ Image Credits: European Nuclear Society - http://www.euronuclear.org/info/encyclopedia/s/stellarator.htm</footnote>
References

[1] E. Markoulakis, E. Antonidakis, A ½ spin fiber model for the electron, Int. J. Phys. Res. 10 (2022) 1–17. doi:10.14419/ijpr.v10i1.31874.

[2] Emmanouil Markoulakis, Timm Vanderelli, Lambros Frantzeskakis, Real time display with the ferrolens of homogeneous magnetic fields, Journal of Magnetism and Magnetic Materials, Volume 541, 2022, 168576, https://doi.org/10.1016/j.jmmm.2021.168576.

[3] E. Markoulakis, J. Chatzakis, A. Konstantaras, E. Antonidakis, A synthetic macroscopic magnetic unipole, Phys. Scr. 95 (2020). doi:10.1088/1402-4896/abaf8f.