318
29 Tachyons of Plastic Deformation
Fig. 29.1 The tachyon q T (x, t) =
2a
π arctan exp
−π(x+ut)
Loκ
+
a
2 with negative momentum parameter
m T
∗ at t = 0 and u = −2c o
Fig. 29.2 The tachyon solution q T
∞ (t) =
2a
π arctan exp
−
πco
Lo t
+
a
2 . The limiting positions at
t = −∞ and t = +∞ as well as the position at t = 0 are plotted as dashed lines. The arrows
indicate the direction of motion
as we have shown in the last chapter with the help of the composition of velocities,
see the discussion after the examples in Chap. 28.
We will now discuss a paradox that can be used against the particle properties of the
solution (435) of the sine-Gordon equation, therefore against the particle properties
29 Tachyons of Plastic Deformation
Fig. 29.1 The tachyon q T (x, t) =
2a
π arctan exp
−π(x+ut)
Loκ
+
a
2 with negative momentum parameter
m T
∗ at t = 0 and u = −2c o
Fig. 29.2 The tachyon solution q T
∞ (t) =
2a
π arctan exp
−
πco
Lo t
+
a
2 . The limiting positions at
t = −∞ and t = +∞ as well as the position at t = 0 are plotted as dashed lines. The arrows
indicate the direction of motion
as we have shown in the last chapter with the help of the composition of velocities,
see the discussion after the examples in Chap. 28.
We will now discuss a paradox that can be used against the particle properties of the
solution (435) of the sine-Gordon equation, therefore against the particle properties
