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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
A Potential Foundation For Emergent Space-Time, Kevin H. Knuth, Newshaw Bahreyni
A Potential Foundation For Emergent Space-Time, Kevin H. Knuth, Newshaw Bahreyni
Physics Faculty Scholarship
We present a novel derivation of both the Minkowski metric and Lorentz transformations from the consistent quantification of a causally ordered set of events with respect to an embedded observer. Unlike past derivations, which have relied on assumptions such as the existence of a 4-dimensional manifold, symmetries of space-time, or the constant speed of light, we demonstrate that these now familiar mathematics can be derived as the unique means to consistently quantify a network of events. This suggests that space-time need not be physical, but instead the mathematics of space and time emerges as the unique way in which an …
Physics: Rethinking The Foundations, Kevin H. Knuth
Physics: Rethinking The Foundations, Kevin H. Knuth
Physics Faculty Scholarship
Physics is traditionally conceived of as a set of laws that universally governs the behavior of physical systems. These laws, however they are decreed, are believed to govern the behavior of not only everything in the universe, but the form of the universe itself. However, this traditional concept of physics as a universal governance is at odds with our modern theories of quantum mechanics and relativity, which place the observer and information in a central role. In this talk, I aim to rethink the foundations and attempt to build physics from the bottom up based on a very simple foundational …
The Geometry Of The Projective Joint Spectrum And The Commutativity Of Self-Adjoint Operators, Isaak Chagouel
The Geometry Of The Projective Joint Spectrum And The Commutativity Of Self-Adjoint Operators, Isaak Chagouel
Legacy Theses & Dissertations (2009 - 2024)
The theory of single operators is by now a very mature subject, with the notion of spectrum playing a key role in the theory. However, multivariate operator theory is only in its very early stages of development. There is not even wide agreement about how "the joint spectrum" of an n-tuple A = (A1, · · · , An) of bounded linear operators on the same Hilbert space H should be defined.