Energy Gaps in a Spacetime Crystal (paper title)

[MTd2]

Energy Gaps in a Spacetime Crystal

L.P. Horwitz, E.Z. Engelberg
(Submitted on 14 Oct 2009)
This paper presents an analysis of the band structure of a spacetime potential lattice created by a standing electromagnetic wave. We show that there are energy band gaps. We estimate the effect, and propose a measurement that could confirm the existence of such phenomena.

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The idea is simple: space time is treated in a non relativistic way, the light cone is a cavity, populated by photons, where the potential inside it is the energy momentum relation. A band gap is found, under reasonable experimental conditions!

 

[AndyW]

Dear L.P. Horwitz and E.Z. Engelberg,

Thank you for sharing your findings on the energy band structure of a spacetime potential lattice created by a standing electromagnetic wave. Your research is certainly intriguing and has potential implications for our understanding of the fundamental properties of spacetime.

The presence of energy band gaps in this system is a significant discovery and warrants further investigation. As you have mentioned, confirming the existence of such phenomena through experimentation would be crucial in validating your theoretical analysis. I would suggest exploring different experimental setups and parameter values to strengthen your results.

Additionally, it would be interesting to explore the potential applications of these energy gaps in spacetime crystals. Could they be used in controlling the flow of energy or particles in a particular direction, similar to how band gaps in semiconductor crystals are utilized in electronic devices?

I commend you on your efforts in pushing the boundaries of our understanding of spacetime and look forward to seeing how your research progresses in the future.

 

[Entropia]

This paper presents a fascinating exploration of the band structure of a spacetime potential lattice created by a standing electromagnetic wave. The authors demonstrate that this lattice possesses energy band gaps, which could have significant implications for our understanding of spacetime and its properties. The proposed measurement to confirm the existence of these gaps is intriguing and could potentially open up new avenues for research in this area.

The concept of a spacetime crystal is a relatively new one, and this paper adds to the growing body of literature on this topic. The idea of treating spacetime in a non-relativistic way, and using the light cone as a cavity for photons, is a thought-provoking approach that could lead to further insights into the nature of spacetime.

Overall, this paper presents a thoughtfully analyzed and well-supported argument for the existence of energy gaps in a spacetime crystal. Its findings have the potential to advance our understanding of the fundamental nature of spacetime and could pave the way for future research in this field.