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The Foundations Of Inference And Its Application To Fundamental Physics, Nicholas Matthew Carrara
The Foundations Of Inference And Its Application To Fundamental Physics, Nicholas Matthew Carrara
Legacy Theses & Dissertations (2009 - 2024)
This thesis concerns the foundations of inference – probability theory,entropic inference, information geometry, etc. – and its application to the Entropic Dynamics (ED) approach to Quantum Mechanics (QM) [21, 22, 41, 53, 56–61, 150–153, 165, 195, 196, 268]. The first half of this thesis, chapters 2-6, concern the development of the inference framework. We begin in chapter 2 by discussing de- ductive inference, which involves formal logic and it’s role in access- ing the truth of propositions. We eventually discover that deductive inference is incomplete, in that it can’t address situations in which we have incomplete information. This necessitates a …
The Entropic Dynamics Of Relativistic Quantum Fields In Curved Space-Time, Selman Ipek
The Entropic Dynamics Of Relativistic Quantum Fields In Curved Space-Time, Selman Ipek
Legacy Theses & Dissertations (2009 - 2024)
It has often been the case in history that the laws of physics have been used as the framework for understanding and implementing information processing. The tacit assumption is that the laws of physics are fundamental and that the notion of information is derived from these laws. Here we take the opposite view: the laws of physics are an application of the rules for processing information. The inferential framework of entropic dynamics (ED) has previously been developed by A. Caticha for the purposes of understanding and deriving quantum theory, in much the same way that E.T. Jaynes used the MaxEnt …