We Are So Skewed

A torsion-first instantiation of Geometric Unity

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About

Or how I tried to make GU grow a universe.

Introduction

Two Geometries Problem: Riemann vs Ehresmann

Modern physics rests on two incompatible geometric formalisms: Riemannian geometry for gravity and Ehresmann (connection-based) geometry for gauge fields. This post isolates the precise obstruction to unifying them and explains why Geometric Unity (GU) does not attempt to merge them naively, but instead replaces a single crucial operation.

Why Torsion Can't Be a Perturbation in This Instantiation

Geometric Unity does not introduce torsion as an extension of GR; it introduces it as the only covariant coordinate on the space of connections. This post explains why torsion must be defined as a difference variable relative to a background connection, and why treating it perturbatively is meaningless.

Transport-Based Viewpoint: Connections as Primary, Metric as Induced

Once torsion is recognized as a coordinate on connection space, geometry becomes a transport problem.

Physics on Y, Experience on X

Geometric Unity separates where physics lives from where it is experienced. This post introduces the native vs invasive distinction and explains how pullback filters physical content.

Setup

The Ambient Stage: Y with Split Signature and Why It’s Not Optional

In this post, we zoom out to the 14D ambient space Y, where Geometric Unity actually lives. We’re not compactifying, slicing, or bolting on extra fields. Instead, everything we observe—fields, particles, interactions—is a consequence of how 4D spacetime immerses into a larger, structurally rigid arena.

Immersion and the Tangent/Normal Split

The immersion is an observation map that carves spacetime into the ambient geometry and defines what survives pullback.

Metric Split Ansatz

We introduce a single scalar that controls how the ambient geometry breathes along unobserved directions.

Axial Torsion as the Default: Where It Lives and What It Does

Axial torsion is the engine that distinguishes chirality, drives overlap physics, and deforms geometry from the inside.