Distinguishability of electrons separated by large distances

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Distinguishing two electrons separated by large distances poses a challenge unless they are entangled, as entanglement allows for unique identification. The discussion raises the question of whether this lack of distinguishability implies that all electrons in the universe are entangled. Participants express confusion over the use of unconventional fonts in the conversation, detracting from the main topic. The focus remains on the implications of electron distinguishability and entanglement in quantum mechanics. Overall, the thread explores fundamental concepts in quantum physics related to electron behavior and identity.
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What is the problem in distinguishing two electrons separated by large distances, unless they are entangled. Does distinguishability mean that all electrons in the universe is somehow entangled?
 
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I can't distinguish the letters in your crazy font.

Why do people do that? I really don't get it.
 
Sorry Ben for the bad font i used. Read it again below-

What is the problem in distinguishing two electrons separated by large distances, unless they are entangled. Does distinguishability mean that all electrons in the universe is somehow entangled?
 

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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