  Divided Government is nowadays a common feature of the U.S. political system.
The voters can cast partisan ballots for two political powers the executive
(Presidential elections) and the legislative (the Congress election). Some
recent studies have shown that many voters tend to shape their preferences for
the political parties by choosing different parties in these two election
contests. This type of behavior referred to by Smith et al. (1999) as "ticket
splitting" shows irrationality of behavior (such as preference reversal) from
the perspective of traditional decision making theories (Von Neumann and
Morgenstern (1953), Savage, (1954)). It has been shown by i.e. Zorn and Smith
(2011) and also Khrennikova et al. (2014) that these types of "non-separable"
preferences are context dependent and can be well accommodated in a quantum
like framework. In this paper we use data from Smith et al. (1999) to show
first of all probabilistic violation of classical (Kolmogorovian) framework. We
proceed with the depiction of our observables (the Congress and the
Presidential contexts) with the aid of the quantum probability formula that
incorporates the "contextuality" of the decision making process through the
interference term. Statistical data induces an interference term of large
magnitude a so called hyperbolic interference. We perform with help of our
transition probabilities a state reconstruction of the voters state vectors to
test for the applicability of the generalized Born rule. This state can be
mathematically represented in the generalized Hilbert space based on
hyper-complex numbers.

General Physics