High School Particle pair creation probability

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High frequency light beams are more likely to generate virtual electron-positron pairs compared to low frequency beams. The probability of this occurrence raises questions about its dependence on the reference frame, suggesting a potential paradox. However, in quantum theory, the concept of probability for the creation of virtual particles does not apply. This indicates that the perceived paradox may not exist. The discussion concludes that the framework of quantum theory resolves the issue.
calinvass
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I know that a high frequency light beam is more likely to generate a virtual electron-positron pair than a low frequency one. Can this probability depend on the reference frame? It seems there is a paradox. How do we explain it?
 
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In quantum theory, there is no such thing as probability for creation of virtual particles. Therefore there is no paradox.
 
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Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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