13 citations · 13 across the 2 of their papers we have counts for
5 papers
The arithmetic of uncertainty unifies quantum formalism and relativistic spacetime
John Skilling, Kevin H. Knuth
The theories of quantum mechanics and relativity dramatically altered our understanding of the universe ushering in the era of modern physics. Quantum theory deals with objects pro…
The symmetrical foundation of Measure, Probability and Quantum theories
John Skilling, Kevin H. Knuth
Quantification starts with sum and product rules that express combination and partition. These rules rest on elementary symmetries that have wide applicability, which explains why…
Exploring Multi-Modal Distributions with Nested Sampling
F. Feroz, J. Skilling
In performing a Bayesian analysis, two difficult problems often emerge. First, in estimating the parameters of some model for the data, the resulting posterior distribution may be…
Foundations of Inference
Kevin H. Knuth, John Skilling
We present a simple and clear foundation for finite inference that unites and significantly extends the approaches of Kolmogorov and Cox. Our approach is based on quantifying latti…
Origin of Complex Quantum Amplitudes and Feynman's Rules
Philip Goyal, Kevin H. Knuth, John Skilling
Complex numbers are an intrinsic part of the mathematical formalism of quantum theory, and are perhaps its most mysterious feature. In this paper, we show that the complex nature o…