Emanation, Emergence, and Eucatastrophe

This book is the culmination of the seven-book Series: “Physics from Maximal Information Emanation.” The first six books cover the key structures of physics in a modern exposition, often entailing advanced mathematical methods (for which background is provided in the Appendices of the books of the Series). In the first six books fundamental physical/mathematical elements are identified, particularly recurring aspects like alpha perturbation and the manifold construct. This, then, forms the basis for a clear start to the Emanator formalism presented here. This is done similarly to Book 6, where books 1-5 of the series lay the foundation for many thermodynamic concepts before even formally arriving at thermodynamics in Book 6. Here we see that Books 1-6 of the Series have also identified the unique aspects of the foundational theory that will be needed upon here, in Book 7.

Emanator theory stems from the Maximum Information Emanation (MIE) Hypothesis. The definition of information is context dependent, so how the MIE hypothesis will manifest depends on circumstance. We start with the fundamental notion of the quantum propagator, for which mathematical ‘propagators’ satisfy unitarity. We seek to extend this foundational element so start by asking what is the highest Cayley algebra that can remain unitary – where the answer comes down to the highest order division algebra, which consists of the octonions. What if we change the desired property from unitary to unit-norm preserving? Then we can extend 2 more dimensions beyond the 8D octonion algebra to a chiral subspace of the trigintaduonions that is 10D [1].

The 10D chiral trigintaduonions are then identified as the maximal information ‘carriers’ or emanators, operationally like the quantum propagators in a larger theory, where evolution of the system will be shown to result from sums on paths of emanators (similar to quantum evolution in terms of a path integral on propagators ‘steps’). Having posited this maximal construct we see the classic signs of “asking the right question” since we get a variety of clear results, starting with the chiral emanator being manifestly Lorentz Invariant.