# Why space has three dimensions: A quantum mechanical explanation

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Discusses the influence of drag effect on acoustic modes in two-condensate relativistic superfluid systems. Equations describing a relativistic quantum system in the state of local equilibrium below the critical point containing two superfluid components Variation of the second, third and...

- Relativistic Quantum Protocols: Bit Commitment and Coin Tossing. Molotkov, S. N.; Nazin, S. S. // Journal of Experimental & Theoretical Physics;Oct2001, Vol. 93 Issue 4, p876
New relativistic quantum protocols realizing the bit commitment and coin tossing schemes are proposed. The protocols are based on the idea that spatially extended nonstationary orthogonal quantum states inaccessible for measurement cannot be unambiguously distinguished. As the states are...

- A Simple Proof of Unconditional Security of Relativistic Quantum Cryptography. Molotkov, S. N.; Nazin, S. S. // Journal of Experimental & Theoretical Physics;May2001, Vol. 92 Issue 5, p871
A simple proof of the unconditional security of a relativistic quantum cryptosystem based on orthogonal states is given. Limitations imposed by the special relativity theory allow the proof to be markedly simplified as compared to the case of nonrelativistic cryptosystems based on nonorthogonal...

- Relativistic Quantum Bit Commitment in Real-Time. Molotkov, S. N.; Nazin, S. S. // Journal of Experimental & Theoretical Physics;Apr2000, Vol. 90 Issue 4, p714
A relativistic quantum exchange protocol making it possible to implement a bit commitment scheme is realized. The protocol is based on the idea that in the relativistic case the propagation of a field into a region of space accessible for measurement requires, in contrast to the nonrelativistic...

- Techniques for Electro-Optic Bunch Length Measurement at the Femtosecond Level. Bolton, P.; Dowell, D.; Krejcik, P.; Rifkin, J. // AIP Conference Proceedings;2002, Vol. 648 Issue 1, p491
Electro optic methods to modulate ultra-short laser pulses using the electric field of a relativistic electron bunch have been demonstrated by several groups to obtain information about the electron bunch length charge distribution. We discuss the merits of different approaches of transforming...

- Finite moment equations for a relativistic simple gas. Majorana, A. // Journal of Mathematical Physics;Apr88, Vol. 29 Issue 4, p987
This paper on the relativistic Boltzmann equation deals with the derivation of moment equations for a simple gas. It is shown that for a neutrino gas and for a hard-sphere model in the ultrarelativistic case, the moment equations at each order contain only a finite number of moments of the...

- The initial value problem for a class of general relativistic fluid bodies. Rendall, A. D. // Journal of Mathematical Physics;Mar1992, Vol. 33 Issue 3, p1047
A body or collection of bodies made of perfect fluid can be described in general relativity by a solution of the Einsteinâ€“Euler system where the mass density has spatially compact support. It is shown that for certain equations of state there exists a wide class of solutions of this type...

- Theory of Relativistic-Electron Transition Radiation in a Thin Metal Target. Shul�ga, N. F.; Dobrovol�skii, S. N. // Journal of Experimental & Theoretical Physics;Apr2000, Vol. 90 Issue 4, p579
An analysis is made of the transition radiation of a relativistic electron in a thin metal target in the infrared wavelength range. It is shown that in this case, the spatial transverse dimensions responsible for forming the radiation may have macroscopic dimensions comparable with the size of...

- Variational equilibrium of relativistic electron beams. Ganesh, R.; Avinash, K. // Physics of Plasmas;Nov94, Vol. 1 Issue 11, p3693
Presents a formulation of the problem of equilibrium of relativistic electron beams in terms of a variational principle. Determination of the equilibrium in terms of spatially averaged conditions at the cathode; Reduction of variational solution to Reiser-Diament solution for a shielded cathode.