Abstract. Since December 2011, researching how the universe might have emerged through the simple doublings of the Planck base units, a rather naive paradigm for emergence and an integrated or unified theory of mathematics was created. In 2014 it was rather-loosely hypothesized that the foundations for consciousness emerged within notations 50-to-60. Although idiosyncratic — we could not find any prior research based on the doublings of the Planck base units — the works of Thomas Kuhn encouraged our further explorations of this paradigm. This RFP is to more completely and rigorously research the logic of the Planck base units and doublings (emergence), particularly the progressions from the first doubling to the 67th doubling so to ascertain where the current work within particle physics can reach no further and where what we’ve called a hypostatic structure begins. A key hypothesis is that mathematics builds from simplicity to complexity and that a primary consciousness evolves within this mathematical construct.
A New Frontier And Innovative Idea.
Planck units. For three years, some precedent for the legitimacy of these Planck numbers was investigated. We began a literature search for anything with the words, “Planck scale” or “Planck base units.” A turning point was the discovery of a series of three articles, “Scaling Mt. Planck” which was the 2001-to-2002 work of Frank Wilczek (MIT) in Physics Today. In his office and at his blackboard, Wilczek personally encouraged us to continue our studies of the Planck numbers. By 2015 and 2016 we had compiled the simple progressions of the all four of the Planck base units so we could follow the logic of doublings or base-2 notation.
Emergence. We also discovered the extensive work done to follow the 1957 publication, “Cosmic View: The Universe in 40 Jumps” by the Dutch educator, Kees Boeke. There was a precedence! Old friends, Philip and Phylis Morrison (MIT), had written a coffee-table book based on it called, “The Powers of Ten: About the Relative Size of Things in the Universe.” By using base-2, our work would be more gritty, yet it also begged questions about doublings. In our initial analysis of key numbers used to define the universe (January 2016), we discovered sphere stacking, cubic-close packing, and the dynamics of tetrahedral-octahedral emergence from spheres (in light of the work of Luii Bianchi, Sophus Lie, Bob Coeke, and so many others). This area of research will be a key component of this RFP.
This proposal will investigate questions from ontology to cosmology, including the mathematics from the simplicity of the Planck scale to the complexities of astrophysics. It will follow-up the work done by Gibb et al within their recent publication, Routledge Handbook of Emergence, to shed more light on the question, “What is the path of emergence from infinity to pi to complex systems and to neuroscience?”
Self-funded. The non-profit organization, My Golden Rules (501)(c)(3) was started to support adult education, particularly focused on questions about infinity, time, death, and eternity. It is prepared to administer any funding that should result from this brief description and response to FQXi and FFF’s RFP for projects that are “…unlikely to be supported by conventional funding sources.”
Collaborations. Within the original formula for Planck Time, Max Planck defines space-time as a necessary relational nexus defined by light and each other. That simple formula appears to apply to every notation defined within our chart (see line 10). We will very selectively re-engage scholars with whom we have communicated in the past and engage those scholars who are experts within multi-scale modeling, the Planck scale, bifurcation theory (period-doubling), category theory, and those disciplines acknowledged on line 11 of our horizontally-scrolled chart.
Risks. Though this work has had over seven years of intermittent work, it has not been highly-focused nor critically reviewed. The primary risk is its naïveté and simplicity. Yet, John Wheeler’s work has encouraged us. In 1977 Wheeler sent me a personal copy of his “Frontiers of Time” to assist us in grappling with the 1935 EPR paradox and John Bell’s inequality equation. Our chart is perhaps the only chart that provides a mathematical definition of the earliest-possible, infinitesimal universe that begins to follow pi and the key dimensionless constants from their most simple expression within the first notation to their most complex within the 202nd notation.
For more, see: Intelligence in the Physical World: A Request for Proposals from two international foundations, FQXi & Fetzer Franklin Fund (FFF)