<b><i>∆ngular Theory 0.0: One Equation A Complete Geometric Unification</i></b>

============================================================<br>∆NGULAR THEORY 0.0<br>A Unified Geometric Framework for Physics<br>============================================================<i>A fundamental unit shaping the structure of physical interactions.</i><i>David Souday </i><i>Paris, France</i><br><i>Research Team: Alexander Rothman, Oshan Dinilka</i><br><i>London, UK</i><i>===</i>=====================================================================================================================A Discrete Angular Framework for Fundamental Physics<br>============================================================➤ What if the fundamental structure of physical interactions<br>was not based on continuous variables, but rather on<br>quantized angular increments?∆ngular Theory 0.0 introduces a framework demonstrating that<br>∆θ₀ (Delta Theta Zero) serves as the fundamental unit governing<br>physical interactions, defining the discrete architecture of<br>space-time from which known laws of physics emerge.Rather than assuming a continuous metric, ∆ngular 0.0 derives<br>the dynamics of fundamental forces through discrete angular<br>transitions, ensuring a self-consistent mathematical foundation<br>that remains fully aligned with empirical observations.============================================================<br>∆θ₀: The Fundamental Quantum of Space-Time &amp; Information<br>============================================================∆θ₀ (Delta Theta Zero) is introduced as the irreducible unit<br>of variation in space-time, defining the minimal angular quantum<br>that structures all physical interactions. Unlike conventional<br>formulations that treat space-time as a continuous manifold or<br>impose empirical constants, ∆θ₀ emerges as a necessary invariant,<br>encoding the fundamental discreteness underlying physical laws.This framework provides a natural unification of quantum dynamics,<br>relativistic structures, and cosmological evolution, without<br>requiring independent postulates for different physical regimes.<br>The same angular quantization principle governs:┌────────────────────────────────────────────────────┐<br>│ ➤ The emergence of mass-energy distributions. │<br>│ ➤ The structuring of entropy and information flow. │<br>│ ➤ The formation of space-time curvature │<br>│ and gravitational effects. │<br>│ ➤ The fundamental limits of measurement │<br>│ and resolution. │<br>└────────────────────────────────────────────────────┘∆θ₀ is not introduced as an auxiliary hypothesis but as the<br>absolute structuring unit from which observed physical<br>properties emerge. If nature is fundamentally discrete, then<br>∆θ₀ is the quantum of this discreteness, imposing angular<br>constraints on all scales.This document presents the mathematical foundations and empirical<br>consequences of this approach, demonstrating how ∆θ₀ naturally<br>gives rise to known physical constants and laws, while remaining<br>fully testable and falsifiable.Any attempt to reformulate the role of ∆θ₀ must acknowledge its<br>structural and dynamic origin within the ∆ngular 0.0 framework.Regardless of its designation, any theoretical articulation<br>that assigns a fundamental structuring role to an angular<br>increment will inevitably align with the dynamics and principles<br>established in this work.<br>https://github.com/AngularTheory/Angular-Theoryhttps://x.com/Angular00?t=ysmjiTqln7E5xf_cVnrueQ&amp;s=09https://orcid.org/0009-0005-6995-2186<br>