A New Era in Physics
Fundamental Energy Theory FET – Theory of Everything

The Unified Master Equation (UME):
A Dimensionless Constant α = 1.5 as the Foundation for a Theory of Everything

– Mathematical Concept FET –

Some sections are available in Swedish (by links).
Några avsnitt finns på Svenska (markerade länkar).

Brief Introduction

Albert Einstein, Stephen Hawking and many others have been and still are struggling with what they term a “Theory of Everything”, which, in a few words, means to capture the workings of the universe in one single equation. The original technical concept refers to the unification of the four fundamental forces of nature: gravity, electromagnetism, and the strong and weak nuclear forces into a single theory, which is one of the major unsolved problems in physics.
NCP X-AIONS published in 2012 the work of our collaborator, biochemical engineer Leif Pettersson, presenting ground-breaking material that is entirely based on Martinus Cosmology: The Fundamental Energy Theory – FET, which conclusively unifies the four fundamental forces of nature and thereby meets the criteria for the Theory of Everything.

Physics, Martinus Cosmology and The Theory of Everything – The Fundamental Energy Theory –  FET
Svensk utgåva: GrundEnergiTeorin – GET

Physics, Martinus Cosmology and The Theory of Everything - The Fundamental Energy Theory - FET

The Fundamental Energy Theory FET - Overview

Leif Pettersson bases his concept primarily on two of the cosmic qualitative basic energies: the expansion energy and contraction energy, their properties, and the interaction and tension between these two opposing energies.
In September 2025, thirteen years after the book’s publication, Leif Pettersson has succeeded in presenting a completely new mathematical concept supporting FET and a Theory of Everything:

The Unified Master Equation (UME):
A Dimensionless Constant α = 1.5 as the Foundation for a Theory of Everything

The mathematical concept is under development and we will follow up on Leif Pettersson’s ongoing work progressively.
Below you find a short summary of UME in English (and link to Swedish), followed by the original abstract and a link to the article. The first version was published on September 22, 2025, at Zenodo, the University of Ghent.

We are very pleased and grateful to present Pettersson’s innovative and revolutionary material on this page!
Further information will be provided gradually.

Very Brief Summary of The Unified Master Equation (UME):
Dimensionless Constant α = 1.5 as the Foundation for a Theory of Everything
Länk till Svensk text —————————-

The Unified Master Equation (UME) v5.15 introduces a framework that unifies gravitational, quantum, and cosmological dynamics through an asymmetry parameter α = 1.5, treated not as a free variable but as a fundamental constant derived from the vacuum structure (Δ–Σ). This imbalance replaces the need for fine-tuned cosmological parameters and offers ab initio derivations of multiple observables such as the fine-structure constant, electron–proton mass ratio, neutrino masses, and the Hubble function H(z).

UME successfully addresses black hole unitarity, singularity resolution, and dark matter/energy unification. It also incorporates a novel metaphysical structure with observer O, quantum vacuum Q, and spacetime sector S, suggesting that consciousness is located outside spacetime and acts as a projector of reality.

UME’s predictions are falsifiable: it anticipates the existence of a Δ-boson, deviations in gravitational wave signatures, and cosmological anomalies, offering a robust and testable approach to a Theory of Everything.

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The Fundamental Energy Theory FET - Overview

The Unified Master Equation (UME): A Dimensionless Constant α = 1.5 as the Foundation for a Theory of Everything - Leif Pettersson - NCP X-AIONS

The Unified Master Equation (UME):
A Dimensionless Constant α = 1.5 as the Foundation for a Theory of Everything

Leif Pettersson
10.5281/zenodo.17314509
https://zenodo.org/records/17314509   
Version 5.23

Abstract

We present the Unified Master Equation (UME), a symmetry-based framework that unifies gravitational, quantum, and cosmological dynamics through a single structural constant: α = 1.5. This asymmetry between expansion and contraction emerges from a pre-geometric Δ–Σ vacuum and is treated not as a free parameter, but as a measurable, RG-stabilized quantity—anchored empirically in the range 1.47–1.53.
From this foundation, we derive structurally a wide set of observables across scales and sectors: the cosmological expansion function H(z), the fine-structure constant α_EM, the electron–proton mass ratio, the proton radius anomaly, the anomalous magnetic moments (g−2) of e⁻ and μ, neutrino masses, and the strong CP suppression—with α=1.5 as the sole structural input, complemented by known physical scales (e.g., M_Pl, m_e) for RG flow. The framework also reproduces the deceleration parameter q₀ ≈ –0.40 and the ΛCDM-compatible expansion history without requiring Ω_m or Ω_Λ as input.
A novel contribution is the hierarchical mapping of α = 1.5 into ubiquitous 3/2 scalings in quantum and statistical systems—from partition functions and fermion gases to QCD plasma and gravitational dynamics. This “dimensional echo” is formalized as a causal tree from the Δ–Σ stem to RG-stable branches and observable leaves.
UME also makes falsifiable predictions: a Δ-boson mediator, deviations in short-range gravity, and signatures in gravitational wave spectra. Together, these results position UME as a mathematically explicit and testable unification scheme—with roots in symmetry, branches in known physics, and leaves in observable precision.
At the RG-stable point α = 1.5, Ward-balanced Δ–Σ dynamics enforce Zt = Zx, deriving the universal light cone (v* = c) as a structural prediction rather than a postulate. This provides a fundamental conceptual bridge between pre-geometric vacuum structure and Lorentz invariance.

Link to the Article PDF: The Unified Master Equation (UME-v5-16): α = 1.5 as a Fundamental Constant. STEEN byt ut denna ändra bara det inom ( UME-v5-16  ) till  (UME -v5-23)

Detailed Ab Initio Derivations of the 3/2 Scaling in the UME Causal Tree Hierarchy: From ΔΣ Vacuum Stem to Observable Leaves

Kompletterande text på svenska

Mycket kort sammanfattning av The Unified Master Equation (UME):
A Dimensionless Constant α = 1.5 as the Foundation for a Theory of Everything

Unified Master Equation (UME) version 5.15 presenterar ett ramverk som förenar gravitation, kvantfysik och kosmologi via en asymmetriparameter α = 1,5, som inte ses som en fri parameter utan som en fundamentalkonstant härledd ur vakuumstrukturen Δ–Σ. Obalansen ersätter behovet av finjusterade kosmologiska parametrar och ger ab initio-härledningar av flera observerbara storheter som finstrukturkonstanten, elektron–protonmassförhållandet, neutrinomassor och Hubblefunktionen H(z).

UME löser också problemen med unitaritet i svarta hål, singulariteter och förenar mörk materia och mörk energi. Teorin innehåller dessutom en metafysisk struktur där observatören O, kvantvakuum Q och rumtidssektorn S samverkar, och där medvetandet placeras utanför rumtiden och projicerar verkligheten.

UME:s förutsägelser är falsifierbara: den förutser existensen av en Δ-boson, avvikelser i gravitationsvågor och kosmologiska anomalier, vilket gör teorin till ett robust och testbart förslag till en ”teori om allt”.

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GrundEnergiTeorin GET (Fundamental Energy Theory FET) - Leif Pettersson - NCP X-AIONS

The Unified Master Equation (UME):
A Dimensionless Constant α = 1.5 as the Foundation for a Theory of Everything

The Unified Master Equation (UME): A Dimensionless Constant α = 1.5 as the Foundation for a Theory of Everything - Leif Pettersson - NCP X-AIONS