Contextual Emergence of Physical Properties

Robert C. Bishop, Peter beim Graben

Erich Joos, H. D. Zeh

Barbara Drossel

Abstract Even though physicists often claim that their theories can, in principle, be reduced to the supposedly most fundamental theory, which is quantum physics, a look at how physics is practiced reveals that this reduction is almost never performed. Instead, effective models are built that include various types of contextual information and that are often incompatible with the supposedly fundamental theory. The phenomena described by these models can be characterized as contextually emergent. This chapter illustrates contextual emergence by means of examples from different fields of physics. In quantum physics, explanations of the measurement process require the assumption of a classical context that specifies the observable being measured and that induces the measurement event. In condensed matter theory, we find many types of quasiparticles that can only exist due to the solid that embeds them and the structure of which determines the properties of the quasiparticles. In thermodynamics, state variables such as the pressure and temperature of a system are given by its environment, and its phase transitions are triggered by changes in the environment. In the early universe, the degrees of freedom and the density and temperature determine the types of particles that are found in the universe. Later, the overall properties of the universe determine whether matter can condense to form stars. From all this it follows that processes and descriptions at different scales are equally important in physics. There are even contextual influences from outside physics. The chapter will thus conclude that physics is not causally closed.

Paweł Kurzyński, Akihito Soeda, Ravishankar Ramanathan +3 more

Viktoras Rimsha, Laimontas Risha

We present a unified, autonomous formulation of quantum mechanics derived strictly from the foundational principles of Contextual Probability Theory. Instead of initiating the formalism via complex wave functions in Hilbert space, we postulate that the primary physical reality is a realvalued joint distribution 𝑃(𝑢, 𝑣, 𝑡)in a hybrid phase space. Here, the variable 𝑢 is explicitly defined as the structural property (index) characterizing a contextual whole (equivalence class), while 𝑣 represents the internal spectral alternative within that context. We mathematically demonstrate that the traditional Hilbert space architecture, complex amplitudes, and non-commuting operators are not primary postulates of nature, but rather emergent information-compensating artifacts that inevitably arise when the unified contextual flow is projected onto lower-dimensional subspaces.To demonstrate the universal validity of this mechanism, we deliberately restrict our current derivation to the foundational, one-dimensional case. Proving that the entire quantum apparatus emerges seamlessly within this prototype guarantees that the underlying principle can be directly generalized to higher dimensions and more complex contextual configurations.“