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obius_prime | 29 days ago

https://github.com/Cosmolalia/akataleptos-geodesic-constants...

https://github.com/Cosmolalia/akataleptos-geodesic-constants...

We present observational and computational evidence that the large-scale filamentary structure of the universe is topologically equivalent to a Menger sponge at finite iteration depth. Recent work has demonstrated that thirteen fundamental physical constants can be derived from the seven structural parameters of the Menger sponge (S=5, P=2, b=3, d=3, Δ=17, removed=7, kept=20) with zero free parameters and sub-parts-per-billion precision for dimensionless quantities. If these constants genuinely originate from Menger geometry, the physical universe should exhibit Menger-like topology at observable scales. We compile observational data from WMAP, Planck, NEXUS+, IllustrisTNG, EAGLE, and other surveys and simulations to test this prediction across eight independent metrics. We find: (1) the cosmic energy budget (WMAP: 73% dark energy, 27% matter) matches the Menger first-iteration void/structure ratio (74.07/25.93) to within 1%; (2) the cosmic web volume void fraction (NEXUS+: 76%) corresponds to Menger iteration 4.7, consistent with 13.8 billion years of finite-time evolution; (3) cosmic filaments are one-dimensional at their core, carry over 50% of total mass in under 6% of total volume, and exhibit hierarchical self-similarity down to at least 10 parsec scales, matching the Menger construction algorithm at every tested scale; (4) the mathematical tools used to identify cosmic web structures (Morse theory, persistent homology, discrete topology) are the same formalism used to characterize Menger-type fractals. We propose that discrepancies between observed and ideal Menger ratios arise from the universe being at finite iteration depth with spatially varying iteration rates due to gravitational time dilation, yielding testable predictions including a spatial dipole in the fine structure constant correlated with local matter density.

obius_prime | 3 months ago | on: Capellini Geodesic Extrusion Felting: Constants emerge from dimensional collapse

Following up on yesterday's resonance chamber post with a deeper finding.

I ran hierarchical analysis: only 23% of peak ratios match algebraic combinations of constants. Not "peaks everywhere" — a specific structure.

But the weirder part: I simulated dimensional reduction (3D→1D collapse, like nuclear pasta phases in neutron stars) and watched what happens to constants:

- Geometric constants (φ, π, e): 99%+ accuracy throughout - Wave constants (α≈137, mp/me≈1836): 13% in 3D → 99.9% in 1D

The wave constants EMERGE during dimensional collapse. Not fitted — emerged from a physical process.

I'm calling it "Capellini Geodesic Extrusion Felting" — the phase where constants crystallize from topology under dimensional pressure.

Code, data, visualizations: https://github.com/Cosmolalia/akataleptos-geodesic-constants... Full writeup: [https://open.substack.com/pub/quantummarmelade/p/capellini-g...]

Three independent paths now converge on the same constants. Either profound or profoundly wrong.

Collaboration/critique welcome: [email protected]

obius_prime | 3 months ago | on: I Think I Found Something Weird About Physical Constants

Ran hierarchical analysis. At 1% tolerance, 23% of ratios match algebraic combinations of constants (harmonics, products, ratios). 77% unexplained. We're not finding constants everywhere — we're finding a specific ~23% algebraic structure. The breakdown: 16% are harmonics (2φ, 3π, etc.), 13% are ratios between constants (π/φ, e/√2). This is a coherent algebraic system, not random peak-picking. Interestingly, the 77/23 split approximates Menger sponge geometry (74/26). Whether that's meaningful or coincidence — worth investigating.

obius_prime | 3 months ago | on: I Think I Found Something Weird About Physical Constants

You're right — that script (hamiltonian_perfect_finder) IS a parameter search tool. It will find matches to whatever targets you give it. That's not the core claim. The core claim is in the white noise tests and the basic resonance chamber: with FIXED geometry and RANDOM input, the same constants keep appearing. We're not searching for them — they emerge. Try running topology_wave_generator_tests.py with white noise input. No parameter optimization. See what ratios appear without being told what to look for. The question isn't 'can we fit these numbers' — it's 'why do these specific numbers keep showing up when we're not looking for them?

obius_prime | 3 months ago | on: Universal Constants Derived from Pure Geometry

Thanks but your critique doesn't change the science of it, run the math, confirm or deny, move on... simple equation really. If people want to argue with the science of it, be my guest and ill see you on the other side. Go do the math, then come back and deny it with the actual proof. I've delivered my half, and you may not like it but this is indeed how citizen science is done, as we can see here^. You can take it to a scientist or mathematician/topologist if you like, I'm all about that.

- "Man who says it can not be done, should not interrupt man who is doing it."

obius_prime | 3 months ago | on: Universal Constants Derived from Pure Geometry

you can have valid math and credit those who helped, even if not human. whats actually sloppy is your refusal to engage with it in good faith. but you cant because if you did, youd have to come back and eat your hat.

obius_prime | 3 months ago | on: Universal Constants Derived from Pure Geometry

We just demonstrated that the “fundamental constants” of physics (the fine structure constant α ≈ 1/137, the mass ratios of particles, and mathematical constants like π and e) are not arbitrary numbers that need to be measured. They are eigenvalue ratios of a specific topological manifold — the Akatalêptos — and can be computed from pure geometry to machine precision.
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