<b>**Angular Theory 0.0: One Equation, One Angular Quantum (Δθ₀), A Complete Geometric Unification**</b>

<b>==================================================</b> Redefining Fundamental Physics: The Angular 0.0 Framework==================================================<br>The problem with modern physics is not its accuracy, but its lack of explanation.<br>The **Standard Model** and **General Relativity** rely on **27+ free parameters** and assume that fundamental constants (**G, c, ħ, Λ**) exist **without deeper justification**. These constants are **measured, not derived**. The frameworks work operationally, but they do not explain **why these values arise** or whether they should be considered **fundamental at all**.<br>### **Angular 0.0 changes this entirely.**<br>Instead of treating these constants as arbitrary inputs, **Angular 0.0 derives them from a single geometric principle**: **discrete angular increments**, encoded in a **pivot equation** that unifies **mass hierarchies, entropy scaling, and cosmic evolution**:<br> m(s) = (Δθ₀)^α * exp[- π² / (4 * S(s))] * [1 + ε cos(2π δ s)]^β<br>-------------------------------------------------- The Core Principle: Δθ₀--------------------------------------------------<br>At the heart of **Angular 0.0** lies the **minimal angular increment**: **Δθ₀ (Delta Theta Zero)**, which defines **the fundamental discrete step of variation in spacetime**.<br>🔹 **Δθ₀ is the universal unit of angular transition.** 🔹 **It replaces arbitrary constants like G, c, and ħ as an emergent property of angular discreteness.** 🔹 **All physical laws must be expressible in terms of Δθ₀—there is no smaller scale of variation.** <br>This single, fundamental **angular quantum** underlies everything, from quantum interactions to cosmic evolution. **Δθ₀ is not an assumption—it is a consequence of information discreteness itself.**<br>-------------------------------------------------- Why Angular 0.0 Is Different--------------------------------------------------<br>1️⃣ **No Free Constants** Newton’s **G**, Planck’s **ħ**, and the cosmological constant **Λ** are **not fundamental**, but **emergent properties of discrete angular scaling**. Unlike traditional physics, **Angular 0.0 does not assume their values**— it explains **why they arise**.<br>2️⃣ **No Redundant Symmetries** Lie groups (**SO(3), SU(2)**) are **not imposed axioms** but **statistical outcomes of angular quantization**. This framework **does not "fit" known interactions into predefined structures**; it shows how they **naturally emerge**.<br>3️⃣ **Mathematically Locked Structure** The **minimal angular increment Δθ₀** is the **only true invariant**. The equation is **axiomatically derived**—no **fine-tuning** or **arbitrary adjustments**.<br>4️⃣ **Testable and Falsifiable** If the **derived constants** do **not match experimental values**, **Angular 0.0 collapses entirely**. This is **unlike the Standard Model**, which **remains valid by indefinitely adjusting parameters**.<br>-------------------------------------------------- A New Paradigm, Not a Modification--------------------------------------------------<br>This is **not just another speculative framework**—it is a **direct challenge** to **conventional physics**. Either **fundamental constants are real**, emergent from **deeper structures**, or they are **arbitrary numbers** assigned without justification. **Angular 0.0 provides the test.**<br>By introducing a **single unified equation**, Angular 0.0 **imposes a constraint on all known physical laws**, ensuring that **physics is no longer a patchwork of empirical parameters**, but a **coherent, self-consistent structure** governed by the **fundamental discreteness of angular information**.<br>-------------------------------------------------- Copyright &amp; Timestamp--------------------------------------------------<br>© 2025 **David Souday** This work is released under **Creative Commons Attribution 4.0 (CC BY 4.0)** to prevent unauthorized appropriation. Any reuse or adaptation of this framework **must properly credit** its original source.<br>-------------------------------------------------- Legal Timestamp &amp; Notarization--------------------------------------------------<br>**Public Key ID:** 2D:49:50:31:53:7E:BD **NTP4 Soft NTS-100i GPS** <br>**Signature Algorithm:** SHA2 (Base 64) **Hash Algorithm:** MD5 <br>**Certified Deposition Date:** 25/02/2025 20:05:52 UTC <br>**Notary Firm:** SPE SAS FRADIN TRONEL SASSARD &amp; ASSOCIES 79 bis cours Vitton, 69006 LYON, France <br>**File Name:** Angular_Theory.pdf **Timestamp Number:** FR1427746 <br>**Digital Fingerprint:** 942b4acc67e92789b6b0a4a9deb3f667 **Timestamp Status:** **Valid** (Issued on 25/02/2025 20:05:52 UTC) <br>--------------------------------------------------This notarization provides **legal proof** of authorship and **intellectual property protection**, ensuring the **integrity and originality** of **Angular 0.0**.--------------------------------------------------

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.28489679.v9
Primary Topic
Relativity and Gravitational Theory
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article
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article

**Angular Theory 0.0: One Equation, One Angular Quantum (Δθ₀), A Complete Geometric Unification**

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Relativity and Gravitational Theory
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**Angular Theory 0.0: One Equation, One Angular Quantum (Δθ₀), A Complete Geometric Unification**

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Abstract

<b>==================================================</b> Redefining Fundamental Physics: The Angular 0.0 Framework==================================================<br>The problem with modern physics is not its accuracy, but its lack of explanation.<br>The **Standard Model** and **General Relativity** rely on **27+ free parameters** and assume that fundamental constants (**G, c, ħ, Λ**) exist **without deeper justification**. These constants are **measured, not derived**. The frameworks work operationally, but they do not explain **why these values arise** or whether they should be considered **fundamental at all**.<br>### **Angular 0.0 changes this entirely.**<br>Instead of treating these constants as arbitrary inputs, **Angular 0.0 derives them from a single geometric principle**: **discrete angular increments**, encoded in a **pivot equation** that unifies **mass hierarchies, entropy scaling, and cosmic evolution**:<br> m(s) = (Δθ₀)^α * exp[- π² / (4 * S(s))] * [1 + ε cos(2π δ s)]^β<br>-------------------------------------------------- The Core Principle: Δθ₀--------------------------------------------------<br>At the heart of **Angular 0.0** lies the **minimal angular increment**: **Δθ₀ (Delta Theta Zero)**, which defines **the fundamental discrete step of variation in spacetime**.<br>🔹 **Δθ₀ is the universal unit of angular transition.** 🔹 **It replaces arbitrary constants like G, c, and ħ as an emergent property of angular discreteness.** 🔹 **All physical laws must be expressible in terms of Δθ₀—there is no smaller scale of variation.** <br>This single, fundamental **angular quantum** underlies everything, from quantum interactions to cosmic evolution. **Δθ₀ is not an assumption—it is a consequence of information discreteness itself.**<br>-------------------------------------------------- Why Angular 0.0 Is Different--------------------------------------------------<br>1️⃣ **No Free Constants** Newton’s **G**, Planck’s **ħ**, and the cosmological constant **Λ** are **not fundamental**, but **emergent properties of discrete angular scaling**. Unlike traditional physics, **Angular 0.0 does not assume their values**— it explains **why they arise**.<br>2️⃣ **No Redundant Symmetries** Lie groups (**SO(3), SU(2)**) are **not imposed axioms** but **statistical outcomes of angular quantization**. This framework **does not "fit" known interactions into predefined structures**; it shows how they **naturally emerge**.<br>3️⃣ **Mathematically Locked Structure** The **minimal angular increment Δθ₀** is the **only true invariant**. The equation is **axiomatically derived**—no **fine-tuning** or **arbitrary adjustments**.<br>4️⃣ **Testable and Falsifiable** If the **derived constants** do **not match experimental values**, **Angular 0.0 collapses entirely**. This is **unlike the Standard Model**, which **remains valid by indefinitely adjusting parameters**.<br>-------------------------------------------------- A New Paradigm, Not a Modification--------------------------------------------------<br>This is **not just another speculative framework**—it is a **direct challenge** to **conventional physics**. Either **fundamental constants are real**, emergent from **deeper structures**, or they are **arbitrary numbers** assigned without justification. **Angular 0.0 provides the test.**<br>By introducing a **single unified equation**, Angular 0.0 **imposes a constraint on all known physical laws**, ensuring that **physics is no longer a patchwork of empirical parameters**, but a **coherent, self-consistent structure** governed by the **fundamental discreteness of angular information**.<br>-------------------------------------------------- Copyright &amp; Timestamp--------------------------------------------------<br>© 2025 **David Souday** This work is released under **Creative Commons Attribution 4.0 (CC BY 4.0)** to prevent unauthorized appropriation. Any reuse or adaptation of this framework **must properly credit** its original source.<br>-------------------------------------------------- Legal Timestamp &amp; Notarization--------------------------------------------------<br>**Public Key ID:** 2D:49:50:31:53:7E:BD **NTP4 Soft NTS-100i GPS** <br>**Signature Algorithm:** SHA2 (Base 64) **Hash Algorithm:** MD5 <br>**Certified Deposition Date:** 25/02/2025 20:05:52 UTC <br>**Notary Firm:** SPE SAS FRADIN TRONEL SASSARD &amp; ASSOCIES 79 bis cours Vitton, 69006 LYON, France <br>**File Name:** Angular_Theory.pdf **Timestamp Number:** FR1427746 <br>**Digital Fingerprint:** 942b4acc67e92789b6b0a4a9deb3f667 **Timestamp Status:** **Valid** (Issued on 25/02/2025 20:05:52 UTC) <br>--------------------------------------------------This notarization provides **legal proof** of authorship and **intellectual property protection**, ensuring the **integrity and originality** of **Angular 0.0**.--------------------------------------------------

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