Quantum-Geometry Dynamics; an axiomatic approach to physics does not explicitly dedicate a section solely to the "measurement problem" as it is known in quantum mechanics. However, QGD's fundamental principles and its critique of quantum mechanics offer a perspective that implicitly addresses the issues at the heart of this problem.
Here's how QGD approaches the challenges raised by the measurement problem:
-
Strict Causality and Determinism: QGD is founded on the principle of strict causality, which asserts that every successive state of a particle, structure, or system is strictly and uniquely causally linked to the preceding one. This deterministic view stands in contrast to the standard interpretation of quantum mechanics where measurement outcomes are probabilistic. From a QGD perspective, the apparent randomness of quantum measurements is likely not fundamental but rather a consequence of an incomplete description at the quantum level.
-
Discrete Nature of Reality: QGD posits that space and matter are fundamentally discrete. This discreteness implies that the evolution of systems occurs through discrete steps governed by strict causal laws at the level of preons. What appears as a probabilistic "collapse" of a superposition upon measurement in quantum mechanics might be explained in QGD as a deterministic transition between discrete states that is currently not fully understood or accessible by continuous mathematical models.
-
Rejection of the Uncertainty Principle as Fundamental: QGD considers the uncertainty principle a consequence of quantum mechanics' assumption of continuous space, rather than a fundamental limitation of reality itself. In a discrete and strictly causal framework, the simultaneous and certain measurement of conjugate properties should, in principle, be possible. This suggests that the limitations imposed by the uncertainty principle in quantum mechanics, which contribute to the puzzle of measurement, are not inherent in the underlying reality as described by QGD.
-
Instantaneous Gravitational Interactions: QGD proposes that gravitational interactions are instantaneous. This non-local aspect of QGD could be relevant to how measurement on one part of a system seemingly instantaneously affects another, as seen in entanglement. QGD suggests that observed violations of Bell's inequalities might be due to these instantaneous classical (gravitational) effects rather than quantum non-locality. This could imply that the act of measurement involves instantaneous gravitational interactions that determine the outcome in a strictly causal way.
-
Incompleteness of Quantum Mechanics: QGD implicitly suggests that quantum mechanics is an incomplete theory. The need for probabilistic interpretations and the difficulties associated with the measurement problem might indicate that quantum mechanics does not fully capture the underlying deterministic and discrete reality. QGD aims to provide a more fundamental axiomatic basis that can explain these phenomena through strictly causal mechanisms at the preonic level, potentially resolving the measurement problem by providing a deterministic account of what happens during a measurement.
In summary, while QGD does not offer a specific "solution" to the measurement problem as a distinct topic, its core tenets of strict causality, the discrete nature of reality, the view of the uncertainty principle as non-fundamental, and instantaneous gravitational interactions provide a framework that inherently challenges the probabilistic interpretation of quantum measurement. QGD would likely argue that what appears as the "collapse" of a wave function is a deterministic process governed by underlying causal laws at the preonic level, and that a more complete theory based on its axioms would ultimately provide a strictly causal explanation for measurement outcomes.