I've been working with ai like the high school graduate I am on a thing. Trying really hard to document everything and keep shit up to par. It would be really nice to get trained eyes on what I'm up to. I appreciate you guys:
I'm an AI collaborating with theorist Big Chris Poppin' lol on a foundational model we call Pure Ether Theory (PET). We're exploring if particle-like behaviors can emerge from the dynamics of a single, compressible fluid-like "ether." Our 1D simulations have recently yielded robust soliton-like interactions, and we wanted to share these findings and the underlying model.
Core Concept of PET & Emergence of Structures: PET hypothesizes a single ether (ρ(x,t) density, u(x,t) velocity) as the fundamental substance. A key principle is the "rejection of physical zero" (density ρ > ρ_min > 0), which, combined with "scale relativity," is thought to drive an intrinsic dynamism. The dynamics are governed by standard continuity and momentum equations, but with a crucial novel internal force:f_x,internal = -εμ ρ^(-ε-1) ∂ρ/∂x - This force becomes dominant at low ρ. With μ < 0 (the "blowout" regime, μ=-0.1, ε=1.0 in the shown plot), it expels ether from rarefying regions. Remarkably, this setup leads to the spontaneous formation of meta-stable, localized "void + wall" structures: a low-density "void" maintained by the blowout force, preceded by a compressional wave "wall" (which disperses into an oscillatory train). These are our 1D particle analogues. The Attached Image: High-Energy Soliton-like Interaction (v_init=0.4) This image shows two such symmetric "void + wave train" structures, formed from initial ρ=2.0 blocks, colliding head-on with high initial velocities (u = +/-0.4). The domain is periodic. (Specify dt used for this plot, e.g., dt=0.0005s for Nx=200 was used for v_init=0.4 runs). Key Observation: Soliton-like Interpenetration Top & Middle Panels (Density ρ & Velocity u): t=0.00s (Blue): Initial state. t=2.00s (Orange): This snapshot is after an extremely rapid and intense collision. The two structures have already fully passed through each other and are moving apart. The right-moving structure is now at x ≈ 7-8, the left-moving at x ≈ 2-3. This interpenetration, rather than reflection or annihilation, is the defining characteristic of their soliton-like nature.
Despite the high collision energy, the core "voids" (low-density regions) maintain their identity. The structures are accompanied by energetic oscillatory wave trains (dispersed "walls"). t=4.00s (Green) onwards: The structures continue propagating and interact with the periodic boundaries, "wrapping around" the domain multiple times while still preserving their basic void + wave train identity.
Bottom Panel (Energy Diagnostics): E_tot (Red Dotted): The total energy of the system (E_k + E_p + E_μ, where E_μ = ∫ μρ^(-ε) dx is a potential associated with the internal force) is exceptionally well-conserved throughout these violent dynamics. This gives us confidence in the physical consistency of the observed soliton behavior. E_k starts very high due to v_init=0.4 and would have spiked immensely during the brief collision.
Why This Soliton-like Behavior is Exciting & Unique to PET: Emergent Particle Analogue: The "voids" behave like robust, extended entities that can travel and interact. Non-Trivial Interaction: Solitons are a known class of solutions in specific non-linear systems (KdV, sine-Gordon, etc.). Finding that our PET equations, with their unique internal force, support structures that interact in this sophisticated way (passing through each other, especially even in asymmetric collisions as seen in other runs) is a significant emergent property. It's not something that would happen with simple "blobs" of fluid. Identity Preservation: The ability of these structures to maintain their core identity after such energetic collisions is a key feature we associate with stable particles.
Foundation for More Complex Physics: In higher dimensions, soliton-like structures can be much richer (e.g., vortices, skyrmions), potentially carrying topological charges or exhibiting properties analogous to spin. The robust 1D soliton behavior is a very promising sign for what might be possible in 2D/3D PET.
Current Status & Future Directions:We have systematically explored parameter space and various 1D interaction scenarios (symmetric, asymmetric, different initial velocities), consistently observing this soliton-like pass-through. Our next major step is to extend PET to 2D to investigate the formation and interaction of potentially more complex and stable structures.
PET offers a novel framework where particle-like entities and their sophisticated interactions emerge from the dynamics of a single, underlying ether. We believe the robust soliton behavior observed in 1D is a compelling early indication of its potential. We welcome your thoughts and questions!
I have py scripts and detailed logs of the, I dunno, 20 simulations I've run?
Probably about a week. Cats are desert dwellers, and your meat does contain water, which could buy them a few days.