Chapter 18 - Indistinguishable

Portent

Flip two fair coins. Odds of each are independent, thus a 25% chance of each of the four outome permutations.

  • HH
  • HT
  • TH
  • TT

Equal odds that the coins match to they do not match. Because…the coins are distinguishable, you can tell which is which.

What happens when they are indistinguishable?

Primary Docs

Paradigm Discourse:
Open the Bingo Bos discourse in the next tab

Technical Chapter:
Open the Indistinguishable chapter in the next tab

Significance

Consider two quantum objects, with just two possible states, like coins. As long as they are distinguishable, your classical analysis will be valid. But as soon as they are indistinguishable, the two cases where their outcomes were different counted as a single case; three permutations instead of four, 33% 33% 33% instead of 25% 25% 25% 25%. Now it is twice as likely that their outcomes will match

  • 1/3 HH
  • 1/3 HT/TH
  • 1/3 TT

The quantum realm is determined to break every single classical paradigm we have. It is pernicious.