Gravitationally induced quantum superposition reduction with large extra dimensions

Abstract

A gravity-driven mechanism ("objective reduction") proposed to explain quantum state reduction is analyzed in light of the possible existence of large extra dimensions in the ADD scenario. By calculating order-of-magnitude estimates for nucleon superpositions, it is shown that if the mechanism at question is correct, constraints may be placed on the number and size of extra dimensions. Hence, measurement of superposition collapse times (e.g. through diffraction or reflection experiments) could represent a new probe of extra dimensions. The influence of a time-dependent gravitational constant on the gravity-driven collapse scheme with and without the presence of extra dimensions is also discussed.

Implications for Cognitive Quantum Computation and Decoherence Limits in the Presence of Large Extra Dimensions

“…Indeed, it has been shown that the compactification radii have grown by less than a factor of ten in size over the history of the solar system [36]. Also, the variation of G(t) is also independent of the possible existence of extra dimensions.…”

“…Of course, the time scales required for a significant change in the value of G(t) are on the order of a fraction of the age of the Universe, which most likely would surpass the "biological" time of species on the Earth. Indeed, it has been shown that the compactification radii have grown by less than a factor of ten in size over the history of the solar system [36]. Also, the variation of G(t) is also independent of the possible existence of extra dimensions.…”

“…In a recent paper [36], it was demonstrated that the existence of LEDs can have measurable impact on nucleon collapse times described by Penrose's orchestrated reduction paradigm 2 Assuming a nucleon wavefunction evolves such that the physical conformations of two eigenstates are separated by a distance on par with the radius of the nucleon itself (10 −15 m), collapse times in the presence of LEDs become much shorter than the 10 15 seconds predicted in Reference [19]. In fact, if there are between n = 2 and 3 dimensions of compactification scale R 2 ∼ 10 −3 m to R 3 ∼ 10 −9 m, the nucleon wavefunction will collapse in under 10 −5 seconds.…”