You should switch coffee brands, mate.
Acually, it should be clear that when dealing with $$\sqrt{1}$$ and $$\sqrt{-1}$$, they not only represent negative time directions, that can be even considred as two operations $$<(t,1)a|b(t,2)>$$ that can be in concordance simultaneously.
Not only that, the very functions themselves seem to propose an unlimited value, of $$N=0$$, so that there are positive and negative solutions. Dirac notation, at least as far as i believe is excellent at describing these solutions, even when reflecting on the recently controversial Hamiltonian expression of $$E \pm=Mc^2$$.
In a recent thread here, QQ made a valid point. There is no aboslute zero $$00*=|0|^2$$, so there might be something very wrong about what we call time-zero, and space-zero, when reflecting on their simultaneous birth in a single chronon from no where... hence... it can't be an absolute zero.
So, if $$0=1$$, then it is a contradiction only solvable by saying that zero actually has a value of one, and so long as the value of one keeps by the associative principles behind them.
Refere:
J. A. Wheeler and R. P. Feynman, "Interaction with the Absorber as the Mechanism of Radiation," Reviews of Modern Physics, 17, 157–161 (1945).
''Two-Time Measurements, (ADD), 1985,''
J. A. Wheeler and R. P. Feynman, "Classical Electrodynamics in Terms of Direct Interparticle Action," 21, 425–433 (1949).
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