Regularity theory of Fourier integral operators with complex by Michael Ruzhansky

By Michael Ruzhansky

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By Michael Ruzhansky

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The sign distinguishes input probability vectors from outtake probability vectors [2]. To fix the sign, let input vectors (kets) have positive norm and outtake vectors (bras) negative. This changes no physics in the usual quantum theory, which does not add bras and kets. Here it enlarges the group and must be tested by experiment. The constant i¯h of the usual quantum physics is then another non-zero vacuum expectation value, a frozen variable like the Minkowski metric gμ μ and the Higgs field.

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17) i=1 Lagrangian for this collection of two distinct strings {φq , φ } is of the form LP = ∑ p∈P Lp = ∑ (−1) 2 D p∈P 1 mD p 2 1 − φ p p 2m2 φ p + φ p+1 . 5 Fig. 1 The 2-adic string potential V2 (ϕ ) (on the left) and 3-adic potential V3 (ϕ ) (on the right) of D standard Lagrangian (4), where potential is presented by expression (6) with mg2 = 1 String field φ in (18) we shall consider in its vacuum state φ = +1 or −1 with Lagrangian D L = −V (±1) = (−1) 2 +1 2 mD ∼ −Λ g2 2( + 1) (19) related to the cosmological constant Λ (prime index may remind Λ ).

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