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arXiv:1204.1773 · Lecture notes in computer science

Existence of Faster than Light Signals Implies Hypercomputation already in Special Relativity

Péter Németi, Gergely Székely

Published Jan 1, 2012• 10 citations
arXivHTMLPDF
DOI
10.1007/978-3-642-30870-3_53

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Photonic tunnelling experiments have shown that i) the Einstein energy relation is violated, ii) the tunnelling process is non‐local, iii) the signal velocity is faster than light, i.e. superluminal, iv) the tunnelling signal is not observable, since photonic tunnelling is described by virtual photons, and v) according to the experimental results the signal velocity is infinite inside the barriers, implying that tunnelling instantaneously acts at a distance. We think these properties are not compatible with the claims of many text books on Special Relativity, see for instance Refs. [1].
Quantum mechanics exhibits nonlocal correlations, most clearly demonstrated by entanglement and the violation of Bell inequalities. These phenomena are often described as implying “faster-than-light influences,” creating an apparent contradiction with special relativity. This paper shows that no such contradiction exists once a clear distinction is made between propagating causal influence and global constraint resolution. In a harmonic, structure-first framework, entangled systems constitute single coherent structures extended across space. Measurement imposes a local boundary condition that globally refines the allowed state of the system without transmitting energy, signals, or information. Relativistic causality remains intact because no controllable superluminal communication is possible. Quantum nonlocality reflects structural nonseparability, not superluminal dynamics.