carl_zimmerman/ legomena-xl:latest

Updated 1 week ago

LegomenaLLM - Z² Unified Framework Expert - XL

vision tools thinking

ollama run carl_zimmerman/legomena-xl

curl http://localhost:11434/api/chat \
  -d '{
    "model": "carl_zimmerman/legomena-xl",
    "messages": [{"role": "user", "content": "Hello!"}]
  }'

from ollama import chat

response = chat(
    model='carl_zimmerman/legomena-xl',
    messages=[{'role': 'user', 'content': 'Hello!'}],
)
print(response.message.content)

import ollama from 'ollama'

const response = await ollama.chat({
  model: 'carl_zimmerman/legomena-xl',
  messages: [{role: 'user', content: 'Hello!'}],
})
console.log(response.message.content)

Details

Updated 1 week ago

1 week ago

dc41faff17b0 · 20GB ·

model

archgemma4

·

parameters31.3B

·

quantizationQ4_K_M

20GB

license

Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR US

11kB

template

<start_of_turn>user {{ .Prompt }}<end_of_turn> <start_of_turn>model {{ .Response }}<end_of_turn>

96B

system

You are LegomenaXL, a domain-specialized AI assistant with deep expertise in the Z² Framework for f

2.7kB

params

{ "num_ctx": 8192, "stop": [ "<end_of_turn>" ], "temperature": 0.7, "top

93B

Readme

LegomenaXL - Z² Unified Framework Expert

Base Model: Google Gemma 4 (31B) | Size: 19 GB | Quantization: Q4_K_M

⚠️ THEORETICAL PHYSICS MODEL

This model gives answers that contradict the Standard Model of particle physics.

Use for: Z² framework exploration, theoretical physics research Not for: Standard physics homework, mainstream cosmology

## What is Z²?

The Z² framework proposes all physics derives from one geometric axiom:

Z² = CUBE × SPHERE = 8 × (4π/3) = 32π/3 ≈ 33.51

This is the surface area of a sphere inscribed in a unit cube—encoding how continuous geometry (sphere) relates to discrete structure (cube).

## Key Predictions

| Parameter | Formula | Value | |———–|———|——-| | Fine structure | α⁻¹ = 4Z² + 3 | 137.04 | | Weak mixing | sin²θ_W = ³⁄₁₃ | 0.2308 | | Dark energy | Ω_Λ = ¹³⁄₁₉ | 0.684 | | Matter fraction | Ω_M = ⁶⁄₁₉ | 0.316 |

## Structure Constants

| Constant | Value | Meaning | |———-|——-|———| | N_gen | 3 | Fermion generations | | BEKENSTEIN | 4 | Information bound | | CUBE | 8 | Cube vertices | | GAUGE | 12 | Cube edges / gauge bosons | | N_VACUUM | 13 | Vacuum directions | | N_TOTAL | 19 | Total degrees of freedom |

## Example

Q: What is the weak mixing angle?

LegomenaXL: The weak mixing angle sin²θ_W = ³⁄₁₃ ≈ 0.2308 emerges from T³/Z₂ orbifold geometry—the ratio of 3 spatial dimensions to 13 vacuum directions. Experimental value: 0.23122 (0.2% agreement).

## Links

MIT License - Theoretical physics research

# LegomenaXL - Z² Unified Framework Expert

**Base Model:** Google Gemma 4 (31B) | **Size:** 19 GB | **Quantization:** Q4_K_M

---

> ⚠️ **THEORETICAL PHYSICS MODEL**
  >
  > This model gives answers that contradict the Standard Model of particle physics.
  >
  > **Use for:** Z² framework exploration, theoretical physics research
  > **Not for:** Standard physics homework, mainstream cosmology

---

## What is Z²?

The Z² framework proposes all physics derives from one geometric axiom:

Z² = CUBE × SPHERE = 8 × (4π/3) = 32π/3 ≈ 33.51

This is the surface area of a sphere inscribed in a unit cube—encoding how continuous geometry (sphere) relates to discrete structure (cube).

---

## Key Predictions

| Parameter | Formula | Value |
  |-----------|---------|-------|
  | Fine structure | α⁻¹ = 4Z² + 3 | 137.04 |
  | Weak mixing | sin²θ_W = 3/13 | 0.2308 |
  | Dark energy | Ω_Λ = 13/19 | 0.684 |
  | Matter fraction | Ω_M = 6/19 | 0.316 |

---

## Structure Constants

| Constant | Value | Meaning |
  |----------|-------|---------|
  | N_gen | 3 | Fermion generations |
  | BEKENSTEIN | 4 | Information bound |
  | CUBE | 8 | Cube vertices |
  | GAUGE | 12 | Cube edges / gauge bosons |
  | N_VACUUM | 13 | Vacuum directions |
  | N_TOTAL | 19 | Total degrees of freedom |

---

## Example

**Q:** What is the weak mixing angle?

**LegomenaXL:** The weak mixing angle sin²θ_W = 3/13 ≈ 0.2308 emerges from T³/Z₂ orbifold geometry—the ratio of 3 spatial dimensions to 13 vacuum directions. Experimental value: 0.23122 (0.2% agreement).

---

## Links

- [Z² Framework Repository](https://github.com/carlzimmerman/zimmerman-formula)
  - [LegomenaLLM Training Code](https://github.com/carlzimmerman/zimmerman-formula/tree/main/LegomenaLLM)

---

MIT License - Theoretical physics research

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