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Jon Eakins

Publications and source records attributed to Jon Eakins.

7 recordsLinked to original sources
arXiv2006

Particle decay processes, the quantum Zeno effect and the continuity of time

Signal-state quantum mechanics is used to discuss quantum mechanical particle decay probabilities and the quantum Zeno effect. This approach avoids the assumption of continuous time, conserves total probability and requires neither non-Hermitian Hamiltonians nor the ad-hoc introduction of complex energies. The formalism is applied to single channel decays, the ammonium molecule, and neutral Kaon decay processes.

quant-ph↗
arXiv2006

Bohr-Heisenberg Reality and System-Free Quantum Mechanics

Motivated by Heisenberg's assertion that electron trajectories do not exist until they are observed, we present a new approach to quantum mechanics in which the concept of observer independent system under observation is eliminated. Instead, the focus is only on observers and apparatus, the former describing the latter in terms of labstates. These are quantum states over time-dependent Heisenberg nets, which are quantum registers of qubits representing information gateways accessible to the observers. We discuss the motivation for this approach and lay down the basic principles and mathematical notation.

quant-ph↗
arXiv2004

Endophysical information transfer in quantum processes

We give a mathematical criterion for the concept of information flow within closed quantum systems described by quantum registers. We define the concepts of separations and entanglements over quantum registers and use them with the quantum zip properties of inner products over quantum registers to establish the concept of partition change, which is fundamental to our criterion of endophysical information exchange within such quantum systems.

quant-ph↗
arXiv2003

The origin of causal set structure in the quantum universe

We discuss the origin of causal set structure and the emergence of classical space and time in the universe. Given that the universe is a closed self-referential quantum automaton with a quantum register consisting of a vast number of elementary quantum subregisters, we find two distinct but intimately related causal sets. One of these is associated with the factorization and entanglement properties of states of the universe and encodes phenomena such as quantum correlations and violations of Bell-type inqualities. The concepts of separations and entanglements of states are used to show how state reduction dynamics generates the familial relationships which gives this causal set structure. The other causal set structure is generated by the factorization properties of the observables (the Hermitian operators) over the quantum register. The concept of skeleton sets of operators is used to show how the factorization properties of these operators could generate the classical causal set structures associated with Einstein locality.

gr-qc↗
arXiv2002

Factorization and Entanglement in Quantum Systems

We discuss the question of entanglement versus separability of pure quantum states in direct product Hilbert spaces and the relevance of this issue to physics. Different types of separability may be possible, depending on the particular factorization or split of the Hilbert space. A given orthonormal basis set for a Hilbert space is defined to be of type (p,q) if p elements of the basis are entangled and q are separable, relative to a given bi-partite factorization of that space. We conjecture that not all basis types exist for a given Hilbert space.

quant-ph↗
arXiv2002

The Quantum Universe

On the basis that the universe is a closed quantum system with no external observers, we propose a paradigm in which the universe jumps through a series of stages. Each stage is defined by a quantum state, an information content, and rules governing temporal evolution. Only some of these rules are currently understood; we can calculate answers to quantum questions, but we do not know why those questions have been asked in the first place. In this paradigm, time is synonymous with the quantum process of information extraction, rather than a label associated with a temporal dimension. We discuss the implications for cosmology.

quant-ph↗