Does Elko Spinor Field Imply the Existence of an Axis of Locality?

TL;DR

This paper critically examines the claim that elko spinor fields imply an axis of locality, clarifying that the anticommutator remains strictly local despite previous assertions.

Contribution

It refutes the previous claim by demonstrating that the anticommutator of elko spinor fields is strictly local, challenging the notion of an implied axis of locality.

Findings

The anticommutator {{\Lambda}(x,t),{\Pi}(x,t} is strictly local.

The statement linking elko spinor fields to an axis of locality is equivocal.

The paper clarifies the locality properties of elko spinor fields.

Abstract

In this paper we show that the statement in Ahluwalia, Lee, and Schritt (2011) that the existence of elko spinor fields implies in an axis of locality is equivocated. The anticommutator {{\Lambda}(x,t),{\Pi}(x,t} is strictly local.