Graduate Is the visualization of quantum fields as harmonic oscillators accurate?

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The discussion centers on the visualization of quantum fields as harmonic oscillators and its accuracy in quantum field theory (QFT). A paper was referenced for insights on this topic, prompting a critical examination of whether the author's claims could be misleading. The intent is to develop a personal understanding by creating custom Monte Carlo code for visualizing quantum fields, despite concerns about the validity of the harmonic oscillator analogy. An additional link raises questions about the implications of viewing quantum fields in this manner. The conversation highlights the complexity of accurately representing quantum fields in theoretical physics.
Geofleur
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After learning that QFT describes particles as excitations of underlying fields, I've been trying to gain a more definite understanding of what it means; I came across this paper:

https://iopscience.iop.org/article/10.1088/1361-6404/aaa032

Does the author say anything that is misleading?

If his approach is correct, I intend to dig into the equations and write my own Monte Carlo code for visualizing the fields. The author has a freely available code, but writing my own would help me understand this stuff better myself (I hope!).

Later edit: Uh oh, if it's misleading to think of quantum fields as harmonic oscillators filling space, as claimed here - https://physics.stackexchange.com/q...field-an-infinite-set-of-harmonic-oscillators - then we have a problem.
 
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Link to article for those interested,

https://www.researchgate.net/profile/Helmut_Linde/publication/321684743_A_new_way_of_visualizing_quantum_fields/links/5a351db70f7e9b10d8450657/A-new-way-of-visualizing-quantum-fields.pdf?origin=publication_detail
 
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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