Ero

Without explicitly trying to shit on Stephen Wolfram, I can't help it, so I will only say this - the 'hypergraphs' that he claims to have established as the basis for his 'fundamental theory' are in fact only a special case of a far more general and widely applicable structure - namely that of semi-simplical complexes. His 'hypergraph' is a semi-simplical complex of dimension 2, whereas one can generalize this for any dimension (including infinite) and actually make rigorous statements about them and their emergent properties, which is not something he has ever done. Why I am writing this? Because as it turns out, when one defines a random walk on a graph (i.e you start from a random vertex and with equal probability traverse any of the inbound edges), you can in fact infer many of its "topological and spectral properties, such as connectedness, bipartitness and spectral gap magnitude" ([ref]). The latter reference in fact generalizes this to any arbitrary simplical complex, allowing to represent much higher-order interactions. Why do we care? Because as it turns out, those structures sit at the basis of modern computer science [ref], as Avi Wigderson, an Abel- and Turing-prize winner, states. He has been at the forefront at the field of computational complexity and is someone who has actually revolutionized the field of Theory of Computation and Complexity, proving the equivalence between deterministic and randomized Turing machines (for which he won the Turing prize). TLDR: If you are interested about Complexity and Theory of Computation, study Avi Widgerson, not the crackpot Stephen Wolfram.

Echo chambers are a feature of Tier 1 dynamics. All stages craft dedicated psychological and social mechanisms (most often than not unconsciously) by discarding/rationalizing anything that doesn’t agree with that view. Religion is an apparent example, but science (currently orange) does this to spirituality and psychic phenomena. Green’s “cancel culture” is equivalent. The good thing no echo chamber is impermeable. All paradigms get replaced eventually.

Dang, I got Algebraic Topology then. Neuromorphics would go so much harder tho 😤

Covered impressive ground for my thesis. Discovered the following connection between the spectral behavior of heavy-tailed matrices and outstanding open conjectures in the field of quantum chaos/information theory: -Berry's conjecture (Berry 1977)/ Quantum Unique Ergodicity (QUE) conjecture - state that as one moves to higher energies (the semiclassical limit) in a quantum system, the eigenfunctions tend to delocalize and behave statistically like Gaussian random fields, corresponding to random superpositions of plane waves. The transition from delocalized to localized behavior (Anderson Localization) occurring past the mobility edge in Heavy-Tailed Matrices (Aggarwal 2022) finds direct parallels with Berry's conjecture - the delocalized region (the bulk in the spectrum) is described by the same type of Winger-Dyson statistics, applied to the high energy limit in Quantum Systems. Her comes the most interesting part: in contrast to the light-tailed (Gaussian) case for random matrices where QUE applies, the heavy-tailed case seems to go in the opposite direction of what is predicted by QUE, potentially pointing to a counter-example that would disprove the latter conjecture by constructing a quantum system with heavy-tailed behavior. This is a very early and very informal inkling that I have, but it exactly aligns with the larger recontextualization of 'chaos' and 'entropy' - whilst the standard scientific intuition for what those mean (going from order -> disorder) applies to equilibrium systems, exactly the opposite seems to occur for non-equilibrium systems (our planet, every life form and organism are out-of-equilibrium systems). One for the most recent Kurzgesagt videos about the total biomass of the Deep Earth biome exceeding that of the surface earth organisms by multiples seems to be another nail in the coffin of the idea that life is entropically-improbable. Turns out, exactly the opposite is true (Earth's crust is more entropic by a factor of base 10)

Definitely both. I regularly check the blog as a unique source of epistemic novelty. Even though currently I don't have time to watch videos, it is nice to have high quality references to come back to, considering the difficulty in finding the latter among the sheer noise of brain rot content. The more you post in general, the better. I have found that even noting down a sentence/ paragraph can become fertile ground for an idea/ connection I make in the future. You can treat your blog as exactly that - a stream in consciousness you can reference and build on top. Adding tags or identifiers for the topics/ ideas discussed creates continuity that can be helpful if you decide to further develop an idea.

When you do not live in a politically-stable environment, following/understanding politics becomes essential. Understanding 'geopolitics' is a key component for the survival of many small nations, sandwiched between superpowers.

@Leo Gura Monk lifestyle will not work on anyone who is hyper-ambitious and driven. I tried the monk lifestyle for half a year, but the internal frustration was growing too strong. For me, being a Tier 2 stage thinker/ scientist at the helm of a transformative tech company (both structurally and technologically) is far more fulfilling due to the direct impact I can have and the actualisation of my gifts - I receive what I can only call spiritual insight into the nature of mathematics and physical systems. I would say this is even more intense, since for the last month I have averaged 11h of deeply technical work per day. Fulfilling in every way possible tho.

My bad, this is my last off-topic response How about you actually read the book for once and abstain from making statements about mine or any one else's understanding. The level of epistemic laziness on this forum sometimes baffles me. I quote from THE Book on Spiral Dynamics: p.216 "When properly handled, this raw self-assertive power [of red] contributes to a positive sense of control, lets the group break from constraining pro forma traditions, and energizes a society to reach for the very ends of the Earth." p.222 "Then, carefully managed programs converting unhealthy to healthy RED can be introduced – the discipline of martial arts,...Lessons in finding Blue moral anchors .... can only take root if the ground is preprard through healthy Puprple and Red-based building." Where are your references?

Wouldn’t say religion is healthy. Look at what it does to the middle east. Discipline and confidence that you can handle a hairy situation are entirely different. One thing is to memorise paragraphs, another is to work your ass in the gym until you can’t breathe. In life and death situations, it saves lives. I myself have had a few of those. Wouldn’t expect most people here to understand.

Nowhere did I mention competition. MMA is a sport, not a promotion. I grew up surrounded by street kids/ ultras - if you didn’t know how to fight, it would be really bad. As I said, I describe very specific environments few of you Westerners have ever experienced.

Consider epistemological anarchism more as an intermediary phase transition when the previous system loses ground (Tier 1-> Tier 2). You are encountering the issue of lack of “absolute truth” in the epistemological sense, seeing the failure of the previous stages. However, there is light at the end of the tunnel. Even now you can verify not all knowledge is created equal - what is a flat earth with earth-centric celestial mechanics vs a helio-centric vs galaxy-cluster level awareness. So there is a way out of epistemological anarchism, but only through careful study and examination of the epistemological and metaphysical basis of that paradigm - the homework Tier 2 has to do to not fall in the traps of Tier 1. Solipsism is more of an ontological statement, so it isn’t directly related to the subject of knowledge.

You are asking very important and deeply non-trivial questions. My suggestion is for you to familiarise yourself with the field of epistemology and to some extent metaphysics. To not delude oneself is exceptionally hard. My current paradigm is somewhere along the lines of knowledge being a generative model of a fundamentally intractable/chaotic world (with the goal of minimizing surprise= maximising entropy) . All knowledge is fundamentally incomplete and relative to the metaphysical assumptions. That doesn’t mean all knowledge is created equal - you can compare paradigms using statistical methods of hypothesis testing (establishing only relative truthfulness, nowhere is it “absolute”) by sampling the outer world. Unlike many, I would make the distinction between “knowledge” and direct experience. The latter informs the former but there is a significant “loss”/compression that is required to extract anything meaningful (i.e the principle of abstraction)

LOTR/Hobbit were first my favourite books and later movies when I read/watched them at 11-12. I would understand why grown men and women don’t find it appealing, I believe there is an age to be exposed to it. They still have a special place in my heart, but I have to say, respectfully, outside of an aesthetic, RoP was horrendous.

MMA/ Fighting sports are the only thing that can help stage Red to transition to Blue in a healthy manner. For certain populations, the alternatives are worse.

Use different passwords with MFA on top. Don’t click unknown links. Use Brave Browser for most of your stuff. Set it so you automatically reject cookies.

The serpent is largely misunderstood due to Christianization. It signifies wisdom and is an original chtonic deity for very many of the most ancient cultures. Greeks didn’t understand the Orphic mysticism, which is why they dubbed it an “orgastic cult”. They could never open up to the matriarchal and entheogenic -rooted practices of the Thracians:

Why the serpent hate? Аз съм от рода на змея - Загрей и Сабазий.

Your underlying psyche communicates in images/vision/intuition of things that are already familiar to you (Jung’s psychoanalysis). The goal of Leo’ s course is to clear them up through contemplation. The thing is, your baseline experience influences greatly “the fidelity” of those visions. By going out and trying different things, you gain new “colors” to add to your larger vision that would have previously not been accessible. For example, Learning is a baseline value for me as well. It started as a genuine interest in the world, especially physics and mathematics. By doing research for the first time in HS, I realised I want to be at the forefront of human knowledge. I learned through leading large-scale educational projects, however, that I also want to see its impact on the world. After moving to the US to study, I realised that as a highly risk-tolerant and hyper ambitious individual, employment at prestigious companies and/or NGOs is too restrictive and boring for me. From working on a startup, I realised that the only way to truly create something disruptive is to have a “moat” from a deeply technical field - hence full cycle back. At each step, I gained better understanding of what my purpose entailed, none of which I take to be complete. Think of it as a process of exploration, where your experiences are the feedback you can use to “reverse-engineer” the source.

I see now. This may be an indicator you have to revisit it some point later when you have more life experience, s.t. you can better pinpoint its form. It has been a slow crystallisation for me.

I can also write “dick” on your face, but that doesn’t make you dickface now, does it?

False. I do shit even when I have absolutely no “motivation”. Some of it is because you just have to. To be clear; I understand what you mean, but your framing of “motivation” is rather different than all the resources you would find and how people use the word in general. Reframing it as different than life purpose and discipline is what allows you to realise that even at your shittiest days, you can still work like it’s your best one. Your life purpose gives you a drive far stronger than any gimmicky trick or visualisation technique could. I mean it, when I dropped the need to be “motivated” is when I started excelling. I am a self-made millionaire studying in Ivy, who started from a shitty country and an exceptionally poor family. Not saying this to flex, but rather to show you that I am not just chatting shit. Study Jocko Willing and David Goggins.

Digging down the rabbit hole of the von Neumann algebras, I discovered the work of Alain Connes, the Fields medalist who set the rigorous foundations for the Type III von Neumann algebras. He is the architect of the field of noncommutative geometry, building on top of John von Neumann's work by reframing Riemannian geometry through a spectral triple of a Hilbert space H, the algebra of operators A on it and the unbounded operator D. The following are my notes from his expository papers noncommutativity and physics and noncommutative geometry: the spectral point: - The encoding by noncommutative algebra retains more information than its commutative counterpart - similar to how a word requires an exact ordering of symbols instead of an Anagram. - Noncommutative spaces are dynamical, and possess a canonical time evolution, or as Alain puts it, "time emerges from noncommutativity". They can in fact be considered as thermodynamical object (possessing entropy due to this precise temporal directionality) - The Riemannian geometric paradigm is extended to the noncommutative world in an operator theoretic and spectral manner. This means that the entirety of current Differential geometry (the basis of all physics phase spaces) can be embedded within this larger paradigm (in line with the Hamiltonian/Langevin formalization direction) - A real variable is just a self-adjoint operator in a Hilbert space - this is what will in fact allow for the categorification of any random/probabilistic system and is in fact already being done using the exact tools Alain used (Tomita–Takesaki theory) as part of this lager categorification of probability theory This is extremely encouraging. The amount of endorphins in my brain from seeing all the connections is truly unparalleled.

There are certain movies that deserve Goat status just based on the historical precedent they have set. Majority of people who have watched '2001: Space Odyssey', for example, say it is overrated without realizing that only thanks to it are there Star Wars, Star Trek, etc. The sheer technological innovation and story building by Kubrick and Arthur C Clarke is phenomenal. Even though I thoroughly enjoyed Interstellar, it is nowhere close to GOAT sci-fi movie. That is hands down the former. Alien by Ridley Scott has a similar position for cosmic horror.

Bladerunner 2049 is spectacular. I had a full spiritual experience after I finished, realizing that what we deem 'human' is a construct changing with our conscious evolution. There isn't a clear 'separator' from ape to man, it didn't happen overnight. As is there no separation from human and what can only be considered Alien/Godhood, so might as well embody it now.

There are two factors that have a much larger effect on your long-term life situation than motivation, namely your life purpose and discipline. Motivation is fleeting, whereas the latter two should be the baseline. I work 10h+ days and it’s not out of “motivation”.