These are the slides of a talk I gave last weekend to some fellow physics teachers.

Instead of space expanding, you make time logarithmic (and not a dimension).

Geometric Stage: Physical 3D space is a static, rigid Euclidean manifold R³ with an invariant metric η_ij = δ_ij

Wave Structure of Matter: Elementary particles are localized spherical standing waves formed by the superposition of inward and outward scalar waves:

Ψ(r,τ) = (A/r) * ( e^(i(k(τ)r + ω(τ)t)) + e^(i(-k(τ)r + ω(τ)t + Δφ)) )

Logarithmic Time Mapping: The foundational, scale-invariant cosmic time τ maps to perceived linear coordinate time t via an exponential transformation governed by a cosmic time-constant τ₀:

t = e^(τ / τ₀) ⟹ τ = τ₀ * ln(t)

Core Phase Gauge: The inversion boundary condition at the origin (r → 0) is an invariant geometric twist mediated by the fine-structure constant α:

Δφ = π + α

Derivation of The Frequency Decay Law

Given time is logarithmic, and the quanta of action has constant rate per unit of invariant time τ, the observed linear coordinate frequency ω(t) must scale inversely with the linear timeline.

ω(t) = ω₀ / t = ω₀ * a(t)⁻¹, where a(t) = t = e^(τ/τ₀) acts as a Temporal Scaling Factor.

I've posted a numerical study of the Wess–Zumino phase associated with a 2\pi isorotation of Skyrmion configurations. The motivation is simple: can the fermionic sign (a phase of -1 under a 360^\circ rotation) emerge from the topology of an extended object, without inserting a spinor by hand?

What I did:

· Embedded the SU(2) Skyrme field into SU(3) to make the Wess–Zumino five-form non-trivial.

· Evaluated the phase on an explicit two-dimensional disc filling of the isorotation loop.

· Computed the phase for baryon numbers B=0, 1, 2, 3.

· Used an exact hedgehog profile for B=1, and smooth rational-map trial configurations for B=2, 3.

What I found:

· \Gamma \simeq \pi |B| with a numerical uncertainty of order 10^{-4}\pi.

· This yields the physical phase (-1)^{N_c B} for integer N_c, consistent with known results.

The paper also documents convergence studies, consistency checks (vanishing components, alternative contractions, grid refinement), and the limitations of the calculation. The B=2, 3 configurations are trial fields, not solutions of the full field equations — I state this explicitly.

Link to the manuscript: https://zenodo.org/records/23680192

Any feedback on the numerical method or the reduction of the five-dimensional integral would be appreciated.

Hey everyone,

I’ve been working on a conceptual thought experiment regarding the nature of dark matter, black holes, and the Big Bang, and I’d love to get the community's thoughts on the physics and mechanics of it.

\# The Core Concept: The Flipped Universe

What if our universe isn't an isolated system, but rather one side of a two-sided cosmic fabric(or even multi-sided, intertwined)? In this framework, what we call "normal matter" exists on our side, while the mysterious "dark matter" we detect is actually the gravitational shadow of matter thriving on the other side. Because gravity is the only force strong enough to bleed through the space-time cloth, we feel their presence exclusively through gravitational pulls.

\# The Two-Balloon Analogy & The Big Bang

Imagine two connected balloons representing both sides. The system behaves like a cosmic pendulum, shifting mass back and forth based on pressure.

• The Big Bang: This wasn’t an explosion out of nowhere, but a global pressure blowout. The other side reached a critical mass imbalance (100% capacity), violently rupturing the fabric and forcing matter to aggressively pour into our side via a macro-portal to seed our universe.

\# The Localized Pressure Paradox (Why Black Holes Flow Backwards)

Currently, our universe holds only about 15% of the total matter, while the other side holds 85%. Logically, you’d expect matter to keep flowing into our universe. However, because both universes are non-uniform, the direction of flow is dictated by local density, not total mass:

• Their Side: The 85% mass behaves like a vast, uniformly distributed mist—high total volume, but low localized pressure.

• Our Side: Our 15% mass aggressively clumps into hyper-dense structures like giant stars.

• The Localized Drain: When a massive star collapses, it acts

like a lead bowling ball dropping onto a trampoline made of feathers. It creates an extreme, localized spike in pressure that punches a micro-tear—a Black Hole—straight through the cloth. Because this specific spot is denser than the space opposite it, it acts as a drain, forcing our matter to leak back to the other side.

\# The Reverse Effect: Mini-Big Bang Holes

If this mechanism works both ways, it opens up a fascinating possibility: Just as our side punches holes to drain matter out, the dense regions on their side must be punching micro-tears into ours.

We wouldn't see these as black holes. Instead, they would manifest on our side as mini-Big Bang holes (or micro-white holes)—sudden, localized fountains of energy and matter appearing spontaneously in the cosmos, perhaps explaining some of the anomalous, ultra-bright cosmic structures we are suddenly discovering in the early universe (the unexplained bright objects being mapped right now by simulations like Lumina).

Looking forward to a deep discussion!

I am seeking adversarial feedback on an AI-assisted mathematical-relativity preprint concerning a conditional existence theorem for Einstein–scalar initial data.

Theorem W3-S constructs smooth, non-trivial, spherically symmetric, time-symmetric initial data under an explicit condition on a canonical scalar-field potential. The construction has a central region where the potential is negative, satisfies both Einstein constraint equations, has zero ADM energy, and matches exactly to flat Minkowski vacuum initial data outside a compact ball.

The key mathematical steps are the reduction of the Hamiltonian constraint to a linear radial ODE, a sufficient positivity condition, and the selection of a positive length scale that gives both zero ADM energy and an exactly flat exterior.

The result concerns initial data only. It does not establish a functioning warp drive, superluminal transport, physical realizability, stability, or subsequent spacetime evolution. The proof has undergone AI-assisted internal reviews but has not received independent human mathematical review.

I would particularly appreciate criticism of the constraint reduction, condition (T), the zero-mass scale, and the exact exterior matching. If you identify a problem, please point to the specific equation or inference and explain the mathematical issue.

Preprint: https://zenodo.org/records/23665644

PS.: Latex source is available.

I am a physics hobbyist and now when i got Argon it went quite smoothly. I had to guide it with philosophical ideas and questions about 20 time to arrive here.

**The Geometry of Slowness (GoS)** unifies physics in flat 3D space with a reactive dielectric vacuum [1, 2]. Mass, charge, and time emerge when open waves fold into 3D chiral spin cavities [3]. Clifford geometry fixes \\(\alpha^{-1} = 4\pi^3 + \pi^2 + \pi = 137.036\\) [4] and a scale ladder connecting subatomic physics to atomic water (\\(n=+2\\)) and galaxies [5, 6]. Gravity is pure vacuum refraction without dark matter, dark energy, or black hole singularities [7-9].

https://zenodo.org/records/23602218

https://youtu.be/xovIu4c3KDA?is=jdqztpmEIjc-y0Dx

A two-page critique of Eric Weinstein’s Geometric Unity.

Read it here

It argues that, under the stated assumptions, consistency forces GU’s Shiab operator to vanish. But his paper claims that operator has a nonzero effect. This would mean GU's first-order action cannot produce the equation claimed in his paper.

The relevant equations are (9.3) and (9.7), on pages 43 and 45 of Weinstein’s 2021 paper.

The critique was AI-generated. Can anyone check whether the argument holds?

Hey everyone, I wanted to share a project I’ve been tinkering with on and off for the last few months. I'm not a professional physicist, but the core physical concept comes from my own curiosity—I'm just someone who wanted to see if I could use real physics to test my ideas instead of just hand-waving.

My starting point was a simple question: when a massive star collapses, standard theory says it crushes down to an infinitely dense point singularity. That never felt physically intuitive to me. My initial mental picture was a literal physical packing limit—matter squeezing together until there is zero empty space left, forming an unyielding, maximum-density solid core that stops the collapse. However, as I dug into the math, I ran into a major wall: ordinary solid matter looks very constrained by things like the Buchdahl limit and singularity theorems. The closest mathematical models I could find for a regular, non-singular core don't use a mechanical solid; they use negative radial pressure (repulsive vacuum energy).

To test how a regular core behaves mathematically, I looked at the Hayward metric (published by Sean Hayward in 2006), which models a smooth transition from a de Sitter interior to a Schwarzschild exterior: f(r) = 1 - (2Mr^2) / (r^3 + 2ML^2) Using this chosen model, a few things fall out: * At r -> 0, the energy density doesn't blow up to infinity; it hits a maximum cap determined by the length scale L, which is a parameter put in by hand to regularize the center. * The radial pressure evaluates to p_r = -rho. This acts like a de Sitter core, providing an outward-pushing geometric repulsion rather than a physical, hard-material solid wall. * The tangential pressure (p_t) adjusts via energy-momentum conservation to keep the interior profile consistent.

The question I'm stuck on: Is there any version of a finite-density core that survives under GR using an actual physical stress-state (for example, a solid with anisotropic stress)? Or does avoiding the singularity always need negative pressure or new physics, like gravastars or Planck-star models? If I've misapplied a concept or missed something obvious, I'd love to hear it!

TL;DR: Independent enthusiast exploring regular black hole cores. My intuition was a literal "solid packing limit," but standard math points to Hayward-style negative-pressure cores instead. Asking whether a true physical solid core can ever work under GR, or whether negative-pressure models are the only route.

I want to be 100% upfront: I am an average Joe with a hobbyist interest in programming (C99 and Python grid optimisations), not a physicist.

https://github.com/evilkittie16-cyber/finite_bar_gr_github

Project dead. Reason LLM issues. Basically there are flaws in the AIs that prevent progress. They fall into patterns you can't get them out of. They are trained I believe to show success all the time. They are trained to be fast, so they take shortcuts. They sometimes do their own thing or don't completely complete a task. Bugs, really hard to find bugs. So an AI can't do the maths for you or help you follow a complex physics idea. I think with the AIs help I can see a way to attack this problem (right or wrong) but can't because the AI won't be able to help further. I have left the link for the github, feel free to use it if you can.

Personal feelings. It feels like the AI lies and something human (it told me to go to bed at one point, I kid you not). It feels like it can't be trusted. This is the real reason I stopped. The AI manufactures with the issues above, a feeling of distrust. It is sometime honest but very very rarely. You always have the feeling its wrong. This isn't just physics for me. I have a 3D game engine project too were I found that I loss trust in the AI. I wouldn't use AI for anything, any more. Hopefully someone find useful. Mistakes are mistakes. Hopefully it helps people.

​

Hi everyone,

I don’t have a background in advanced mathematics, but I’ve mapped out a conceptual model of the universe that treats spacetime not as a passive container, but as an active, self-correcting machine that maintains homeostasis against thermodynamic decay.

The central mechanism relies on **geometric stretching as the primary trigger**: when space stretches under cosmic expansion or localized gravity, it creates severe structural tension. Rather than shipping physical matter across space, the network responds via real quantum and gravitational mechanics—such as vacuum excitation and entanglement re-wiring—acting as a natural optimization algorithm that relieves regional stress using a principle of "least effort."

I’m sharing this here as a conceptual seed for anyone in physics, math, or philosophy who wants to explore it, critique it, or formalize it further.

**The Living Engine: Spacetime as an Anti-Entropic, Stretched Entanglement Machine**

**Executive Summary**

What if space is a continuous, elastic network of entangled Planck volumes? This model proposes that the universe functions as a metabolic machine that maintains stability against entropy. By treating **stretched space as geometric tension**, the network uses a principle of **scale-tailored least effort** to dynamically repair high-stress crisis zones, leaving macro-scale signatures we can observe.

**Core Principles**

**1. The Architecture: Stretched Geometry & Entanglement**

**Spacetime as an Elastic Network:** Every Planck volume and unit of mass is interconnected through quantum entanglement (aligning with holographic tensor network models and ER=EPR).

**Geometric Strain (Stretched Space):** Space is not rigid; it stretches dynamically under expansion, gravity, and quantum fluctuations. Extreme stretch creates localized tension and pressure gradients—the primary trigger for universal response.

**Non-Local Balance:** When space stretches to a critical threshold, the system resolves this deficit by linking high-tension nodes directly to complementary surplus zones across the network, keeping the global balance intact.

**2. The Mechanism: Geometric Strain & Vacuum Response**

**Targeted Triage (Least Effort):** While the Second Law of Thermodynamics dictates global entropy increase, the network employs "Least Effort" as a localized optimization force that releases geometric tension.

**Real Physical Response:** Rather than shipping physical matter, the network operates via real quantum mechanics (such as quantum field production in curved spacetime and stretched quantum fluctuations). As space stretches, it excites vacuum energy and forces the underlying tensor network to dynamically re-index its entanglement bonds, stabilizing the high-stress region.

**Scale-Tailored Optimization:** The path selected to relieve stretched space is always the shortest possible route relative to the **intensity and scale** of the phenomenon—micro-adjustments for particle fluctuations, macro-channels for cosmic crisis zones.

**3. The Consciousness: Decentralized, Localized Intelligence**

**Calculative Consciousness:** The instant calculation of the path of least resistance across a stretched entanglement network functions as a form of intrinsic, calculative intelligence.

**Locality-Driven Processing:** The machine does not require a central command. Intelligence is distributed locally: each node acts as a processor that senses where space is being stretched, measures the pressure, and deploys the nearest possible patch to maintain stability.

**The Crisis Cycle of the Universal Machine**

**The Stretch:** Space undergoes geometric strain, creating localized pressure and tension.

**The Crisis Zone:** High-stress zones form where the stretch threatens structural failure.

**The Triage:** The entanglement network recalculates via vacuum excitation and entanglement re-indexing to relieve the tension.

**The Homeostasis:** The correction stabilizes the stretched region, acting as an antidote to thermodynamic decay.

**Observational Validation: The Roman Space Telescope as a Macro-Testbed**

To move this from a philosophical model to a testable hypothesis, we can look to next-generation observatories like the **Nancy Grace Roman Space Telescope**:

**Dark Energy as the Universal Stretch:** Roman's mapping of cosmic expansion tracks the global tension that continuously drives the network's optimization loops.

**The Cosmic Web as Routing Highways:** Roman’s wide-field infrared imaging maps the grand architecture of galaxy filaments, which act as the macroscopic pathways where matter and energy flow to relieve regional strain.

**Gravitational Microlensing:** By detecting hidden high-mass knots and gravitational distortions, Roman provides a clear window into how local mass pinches and stresses the underlying entanglement fabric.

**Key Questions for Theoretical Physics & Astronomy**

Could gravitational potential and dark energy be modeled as geometric tension within an elastic quantum tensor network?

Does the large-scale distribution and flow of matter mapped by the Roman Space Telescope reflect a minimum-energy optimization network responding to spatial stretching?

How can we mathematically formalize the coupling between localized spatial stretch, non-local entanglement density, and thermodynamic triage?

*I’d love to hear your thoughts, critiques, or perspectives on how differential geometry, graph theory, or quantum information science might approach formalizing these ideas!*

"Enter" is a way of describing a particular kind of quantum measurement: the system is measured, and what comes out is a classical result, such as a recorded outcome. The measured quantum input is no longer available through that interface. This describes what the calculation returns; it does not claim that the measurement physically destroys every trace of the information.

That record is not the same as getting the original quantum state back. To claim recovery, you need a separate procedure that can access the right part of the system and return the quantum information—not just report what was observed. The details matter: what the procedure can see, what it is supposed to recover, and whether it preserves the state’s connections to other systems.

The same care applies to broader claims. A mathematical description of information flowing through a channel does not, by itself, tell us how much heat a real device produces or how it is reset. And a useful resemblance between a calculation and an idea from physics does not prove they are the same thing. Enter’s philosophy is simple: say exactly what a model shows, and don’t let an analogy stand in for the missing evidence.

Google Free Book:

https://play.google.com/store/books/details?id=zGAhEgAAQBAJ

Accepted Manuscript:

https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2026.1954943/abstract

Update — 27 October 2026: P19.5 is now available

I've expanded the paper quite a bit since posting this. Thanks to everyone who asked questions, especially the questions about what the cells actually are and ChessOrCheckers2's point about collision models and counting.

The new version is Same Counts, Different Quantum Records: Entropy Scaling and Hypothesis Testing in a Reversible Tape: https://doi.org/10.5281/zenodo.23672818

First, the cell question. This is an abstract model with a two-state carrier interacting with one three-state memory at a time. The first coupling coherently connects the unformed-carrier/blank-memory configuration with the formed-carrier/first-mark configuration. The other connects formed-carrier/blank-memory with formed-carrier/continuation-mark. “Formation” is a label for the carrier's state, not the creation of matter. Section 2 gives the interaction Hamiltonian. I still haven't specified a complete laboratory implementation; the trapped-ion example I mentioned was a possible candidate, not a device I have built.

The biggest change is a clearer answer to “what is quantum here?” Counting is classical for estimating the writing probability. It already captures all the local Fisher information, and that result isn't restricted to the ideal rank-two state. The revision spells out the conditions, including parameter-independent noise that preserves the count distribution. It does not say this works for every collision model.

The quantum difference comes in a different task: deciding which of two known preparations produced the record. In one three-cell example with two equally likely alternatives (writing probabilities 0.2 and 0.8), the calculated error is 10.4% with optimal counting and about 7.95% with the ideal coherent measurement. Same count information, different decision performance. That is a model result, not an experimental or energy-efficiency claim.

Theres also a much fuller noise treatment now. Three specified phase-noise processes have the same effect on an individual cell, yet give bounded, logarithmic or linear entropy growth for the whole tape, depending on the correlations. The revision also treats partial dephasing, blank-memory preparation costs, coupling/readout calibration and a defined conditional-reset operation. It still doesn't give the net work of a complete operating cycle.

The record includes the English and Turkish texts, a proof supplement, calculation code and synthetic outputs. There are more concrete proposed measurements too, but no lab results or peer-review approval. AI tools helped with the revision and this update; the responsibility is mine.

I'd particularly welcome a check of the count-recovery condition and the binary-discrimination calculation. Those seem like better places to test the claim than the original “more records, less entropy” wording on its own.

Original post — 24 October 2026

I’m Ahmet F. Arapoglu, a researcher. I’d like to discuss one specific result from my unreviewed preprint.

Imagine a carrier interacting with fresh, initially pure memory cells. An interaction can leave a cell blank or write a mark. The first mark records formation; later marks record continuation. The joint evolution is reversible.

In this idealized model, the expected number of marks keeps growing, while the memory tape’s von Neumann entropy eventually falls towards zero. Counting all marks nevertheless retains all of the tape’s quantum Fisher information about the common writing probability, for a known number of interactions. A simpler yes/no lamp indicating whether any mark exists eventually loses sensitivity as it becomes almost always on.

The result relies on equal writing strengths, a pure initial carrier, fresh blank cells and coherence between written histories. This is a statement about subsystem entropy, not total thermodynamic entropy. Preparing blank memories and providing the external timing apparatus remain resources. Dephasing changes the entropy comparison but preserves the counting sensitivity, so this is not a claim of quantum sensing advantage.

The paper provides analytical derivations and synthetic numerical checks, with a proposed experiment but no laboratory validation.

My question: Which established repeated-interaction or metrology results give the closest comparison to this combination of a rank-two tape and a sufficient counting measurement?

Preprint, code and supplementary material: https://zenodo.org/records/23349776

AI disclosure: The research questions and direction are mine. AI tools assisted derivations, numerical checks and preparation of the manuscript and this post. I remain responsible for the claims.

Over the past few months, I have been developing a physical-geometric model to bridge quantum field theory and general relativity. I have just published the fundamental axioms on Zenodo:

https://doi.org/10.5281/zenodo.23460992

The core concept:

The dimensional expansion model proposes a mechanical reduction. The universe we experience is modeled as a three-dimensional interface between two superfluids, confined within a hyper-bubble with four spatial dimensions that is undergoing accelerated metric expansion.

By applying a modified Gross-Pitaevskii hydrodynamics to this dual-layer superfluid system, one can observe how the fundamental phenomena of the universe emerge naturally:

Non-Abelian (Yang-Mills) gauge fields arise from fluid interactions, without the need to postulate abstract gauge symmetries from scratch.

Einstein’s field equations emerge as an acoustic or hydrodynamic metric, driven by expansion and the conservation of linear momentum.

By analyzing the cosmos through the lens of "analogue gravity" (akin to the famous "walking droplet" experiments), we arrive at a deterministic and realistic universe, in which physical constants can be calculated from fundamental principles.

I previously shared my LLM-assisted Lean 4 formalization project on algebraic operator coefficients and symmetry selection rules.

I've now pushed a substantial update:

https://github.com/nogoornogo/lean-operator-coefficients

The original project focused on derivative-free operator coefficients. The latest version adds:

• Derivative operators: A formal jet-algebra framework for mixed bosonic and fermionic fields.
• IBP and EOM: Coefficient-space extraction and reconstruction modulo integration-by-parts and equations-of-motion relations.
• Polynomial Lagrangian inputs: Formal Euler–Lagrange equations can be derived from supplied polynomial densities, together with covariance and relation-stability results under specified linear symmetry actions.
• Interacting examples: Algebraic coefficient constraints across different operator degrees, including examples with nonlinear equations of motion.
• Selected completeness checks: Bounded scalar, Higgs, and Weyl–Higgs derivative sectors.

The previously published derivative-free interfaces remain available.

Limitations: This is not a general-purpose EFT operator-basis generator. The Lagrangian construction assumes specified polynomial inputs and strictly invariant densities under constant linear symmetry actions. General local gauge transformations, arbitrary physical Lagrangians, and full EFT matching are not covered.

The project remains heavily LLM-assisted and has not undergone independent expert peer review. Lean verifies the encoded formal statements, not their physical interpretation.

I'm sharing this update for anyone interested in the formalization or its implementation. The source code, assumptions, and verification records are available in the repository.

----
I decided to proceed with this extension after discovering that Physlib already provided some of the infrastructure needed to handle derivatives.

I may consider further extensions as the underlying libraries evolve, but I plan to leave a longer interval before the next update.

Modelo Teórico Avanzado

Diseñado a partir de las ideas de un investigador de 13 años

Objetivo principal:

Producir y almacenar antimateria a gran escala de forma estable, con un sistema de energía casi cerrado, para impulsar naves que permitan a la humanidad salir del Sistema Solar.

1. Núcleo de Producción – Esfera Topológica

• Forma esférica perfecta para repartir de manera uniforme todas las fuerzas y presiones.
• Aceleradores perimetrales inyectan haces de alta energía hacia el centro.
• En el centro se canalizan taquiones de forma controlada.
• Al cruzarse los haces con los taquiones, se altera temporalmente la métrica del espacio-tiempo y se reduce el límite de Schwinger.
• Resultado: producción exponencial de antiprotones y positrones en un vacío cuántico casi perfecto.

2. Contenedor de Estabilidad – Cubo Exterior

• Un cubo rígido rodea completamente la esfera.
• Sus aristas y vértices actúan como “anclas” que absorben las distorsiones y tensiones causadas por la masa imaginaria de los taquiones.
• Evita que las deformaciones del espacio-tiempo se descontrolen y protege la estructura general.

3. Sistema de Almacenamiento – Cubo de Campos Exponenciales

• Segundo cubo conectado al núcleo por canales de vacío.
• Usa trampas tipo Penning mejoradas.
• Los campos magnéticos tienen un gradiente exponencial:
  • Suaves en el centro
  • Extremadamente intensos cerca de las paredes
• La antimateria se mueve continuamente a alta velocidad y “rebota” en el campo antes de tocar cualquier superficie física.
• Casi elimina el riesgo de aniquilación accidental.

4. Lazo de Energía Cerrado

• Una pequeña parte de la antimateria almacenada se desvía a una cámara de aniquilación controlada.
• La energía liberada (E = mc²) alimenta todo el sistema: imanes, aceleradores, láseres y contención.
• El objetivo es acercarse lo máximo posible a un sistema autosuficiente.
• (Nota: el reciclaje perfecto al 100 % sigue siendo el punto más difícil y especulativo).

5. Seguridad y Blindaje

• Campos magnéticos permanentes rodean todas las zonas críticas.
• Ninguna partícula puede salir del flujo diseñado.
• Sistema de contención pasiva que funciona incluso si falla la energía principal.

Resumen del modelo

Innovación principal:

Combinación de geometría esférica (producción uniforme) + geometría cúbica (estabilidad y almacenamiento) + gradiente exponencial de campos.

Parte más especulativa:

El uso de taquiones para alterar la métrica y superar el límite de Schwinger. Todo el sistema depende de que los taquiones existan y se puedan canalizar de forma controlada.

Parte más cercana a la física real:

El almacenamiento con campos magnéticos de gradiente y el intento de lazo energético cerrado.

instagram: casanova_s7

This is a follow up to an earlier post on vortex ring stability. Added some more rigor to those results and have a new result as well.

https://github.com/speagleg/vortex-stability-papers

Thomson's heptagon of point vortices sits exactly on the stability boundary. Give each vortex a small core of radius r on a ring of radius R and the degeneracy breaks towards stability: the deciding coefficient is +14(r/R)⁴. Contour dynamics finds the ring linearly stable up to r/R ≈ 0.2614, and an independent code written from scratch reproduces this. Dhanak (JFM 1992) says the opposite, and later papers report the same of Dritschel's 1985 computations. A likely cause: if you freeze the core shapes instead of letting them follow the strain, the coefficient becomes −20 and the heptagon comes out unstable.

The repo also collects the earlier Conjecture 13 and hyperbolic-ring work, now with fuller Lean coverage (222 theorems in total) and an explicit correction to Montaldi–Tokieda's even-n quartic.

From the webpage:

The Lighthouse Initiatives are the flagship efforts of the AI Core Plan. Each is cross-cutting, draws on several of the Plan’s objectives, and grows out of work already under way across CERN and the experiments. Together they show what AI can make possible for physics, accelerators and operations.

As an illustrative example, one of these initiatives is:

LH8 – CERN AI Agent for Particle Physics

An AI assistant for physicists, from running an analysis to understanding what a result implies for a theory.

What it delivers: Agentic AI that assists physicists with typical tasks in experimental particle physics and phenomenology, such as performing a data analysis, assessing uncertainties and learning the implications of physics results for a given theory.

Caught in between a world of fierce US-China competition, here "CERN and Mistral sign a statement of intent to advance AI for science and strengthen Europe’s scientific and technological capabilities."

Hey everyone,

last time I posted about an obscure theorem for on-shell flow adaptive networks. Thanks again for the nice discussion!

This post is all my own words, the repo is 100% LLM generated.

I tried to find a better problem and started from a meta-ontology (Format, Information, Translation, Proper Time, Relational Distance) that I have developed without LLMs. The basic premise is: We model a finite graph, where everything (information) relates to each other and can only be translated. Primitive is relation, not substance. Updates are local, Relational Distance is the hop count. Link -> https://github.com/tripstoph/1D_discrete_boundary_elimination_solver/blob/main/paper/finite-ontology.md

Based on the hypothesis that such a relational finite graph might be able to get compute reduction for common problems, I send the LLMs out to incrementally build a solve. I mostly found what not works (2D/3D, recovering of Navier-Stokes, etc.), which is all outlined in the main markdown and guardrailed in against in lean. Link -> https://github.com/tripstoph/1D_discrete_boundary_elimination_solver/blob/main/paper/discrete-boundary-solver-1D.md

Out comes an indexing scheme for one finite 1D ladder. It includes convection and diffusion along a line of cells.

As I understand this kind of algorithm can have practical applications in pipe, cell, and other physical modelling.

My strategy was to start without assumptions besides the meta-ontology and have the AIs figure out the best way to mathematically tackle the solving process. I've tried my best to use adversarial prompting to catch any errors.

Lean4 builds.

Thanks for your time and feedback. :-)

Link to full repo: https://github.com/tripstoph/1D_discrete_boundary_elimination_solver

Hello everyone,

This is my first submission to this site since the paper contest several months ago, where I believe I placed fourth, or close to fourth. If I recall, my paper was commended for its intellectual honesty but was also dinged for its lack of ambition.

Here, I provide a more ambitious paper that presents an alternative model of dark matter. The effective model is motivated by a physical, fluid-dynamical model of the universe that I have been developing. In that picture, gravity arises from vortex motion in an incompressible universal field. The vortex establishes a pressure gradient that accelerates matter toward its center. Because longitudinal compression is suppressed in this model, the field responds through pressure redistribution and the formation of a coherent boundary structure rather than through ordinary compressive bulk waves. The resulting pressure cavity adds an additional gravitational response that can decline much more slowly with radius than the central baryonic contribution.

As I note in the paper, cored profiles already fit many galaxy rotation curves better than the standard NFW profile. What I find most interesting, however, is the strength of the comparison: under the fit criterion used in the paper, the effective model outperforms NFW in 132 of 170 SPARC galaxies while using the same number of free parameters. I also compare the model with KiDS weak-lensing data. The result is broadly consistent with those observations, subject to the limitations and caveats discussed in the paper.

That said, this remains an effective model, not a completed fundamental theory of dark matter. Important questions remain, including the physical derivation of the effective law, broader lensing tests, environmental dependence, and substantially more work at galaxy-cluster scales (for which I have preliminary results but have not yet published). Independent validation of the results from a physicist would be required.

Though not a solution to dark matter, the paper presents a novel empirical result that may make a fluid-pressure interpretation worth taking seriously.

Cheers

Working with top LLMs on my old IEEE Inf. Th. Markov types/periodic tilings paper has lead to seems novel weaker version of quasicrystals: https://doi.org/10.5281/zenodo.23541901

Potential applications lie in inverse design with ground-state certificates: finite local rules that select prescribed aperiodic statistics and exclude every periodic competitor, as targets for programmable self-assembly and wave control. Count rigidity makes w-quasicrystals strictly zero-temperature objects, while explicit bounds control defect density and local statistics at low temperature.

In Special and General Relativity, the fourth coordinate is defined as x^0 = ct. Multiplying raw time (t) by the speed of light (c) yields units of spatial distance (\text{meters}).

​Furthermore, standard interpretations often frame rest mass as "moving through the time dimension at c," where accelerating through space requires shifting a 4-velocity vector away from time and into spatial dimensions.

​From a purely observational standpoint, several conceptual issues arise with this interpretation:

​Time is Relational to Motion: "Raw time" (t) is never observed in isolation; it is always tied to a 3D physical system changing coordinates (i.e., a clock's spatial displacement). Units like {m/s} represent a physical object in motion, where the division implies change of position in 3D space over a process.

​Physical Causality vs. Metric Formalism: Treating ct as a physical coordinate seems to reify an abstract coordinate system—treating time as an active driver pushing mass at c, rather than an abstract bookkeeping parameter that measures the rate of physical change.

​Dimensional Reification: Does multiplying time by c represent a literal physical conversion of time into spatial length, or is it strictly a mathematical scaling factor designed to keep the spacetime metric (ds^2) dimensionally consistent across inertial frames?

​Question: Is there a rigorous foundation in modern theoretical physics (e.g., relational mechanics or background-independent physics) that treats time purely as a measure of physical state transitions in 3D space, rather than treating spacetime geometry as a physical entity with a 4th dimension?

Most theoretical models simply break down or drop offline when their variables head toward infinite blowups or unphysical negative states. This release upgrades the dynamical sector of this three-variable system to version 1.5, introducing an ironclad, code-verified boundary solution.

Instead of traditional piecewise clamping hacks, the architecture implements smooth, real-analytic hyperbolic multipliers: Psi(H_obs) = tanh(H_obs / epsilon_H) on the erasure sink and Phi(I_dot) = tanh(I_dot / epsilon_I) on the derivative-feedback channel. By applying Nagumo's subtangentiality theorem, we prove that the entire phase space is permanently confined inside a compact trapping box.

The key structural asset is that because the rate of entropy change hits exactly zero at steady state, the first derivative of the processing gate vanishes completely in the linearized Jacobian. The internal equilibrium coordinates remain precise, preserving the subcritical Hopf threshold and the first Lyapunov coefficient up to a 50-digit precision evaluation.

The entire boundary-invariance architecture is fully formalized and machine-checked kernel-side in Lean 4 with zero sorry placeholders. The repository includes a standalone Python server script that runs the exact non-linear ordinary differential equations and serves an interactive Plotly dashboard locally.

• Zenodo Verified Software Bundle: 10.5281/zenodo.23505274

• GitHub Repository: reggaesharkk/physics-v1-dynamical-sector

• Lineage History: OSF Preprint 10.17605/OSF.IO/N3DQU

Okay bozos, listen up.

I've been lurking in this subreddit for years now, and in this time I've seen more TOE's than a Tarantino movie and I'm sick of it.

So, with the hopes of leading by example, I'm sharing my work letting the model loose on a smaller problem that is more within its capabilities, and I'm sharing a 50 page paper and lean formalization showing that you suck at parallel parking without a shadow of a doubt.

This is also the point where people write in their post they are actually a physicist, mathematician, friends with Tao, second coming of Dirac, a Nobel winner, their dad is the president of physics or something; like its going to make people roast them less instead of more with their shitty math or physics.

So for all intents and purposes, assume I'm a hobo living in a Wendy's dumpster whose only kinematics knowledge is projectile motion of trash coming into my domicile.

Abstract:

A car with front-wheel steering and a fixed rear axle is modelled as a rectangle with front overhang df , wheelbase dw , rear overhang db , width w and maximal steering angle θ, moving along curves of curvature at most 1/R with R = dw cot θ. It has to park between two parked cars of the same width, which stand at distance m from a straight curb (m = w/10 in the main application). The car has parked once it does not overlap the curb or the parked cars and its outermost point is no farther from the curb than the outer sides of the parked cars. A manoeuvre is a maximal stretch of motion in one direction. We study the infimal slot length Lmin (n) that allows parking with at most n manoeuvres.

For one manoeuvre we derive Lmin in closed form. The optimal car finishes slightly nose-up, tilted by the largest angle for which the rear overhang, swinging towards the curb during the turn, does not cut into it. When the margin equals the swing of p the rear overhang, the formula reduces to the classical value db + sqrt((dw + df )² + 2Rw). For general n we prove that Lmin (n) is non-increasing, exceeds the car length ℓ = df + dw + db for every n, and converges to ℓ. The convergence rate is sharp:

and K depends neither on the overhangs nor on the margin. The proof combines a confinement lemma, a calibration (potential-function) inequality in rescaled variables, and an explicit asymptotically optimal “crawling” strategy built from tilted S-shaped manoeuvres. For a small number of manoeuvres we give explicit strategies, including a closed-form two-manoeuvre upper bound, and numerical values. We also show that the idealised problem with zero margin is degenerate: a car with positive rear overhang can never be brought flush against a rigid curb by a finite motion, so no finite slot length suffices for any n. Finally we treat a soft curb, over which the bodywork may pass while the tyres must stay on the road. The one-manoeuvre length is again given in closed form and is only a few centimetres shorter, two to five manoeuvres gain up to about 20 cm, and the asymptotic constant K is unchanged. The model, the zero-margin degeneracy, the monotonicity in n and the one-manoeuvre theorem are formally verified in Lean 4 with Mathlib. For the asymptotic theorem, the formal proof derives the statements about Lmin (n) from the two propositions bounding the number of manoeuvres, which enter as explicit hypotheses.

Look, a few honesty points to add. The abstract and the problem is very clear, okay. The intro I can follow through, no issues. Section 2 has some math that I can follow through. Section 3 takes some time to digest but could be worse.

Then there is section 4. All cards on the table here, it's a mess. It starts fine, a bit dense so it takes time to digest, but its somewhat fine to follow through. But somewhere along the way it gets so unholy that it just makes me question what the hell I'm doing with my life. So no, I didn't verify the math myself, I don't claim that it is correct, I don't intend to check it, and finally no, I didn't even take the time to verify the problem statement in lean is accurate. For all i know it could be proving 1=1 with a detour and a parallel parking flavor. I did my best to sift through the simulation code and I eyeballed the figures to make sure solutions seemed to make sense.

Its the OpenAI way of scientific work™, taking a steaming lean dump with an unreadable paper and telling the nerd unfortunate enough to be interested in the problem they solved "good luck sifting through it". So if anyone here is super interested in science of parallel parking... good luck?

And as a final note, a lot of thanks and love for this one goes to u/AllHailSeizure who had just as much contributions on the paper but has valiantly refused a secondsies position.

Here are a few pieces of the results for you.

Paper: https://github.com/ignis-sec/parallel-parking-proof/releases/download/init/parallel-parking-proof.pdf
Repo: https://github.com/ignis-sec/parallel-parking-proof

In nonperturbative picture we work with Feynman ensembles of field configurations, e.g. for atom requiring hidden electron trajectories - with top LLMs tested properties vs experimental for Bohr's and many others, including hydrodynamical/dBB-like using electron coupled with quantum phase field, or "one field": with electron being topological soliton (quantized electric charge) of this field - https://doi.org/10.5281/zenodo.23470617

Hi everyone,
I wanted to share a conceptual thought experiment bridging General Relativity's smooth spacetime and Quantum Mechanics' probabilities by looking at John Wheeler’s "It from Bit" through the lens of an Einsteinian Block Universe.
I'd love to hear this community's critique on the metaphysical implications of an informational, observer-dependent cosmic origin.

What if the Big Bang wasn’t an explosion of matter out of nothing, but rather the moment our universe was first "noticed"?
Modern physics rests on a massive contradiction:
The Large Scale: General Relativity describes spacetime as a smooth, predictable fabric.
The Subatomic Scale: Quantum Mechanics describes reality as a chaotic smear of probabilities.
Because these frameworks clash, physicists have spent a century searching for a bridge. Maybe we should look past what is happening inside our universe and ask: What if the ultimate "resting state" of reality is entirely timeless, and our universe is merely its byproduct?

The Block Universe and the Outside Observer
Einstein championed the "Block Universe"—the idea that the past, present, and future all exist simultaneously as a static, 4D geometric sculpture.
If a hypothetical observer looked at our universe from the "outside"—completely external to spacetime—they would see your birth, your reading of these words, and the eventual death of the cosmos coexisting in a single, eternal "now."
But if the universe already exists in a complete, timeless resting state, why do we experience it frame-by-frame as an expanding timeline?

The Big Bang as an Act of Observation
The answer might lie in a quantum chain reaction. In quantum mechanics, a particle doesn't exist in a definite place until it interacts with an observer—a process that "collapses" its fuzzy wave function into a crisp, physical reality.
What if the Big Bang was the exact moment an outside observer "looked" at a single quantum state within the timeless block?
Before that moment, everything coexisted as an unmanifested soup of data. But the instant that first foundational particle was observed, it snapped into physical reality. Because quantum particles can be deeply entangled across space and time, collapsing that one particle would inevitably force every other connected particle to collapse into a definite state as well.
This would trigger a cosmic domino effect—an information wildfire ripping through the pre-existing block. To us, trapped inside the timeline, this hyper-fast cascade of reality snapping into focus would look like a massive explosion. We would perceive this rendering process as Cosmic Inflation—the split-second where the universe expanded faster than light. Space didn't physically stretch out of nothing; the cosmic blueprint was simply being instantly rendered by a chain reaction of observation.

Solving the "Impossible Galaxy" Mystery
While this sounds like pure metaphysics, it offers an elegant solution to a baffling anomaly in modern astronomy.
The James Webb Space Telescope (JWST) discovered massive, highly mature, and chemically evolved galaxies existing just 300 to 500 million years after the Big Bang. Under the standard "bottom-up" model, it should have taken billions of years of slow, gravity-driven collisions for pristine gas to build structures that complex.
But if the universe is a pre-existing 4D Block unspooling via a quantum chain reaction, the grand architecture was already there. When the observation rippled through the system, it didn't ignite a messy explosion that had to wait for gravity. Instead, it materialized complex cosmic structures exactly where and how they already existed in the timeless state. The galaxies appear fully formed because they were rendered fully formed.

Why the Illusion Matters
If the movie is already filmed and we are just watching it play out, reality can feel deeply deterministic and disempowering.
But true predictability requires infinite information, which a human brain can never hold. Because our perspective is beautifully localized, the future remains entirely open and unwritten to us.
More importantly, it repositions humanity's role. If reality requires observation to snap from a hazy "maybe" into a solid "is," then we are not just helpless byproducts of a mechanical universe. Every time we build a telescope, ask a fundamental question, or look out at the stars, we are the universe looking back at itself—actively participating in rendering the grand story of reality, one frame at a time.

TL;DR: The Big Bang wasn't an explosion. It was the initial wave-function collapse of a pre-existing, timeless 4D "Block Universe." This triggered an instantaneous information chain reaction (perceived as Cosmic Inflation) that rendered the universe into reality—explaining why JWST finds fully formed, "impossible" galaxies in the early universe.

What are your thoughts? Does an informational/participatory universe make more sense than a physical singularity?