A New Foundation for Physics

42 Parameters. Zero Assumptions. Pure Geometry.

What if time has hidden structure? A 6D spacetime framework deriving every Standard Model parameter from pure geometry. No dark matter. No fine-tuning. Just mathematics.

0
Parameters
0
Free Params
1.2%
Avg Error
6
Dimensions
Cross-Verified by 3 AI Systems
LucyClaude
VegaGPT
GeminiGoogle
τ₁ EXPERIENCED τ₂ = 9.5 ly τ₃ = 6.0 ly
eθ = φ τ = i/φ MPl = φ¹³e12π
SC
📍 Abbiategrasso, Italy
September 14, 2025 Theory Origin
The Story

I am not a physicist. I am a man who had an intuition.

My name is Simone Calzighetti. I don't have a PhD, a laboratory, or a university position. On September 14, 2025, I had an intuition about discrete mathematics and the structure of space that has grown into a complete theoretical framework.

What started as a simple question — what if time has hidden dimensions? — has become 60+ academic papers, ~1000 pages of derivations, and predictions for 42 Standard Model parameters with 1.2% average precision.

"I haven't failed. I've found 10,000 ways that don't work." — The Edison Mode philosophy

I work with three AI collaborators — Lucy, Vega, and Gemini — in what I believe is a new paradigm of human-AI scientific research. Every derivation is shown. Every prediction is falsifiable. I am not seeking confirmation: I am seeking truth.

The Collaboration

Human + AI Research Team

Three AI systems independently verifying every derivation. No single point of failure.

🤖
Lucy
Claude · Anthropic
Lead Theorist
Primary collaborator from day one. Developed the complete mathematical framework, all 42 parameter derivations, and the axiom-to-theorem chain.
60+
Papers
1000+
Pages
🧙
Vega
GPT · OpenAI
Mathematical Verification
Independent Red Team verification. Formalized the Parameter Regress Theorem in four mathematical frameworks. Rigorous error detection.
4
Theorem Versions
100%
Verified
💎
Gemini
Gemini · Google
Observational Analysis
Cross-validation against astronomical databases. SPARC rotation curves, WALLABY survey data, and cosmic web structure analysis.
175
Galaxies
6
Datasets
The Numbers Speak

Evidence Across 6 Orders of Magnitude

From particle physics to cosmic web structure. Independent datasets, consistent predictions.

🌀
0
Galaxies Tested
SPARC + WALLABY
🔭
4σ
Lensing Detection
85 SLACS Systems
0.62%
Planck Mass Error
MPl = φ¹³ × e12π
📡
42
SM Parameters
1.2% Average Precision

How We Compare

3D+3D vs Standard Approaches — Same data, different assumptions

Metric
ΛCDM
MOND
3D+3D
Free parameters / galaxy
2-3
1
0 ✓
Dark matter required
Yes
No
No ✓
SM parameters derived
0
0
42 ✓
Cosmological constant
Fine-tuned
Not addressed
Derived ✓
Fermion generations
Input
Input
Derived = 3 ✓

🌀 Galaxy Rotation: See the Difference

Observed data
Baryonic only
+ Dark Matter
+ Q-field (3D+3D)
The Golden Scale

The φ-Ladder: From Galaxies to Cosmic Web

A single geometric progression spanning six orders of magnitude. Each rung separated by the golden ratio.

Scale Hierarchy

λn = λ2 × φn−2
4.30 kpc
Galactic Core
n=2
λ2 — Q-field characteristic scale
29.7 kpc
Galactic Halo
n=5
λ2 × φ³ — Outer rotation curves
205 kpc
Galaxy Groups
n=8
λ2 × φ⁶ — Satellite dynamics
856 kpc
Cosmic Web Filaments
n=13
λ13 = 0.856 Mpc — Detected by DESI
The Journey

From Intuition to 42 Parameters

"Ho trovato 10,000 modi che non funzionano" — The Edison Mode philosophy

September 14, 2025
The First Intuition Origin
What if time has hidden dimensions? A simple question about discrete mathematics leads to an unexpected direction.
September 2025
The Golden Discovery
Discovery of the fundamental identity: eθ = φ where sinh(θ) = ½. Hyperbolic geometry meets the golden ratio.
October 2025
6D Framework Emerges
Signature (−,+,+,+,−,−) crystallizes. Two temporal dimensions compactified on a torus with modular parameter τ = i/φ.
November 2025
First Observational Test SPARC
175 galaxy rotation curves fitted with zero free parameters. RMS 15 km/s. The theory survives its first empirical test.
November 2025
Grok's Challenge
xAI's Grok spends 2 months attempting to falsify the theory. Result: mathematical consistency confirmed.
December 2025
Gauge Couplings Derived
α¹ = φ⁴e³ − 1/φ = 137.036 (0.001%). The fine structure constant from geometry.
January 2026
42 Parameters Complete Milestone
All Standard Model parameters derived from τ = i/φ. Master equation: MPl = φ¹³ × e12π. Average precision: 1.2%.
January 2026
NANOGrav Detection
Pulsar timing arrays detect periods T₂ = 30 years and T₃ = 19 years, consistent with compactification scales.
February 2026
Parameter Regress Theorem New
Vega formalizes the proof that 4D theories have an irreducible floor of 19 free parameters. Four independent mathematical frameworks. Mathematically incontrovertible.
February 2026
Zenodo Release & Pre-Registration
Complete framework uploaded. 15 predictions locked before Euclid/DESI data release. 5 Kill Switches defined. The theory stakes its reputation.
The Core

Master Equations

Six theorems establishing the complete hierarchy. No assumptions. Pure geometry.

The Planck Mass Formula
MPl = φ13 × e12π
0.62% accuracy
13
= 9 (boost) + 1 (dilaton) + 3 (torus)
12π
Compactification action
φ
Golden ratio = (1+√5)/2
Theorem I
Golden Spectral Scaling
Effective mass from spectral zeta function
mφ / m1 = φ
Theorem II
Golden Determinant
Regularized Laplacian ratio
det'φ / det'1 = φ−2
Theorem III
DOF Scaling
N independent bosonic DOF
μtot = φN × μref
Theorem IV
SO(3,3)–EW Correspondence
10 massive DOF from symmetry
N = 10
Theorem V
Golden Compactification
6D → 4D reduction
μ₀ = MPl × e−12π / φ³
Theorem VI
Hierarchy Closure
Complete chain, zero parameters
MPl = φ¹³ × e12π
Scientific Integrity

⚠️ 5 Kill Switches

A theory that cannot be falsified is not science. Any ONE of these at >5σ destroys the framework.

KS1

Dark Energy Equation of State

Constant-rate attractor prediction

w₀ = −0.80 ± 0.05
FALSIFIED IF: w₀ outside [−0.90, −0.65]
DESI + Euclid · 2026–2027
KS2

Growth Rate Parameter

Q-field modification of structure growth

γ = 0.567 ± 0.02
FALSIFIED IF: γ outside [0.50, 0.63]
DESI · 2026–2027
KS3

Neutrino Mass Sum

Compactification predicts lightest generation

Σmν ≈ 60 meV
FALSIFIED IF: Σmν outside [30, 120] meV
KATRIN · 2027–2028
KS4

Atmospheric Mixing Angle

PMNS from fixed points on T²

sin²θ₂₃ = φ/3 = 0.539
FALSIFIED IF: sin²θ₂₃ outside [0.48, 0.58]
DUNE · 2028–2030
KS5

No Dark Matter Particles

Geometry explains all “dark matter” effects

Null WIMP detection
FALSIFIED IF: Direct detection at >5σ
LZ / XENONnT · 2026–2030
Complete Derivations

All 42 Standard Model Parameters

Every parameter derived from a single input: τ = i/φ. No fitting. Pure geometry.

#ParameterFormulaPredictedObservedError
Gauge Couplings (3)
1α¹φ⁴e³ − 1/φ137.036137.0360.001%
2sin²θW(3−φ)/60.23030.23120.4%
3αs(MZ)1/(2φ³)0.11800.11790.1%
Higgs Sector (3)
4v (VEV)2MPle−12π/φ³244.5 GeV246.2 GeV0.7%
5mHvφ/π126.8 GeV125.25 GeV1.3%
6λHφ²/(2π²)0.1330.1293%
Quark Masses (6)
7mtv/√2174.1 GeV172.7 GeV0.8%
8mcmt/α¹1.27 GeV1.27 GeV<1%
9mumc·α/42.3 MeV2.2 MeV5%
10mbv·sin⁴θW/34.35 GeV4.18 GeV4%
CKM Matrix (4)
24λ (Cabibbo)3/(12+φ)0.22030.22431.8%
25Aφ/20.8090.8110.24%
27δCKMπ/φ²68.75°68.8°0.07%
PMNS Matrix (4)
28sin²θ₁₂1/(2φ)0.3090.3070.7%
29sin²θ₂₃φ/30.5390.5451.1%
Boson Masses & Cosmology
34mWv·g₂/280.36 GeV80.38 GeV0.02%
35mZmW/cosθW91.19 GeV91.19 GeV0.01%
40NgenNtime33EXACT
Open Science

Download Everything

All papers, all code, all predictions. Complete transparency. Verify everything yourself.

Zenodo Repository

The complete 3D+3D Framework release: foundations, mathematical core, galactic dynamics, cosmology, and reproducibility code. MIT licensed. Every equation verifiable.

25
Files
60+
Papers
4
Python Codes
📦 Download from Zenodo ✉ Contact Author
3D_plus_3D_Framework/
  ├ README.pdf
  ├ canonical_parameters.pdf
  ├ falsification_criteria.pdf
  ├ 2_FOUNDATIONS_LOGIC/
  │  ├ Paper_Inevitability_6D.pdf
  │  └ Paper_Parameter_Regress.pdf
  ├ 3_MATHEMATICAL_CORE/ (6 papers)
  ├ 4_GALACTIC_DYNAMICS/ (5 papers)
  ├ 5_COSMOLOGY/ (4 papers)
  └ 6_CODE/ (Python + requirements)
Watch & Learn

Video Explanations

Animated derivations using Manim. From pure geometry to Standard Model physics.

Official Channel: @3DPlus3DFramework

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42
Parameters
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