Space-Time Physically a Single Function and Axiom

Archival Scientific Preprint & Mathematical Monograph (Version 3.0, Revision 3_13): The formal PDF edition of The Acopais Thesis —featuring rigorous operational time definitions, the ECI clock kinematics framework, exact 2PN light-deflection derivations, and the PPN preferred-frame analysis—is permanently archived on Zenodo at: https://doi.org/10.5281/zenodo.23930524 A less technical four-part introduction to this thesis begins here: Context and Basis PUBLICATION NOTE — AI-Assisted Rewrite & Formalization (November 2026) Original Physical Framework & Core Axioms: Independently developed over several decades by the author. Multi-Model Adversarial Stress-Testing, Rewrite & Mathematical Formalization: Assisted by Google Gemini AI and audited against independent adversarial critiques via Anthropic Claude AI (utilized strictly as analytical and mathematical auditing instruments, which do not imply institutional endorsement). Why This Updated Edition Exists The core p...

  UPDATE (November 2026): Read the newly formalized Version 3.0 of The Acopais Thesis: A Physical Spatial Medium Alternative to Curved Spacetime (https://acopais.blogspot.com/2026/11/the-acopais-thesis-empirical-foundation.html), or download the formal mathematical monograph on Zenodo (https://doi.org/10.5281/zenodo.23930524). For accurate context and explanation, please read the posts in order starting with the first: 1st Post: 1. Context and Basis 2nd Post: 2. Time as an Observable Empirical Function 3rd Post: 3. Space Physically Being the Same Phenomenon as Time Whatever disagreements or preconceptions someone might initially have about the physical function of time I discussed in the first three posts, there is one simple statement almost everyone agrees on: time measures change. What can we learn if we look directly at the real-world changes we actually measure over time? Look closely at a few everyday examples across completely different scales: Everyday Motion (A Moving...

  UPDATE (November 2026): Read the newly formalized Version 3.0 of The Acopais Thesis: A Physical Spatial Medium Alternative to Curved Spacetime (https://acopais.blogspot.com/2026/11/the-acopais-thesis-empirical-foundation.html), or download the formal mathematical monograph on Zenodo (https://doi.org/10.5281/zenodo.23930524). For accurate context and explanation, please read the posts in order starting with the first: 1st Post: 1. Context and Basis 2nd Post: 2. Time as an Observable Empirical Function In this third post, I want to show why space (distance)[1] is the exact same physical phenomenon as time , and why the two are completely inseparable in the real world. Because of how we naturally perceive the world—and how we are taught to draw space on paper—recognizing that distance is the same physical process as time was much harder for me at first. In the second post, we saw that time , whenever we actually observe or measure it, is simply the movement (change of pos...

  UPDATE (November 2026): Read the newly formalized Version 3.0 of The Acopais Thesis: A Physical Spatial Medium Alternative to Curved Spacetime (https://acopais.blogspot.com/2026/11/the-acopais-thesis-empirical-foundation.html), or download the formal mathematical monograph on Zenodo (https://doi.org/10.5281/zenodo.23930524). For accurate context and explanation, please read the posts in order starting with the first: 1st Post: 1. Context and Basis When we observe the real world directly, time and space (distance) do not exist as two separate physical things—they exist only as one single physical process . While our imagination and mathematics can separate them on paper, in physical reality we only ever observe a single phenomenon. For me, the easiest first step was looking closely at the physical reality of time —specifically, looking at the clocks and methods we actually use to measure it: A Day and a Year: We define a day by one full rotation of the Earth, and a yea...