Abstract
String theory was developed by demanding consistency with quantum mechanics. In this paper we wish to reverse the reasoning. We pretend that open string field theory is a fully consistent definition of the theory – it is at least a self-consistent sector. Then we find in its structure that the rules of quantum mechanics emerge from the non-commutative nature of the basic string joining/splitting interactions. Thus, rather than assuming the quantum commutation rules among the usual canonical variables we derive them from the physical process of string interactions. Morally we could apply such an argument to M-theory to cover quantum mechanics for all physics. If string or M-theory really underlies all physics, it seems that the door has been opened to an explanation of the origins of quantum mechanics from the physical processes point of view.
Highlights
String theory developed by demanding consistency with quantum mechanics
We will show that there is a clear link between the commutation rules of Quantum mechanics (QM) operators and the non-commutative string joining/splitting interactions [1] that were expressed in the language of the Moyal star formulation of string field theory (MSFT) [2] in a recently improved and more intuitive version [3]
Except for the mathematical similarity, the Moyal ⋆ in MSFT has nothing to do with the Moyal product [4] that reproduces1 QM, because the basic non-commuting quantities in the string ⋆ in MSFT are very different than the canonical conjugates indicated by quantum mechanics
Summary
String theory developed by demanding consistency with quantum mechanics. In this paper we wish to reverse the reasoning. We will show that there is a clear link between the commutation rules of QM operators and the non-commutative string joining/splitting interactions [1] that were expressed in the language of the Moyal star formulation of string field theory (MSFT) [2] in a recently improved and more intuitive version [3].
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