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Andrius Kulikauskas

  • m a t h 4 w i s d o m - g m a i l
  • +370 607 27 665
  • My work is in the Public Domain for all to share freely.

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  • 读物 书 影片 维基百科

Introduction E9F5FC

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Andrius Kulikauskas: Welcome! This is where I record my latest research notes.


Conference: Metaphysics and the Matter With Things. Thinking With Iain McGilchrist.

Michael Levin. David Resnik. Technological Approach to Mind Everywhere: A Framework for Conceptualizing Goal-Directedness in Biology and Other Domains

Hernan A. Makse, Paolo Boldi, Francesco Sorrentino, Ian Stewart. Symmetries of Living Systems: Symmetry Fibrations and Synchronization in Biological Networks.

https://www.theguardian.com/technology/2025/jun/09/apple-artificial-intelligence-ai-study-collapse

Artificial super intelligence alliance dedicated to decentralized Artificial General Intelligence (AGI). Formed in April 2024, the ASI Alliance unites SingularityNET, Fetch.ai, and Ocean Protocol, with CUDOS joining as a network member shortly after. The unified token $FET underpins a collaborative framework designed to scale open-source AI research, infrastructure, and development.

Outreach

David Albert on the arrow of time, distinguishing dynamical laws from initial conditions.

Qualia Research Institute

Veronica Pasquarella. QFT from Category Theory | Particle Physics for Mathematicians. (Part 1)

Klein-Gordon equation for a single particle gives the expected answer for probability current. But for probability density, it says it is proportional to the energy, which can be positive or negative. But then a negative energy implies a negative probability density. Does this relate to the pf"holes"?

Are branes related to the choicę framework of an observer?

Pamela Lyon, Fred Keijzer, Detlev Arendt, Michael Levin. Reframing cognition: getting down to biological basics basal cognition, primitive version of cognition

The Need for a More Complete Model of Intelligence

Consider determinism in terms of the choice frameworks. If the choice framework does not have us carve up space, then it proceeds deterministically, according to nature. But it could be that when the choice framework carves up the space, then this carving up is super deterministic, and to balance that out, it opens up an indeterminacy, which manifests itself probabilistically with regard to the Born rule. In this situation of "the process of measurement", the process is partly creative, because it is superdeterministic.

Relate the measurement problem (states, observables, measurements) and the three minds with the kinds of choice frameworks, whether we are carving up space or not.

Carboxylic acid is the bookend for the Krebs cycle. Is it related to the foursome, relating the two branches as two shifts? What is its role in amino acids?

https://en.wikipedia.org/wiki/Donald_D._Hoffman interface theory

Berggruen Prize for Philosophy and Culture laureates

  • Charles Taylor (2016); Onora O’Neill (2017); Martha Nussbaum (2018); Ruth Bader Ginsburg (2019); Paul Farmer (2020); Peter Singer (2021); Kojin Karatani (2022); and Patricia Hill Collins (2023).

https://en.wikipedia.org/wiki/The_Order_of_Time_(book) Carlo Rovelli

Pru Mendez. The Aiwon Code - Unveiling the Infinite Layers of E = mc².

Michael Levin https://files.osf.io/v1/resources/5g2xj_v3/providers/osfstorage/67a6189f05e0091426af4497?action=download&direct&version=1

Mathematical fonts

https://deepfunding.ai/terms/ gobbledygook

Overview, make sense of, and structure the purposes of the various neurotransmitters, human hormones and other physiological forms of signaling.

Obisidian organizing thoughts

Simon Grant. Types of thing in the world. Including links to ontology projects, his own and others.

John A. Shuster. “HeartMinds” in HeartMind space.

Wikipedia: Symmetry-protected topological order: A complete classification of 1D gapped quantum phases (with interactions)

Eckhard Meinrenken. Clifford algebras and Lie groups. Chapter 1. Symmetric bilinear forms., Chapter 2. Clifford algebras.

Marc Lachieze-Rey. Spin and Clifford algebras, an introduction.

John Baez explains in his notes on the tenfold way how the classical Lie groups (in the geometric embeddings) can be defined as the "unitary" elements of Clifford algebras, where the latter are {$*$}-algebras, where {$*$} maps generators {$e_i$} to {$-e_i$} and maps {$ab$} to {$b^*a^*$}. But this becomes tricky to calculate...

We have that Lie groups are the "unitary" subgroups of Clifford algebras (generated by {$e_i$} with {$e_i^2=-1$}) considered as "*-algebras" (* is conjugation). As we grow the Clifford algebras, the even part of the Clifford algebra equals the preceding one. So how is it that the Lie groups can be thought of as subgroups, in the opposite direction? What is the role of the halving of dimension? What is the role of commutation by the generator {$e_i=J_i$}? What is the role of anticommutation?

Are Rumyin's four real representations related to the Dynkin diagrams of the classical Lie groups (and how they interpret the symmetry in counting)?

Economics

  • Wanting to develop an alternative to a monetary system, we need to negate the functions of money, having what is not storable, not a focus of authority, not measurable, not a medium of exchange.
  • Subculture economics is a way of becoming inclusive and it is a meaningful inclusion because it is a subculture inclusion.
  • What Marcus pays attention to, which is solved in his dreams, can be something trivial or profound, and it is his choice which to focus on, just as a person who starts to think independently can choose between the current thought and an earlier thought she saved.
  • The four functions of money are based on ownership for the ideal participant, who is sovereign over the property of value and the sign of their authority gives where they are in the system.
  • How does the shrinking of the dimension of the Lie group relate to John's concept of culling and the factor 2?

In the ways of figuring things out, in the system 4+6 you go from the question to the answer so the arrows move from Why to How, What and Whether.

Algorithmic probability, a mathematical method of assigning a prior probability to a given observation.

Ray Kurzweil - cortical layers

Octonions are alternative and thus ŽDŽDŽ is associative but ABC... is not.

Geometry based on projective modules.See Daniel Chan on vector bundles.

How do classifying spaces relate to my video on Sheffer polynomials as space builders?

Building up Bott periodicity is a lot like building up a basis. The first vector can be anything. But with each new basis vector you have to check that its not dependent on the other ones. Similarly with the linear complex structures, or with the generators of a Clifford algebra, or in the iterated loop space, they come in sequence.

A circle is really a line with a point of infinity. It should be understand as a map relating to a point. And that point which is involved in that map, and the circle, they have a relationship. And together that seems what a perspective is all about.

A projective line is nondirected but it can be broken down into a line going forward and a line going backward. It is the same topologically as {$S^1$} but that is the difference being captured.

Gauge theories became even more attractive when it was realized that non-abelian gauge theories reproduced a feature called asymptotic freedom. (Comparw with threesome or fivesome)

Are symmetric spaces (quotients of Lie groups) related to Lie algebras and how?

Rudolf Steiner. Human and Cosmic Thought. Lecture II.

Daniel Friedman's relationship with truth relates the first mind's truth and the second mind's truth.

Clean Up

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This page was last changed on June 12, 2025, at 04:20 PM