Invariance of Spooky Action at a Distance in Quantum Entanglement Under Lorentz Transformation

Ji-Rong Ren, Shi-Xiong Song

Sharifi, Mohammad

We study the mechanism by which the particle-antiparticle entangled state collapses instantaneously at a distance. By making two key assumptions, we are able to show not only that instantaneous collapse of a wave function at a distance is possible but also that it is an invariant quantity under Lorentz transformation and compatible with relativity. In addition, we will be able to detect in which situation a many-body entangled system exhibits the maximum collapse speed among its entangled particles. Finally we suggest that every force in nature acts via entanglement.

Philip Lilien

No signal. No spooky force. No preassigned vectors. One bivector. Two disclosures. Entanglement is not action at a distance. It is relation disclosed as distance. This paper offers a condensed refutation of the interpretation commonly called “spooky action at a distance.” It does not deny quantum entanglement, Bell correlations, or the empirical validity of quantum mechanics. Rather, it challenges the assumption that entanglement requires one particle to influence another across space. The central proposal is that an entangled pair should not be understood as two originally separate particles requiring later coordination, but as a single undisclosed bivector coherence relation that reduces into paired spin-vector outcomes under measurement. Bell’s theorem rules out preassigned local hidden vector values, but it does not require the conclusion that superluminal action occurs between distant particles. In this framework, the hidden structure is not a classical local variable, but the prior relational spin-plane from which the measured vectors are co-disclosed. Entanglement is therefore not action at a distance, but relation disclosed as distance. The phrase “spooky action at a distance” suggests that two separated particles somehow communicate or influence one another instantly. This paper argues that the phrase is misleading because it begins with the wrong picture. The entangled pair is not first two separate particles. It is first one relational coherence structure. Measurement does not send a message from one particle to another. Measurement discloses paired outcomes from the same underlying relation. In this view, the mystery is not solved by denying quantum mechanics. Quantum mechanics is preserved. Bell’s theorem is preserved. No faster-than-light signal is introduced. What changes is the ontology. The measured spin vectors are not more fundamental than the relation. They are reduced disclosures of the relation. The core claim is simple: 𝓑AB → (sA, sB) One bivector relation discloses as two correlated vector outcomes. There is no spooky force crossing space. There is one coherence relation disclosed through two measurement sites. Keywords Bivector coherence; entanglement; Bell’s theorem; spooky action at a distance; quantum foundations; spin vectors; relational coherence; measurement; nonlocality; coherence disclosure.

Hennadii Kovalov

We formalize a bilocal extension of the Classical Transition Operator within the framework to resolve the Einstein–Podolsky–Rosen (EPR) nonlocality paradox. By treating the electron () and positron () not as discrete, spatially isolated entities, but as dual, time-symmetric observational projections of a singular topological -cell, quantum entanglement is shown to be a strict artifact of dimensional reduction. Introducing a dynamic phase shift governed by an external Minkowski 4-potential , we employ the 4‑dimensional Stokes’ theorem to map the phase accumulation directly onto the classical Maxwell field tensor . This geometric mapping naturally derives the covariant Lorentz force equation. We demonstrate that the apparent “spooky action at a distance” is an artifact of the coordinate time projection, whereas the physical metric of the system remains strictly local and invariant within the absolute phase time .

Santhosh Mathew