We propose that quantum mechanics emerges as the effective description of a deterministic physical reality from the perspective of an internal observer that constitutes a subsystem of a finite closed world. Because such an observer cannot access the complete ontological state of the world to which it belongs, its description is intrinsically incomplete. We refer to this fundamental limitation as subjective incompleteness. It naturally induces a factorization of the ontological state space with respect to gauge degrees of freedom that are indistinguishable to the observer. Within the proposed framework, the projective geometry of quantum state space is understood as a direct consequence of subjective incompleteness. This provides a common geometric origin for characteristic quantum phenomena, including nonlocality, contextuality, and intrinsic randomness.
In a complete quantum theory, one would construct it based on what we can observe in a system and operationally define in our universe. This philosophy goes back to some of the original ideals of quantum theory defined by W. Heisenberg, N. Bohr, and others as part of the Copenhagen school of thought. We argue in this l...
Initially proposed by Hugh Everett III as the “theory of the universal wave function,” the many worlds interpretation has since been developed and refined into one of the most influential ways of giving meaning to quantum mechanics. This volume explores the idea that if one adopts the many worlds interpretation, then...
Textbook quantum superposition refers to the feature that certain linear combinations of Hilbert space rays, each representing a valid quantum state, are themselves valid states. This notion is not operational, and it relies on the underlying Hilbert space formalism. Recent proposals for experimental tests of indefinit...
We introduce a geometric entropy for quantum preparations, defined as the logarithm of the Hilbert-space volume of pure states compatible with a given set of constraints. This construction extends Boltzmann's counting perspective to the quantum setting, where compatible states need not be orthogonal and the relevant no...
R. O. Vallejos, Isadora Veeren, F. Brito et al.· 0 citations
This doctoral dissertation on the foundations of quantum theory isolates and then formalizes a physically relevant concept that I have called"Epistemic Constraint."Here, epistemic constraints are the definite, intersubjectively agreeable, ordinary-language conditions under which experiments are described. The usual for...
Varun Immanuel· 0 citations
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