What Weak Measurements and Weak Values Really Mean: Reply to Kastner.

Area of Science:

• Quantum mechanics
• Foundations of physics

Background:

• Weak measurements are experimentally demonstrated but conceptually debated.
• Kastner's (2017) critique misinterprets weak measurement principles and outcomes.
• This work addresses criticisms and clarifies the significance of weak values.

Purpose of the Study:

• To refute criticisms of weak measurements and the two-state-vector formalism.
• To clarify the meaning and practical significance of weak measurements.
• To provide general comments on the theory and supporting experimental results.

Main Methods:

• Conceptual analysis of weak measurement theory.
• Critique of specific interpretations and criticisms.
• Discussion of experimental evidence supporting the two-state-vector formalism.

Main Results:

• Kastner's criticisms are shown to be based on misinterpretations of weak measurement.
• The validity and significance of weak values are reaffirmed.
• Experimental results supporting the two-state-vector formalism are discussed.

Conclusions:

• Weak measurements and their associated formalism are robust and experimentally validated.
• Misinterpretations can lead to unjustified criticism, hindering scientific progress.
• Future research can leverage projective measurements to validate findings.