What is it about?
We propose a generalization of the Einstein-Planck relation to tentatovely explore a possible behaviour of quantum physics at the Planck scale. In such expression, the energy of photons is inversely proportional to their wavelength for wavelengths much higher than the Planck length, but it becomes proportional to the wavelength at subPlanckian scales.
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Why is it important?
The divergence of the photon energy for very small wavelengths is avoided. The Heisenberg relation becomes modified at Planckian and subPlanckian scales
Perspectives
Quantum physics has been expored to scales of 10^-20 m. This is 15 orders of magnitude higher than the Plank length. Thus, it is worth examining possible modification of basic expressions of quantum physics approaching the Plank scales. This is necessary if quantum physics and general relativity are to be unified.
David Jou
Universitat Autonoma de Barcelona
Read the Original
This page is a summary of: Duality-invariant Einstein-Planck relation and the speed of light at very short wavelengths, Physical Review D, November 2011, American Physical Society (APS),
DOI: 10.1103/physrevd.84.107303.
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