Chronon

A chronon is a proposed quantum of time, that is, a discrete and indivisible "unit" of time as part of a theory that proposes that time is not continuous. While time is a continuous quantity in standard quantum mechanics, many physicists have suggested that a discrete model of time might work, especially when considering the combination of quantum mechanics with general relativity to produce a theory of quantum gravity.

One such model was introduced by Piero Caldirola in 1980. In Caldirola's model, one chronon corresponds to about 6.97×10⁻²⁴ seconds for an electron.^[1] This is much longer than the Planck time, another proposed unit for the quantization of time, which is only about 5.39×10^-44 seconds. The Planck time is a universal quantization of time itself, whereas the chronon is a quantization of the evolution in a system along its world line and consequently the value of the chronon, like other quantized observables in quantum mechanics, is a function of the system under consideration, particularly its boundary conditions.^[2] The value for the chronon, θ₀, is calculated from:

^[3]

From this formula, it can be seen that the nature of the moving particle being considered must be specified since the value of the chronon depends on the particle's charge and mass.

Caldirola claims the chronon has important implications for quantum mechanics, in particular that it allows for a clear answer to the question of whether a free falling charged particle does or does not emit radiation. This model supposedly avoids the difficulties met by Abraham-Lorentz's and Dirac's approaches to the problem, and provides a natural explication of quantum decoherence.

See also

• Planck time
• Elementary particle
• Gravastar
• List of particles
• Particle physics
• Quantum mechanics
• Theoretical physics

Notes

References

• Caldirola, P. (1980). "The introduction of the chronon in the electron theory and a charged lepton mass formula". Lett. Nuovo Cim. 27: 225–228. doi:10.1007/BF02750348. 
• Farias, Ruy A. H.; Recami, Erasmo (1997-06-27). Introduction of a Quantum of Time ("chronon"), and its Consequences for Quantum Mechanics. arXiv. http://arxiv.org/abs/quant-ph/9706059. Retrieved 2006-07-31. 
• Albanese, Claudio; and Lawi, Stephan (2004). "Time Quantization and q-deformations". Journal of Physics A. 37: 2983–2987. doi:10.1088/0305-4470/37/8/009. http://eprints.imperial.ac.uk/bitstream/10044/1/48/1/Time%20Quantization%20and%20q.pdf. Retrieved 2006-07-31. 

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