## Quantum scarring from TGD point of viewQuantum scarring (QS) and its many-body counterpart MBQS are very interesting challenges for TGD. Eigenstate thermalization hypothesis (ETH) states the time development of energy eigenstate to a superposition of large number of eigenstates with the same energy gives rise to thermalization. In MBQS the thermalization is however very slow for most states and there are states for which it it does not occur at all and the system returns to the original state periodically. Integrable systems for which the energies of the sates are rational multiples of a finite number of "fundamentals" have this property. MBQS in the case considered occurs for an array containing ground state atoms and their Rydberg counterparts.
In TGD framework one can consider the possibility that instead of Rydberg atoms one has pseudo Rydberg atoms having non-standard value h See the chapter Criticality and dark matter or the article Quantum scarring scarring from TGD point of view. |