[Paper Review] Predictions of noncommutative space-time

Nguyễn Ái Việt|ArXiv.org|Jul 11, 1994

Noncommutative and Quantum Gravity Theories3 citations

TL;DR

This paper proposes a unified noncommutative space-time framework unifying gravity and particle physics, predicting a top quark mass of approximately 172 GeV, a Higgs boson mass of about 241 GeV, and the existence of a universal vector and scalar boson. The model suggests noncommutative effects could be observable at electroweak energy scales, offering testable predictions within current experimental reach.

ABSTRACT

An unified structure of noncommutative space-time for both gravity and particle physics is presented. This gives possibilities of testing the idea of noncommutative space-time at the currently available energy scale. There are several arguments indicating that noncommutative space-time is visible already at the electroweak scale. This noncommutative space-time predicts the top quark mass m_t \sim 172 GeV, the Higgs mass M_H \sim 241 GeV and the existence of a vector meson and a scalar, which interact universally with the matter.

Motivation & Objective

• To develop a unified noncommutative space-time structure that incorporates both gravity and particle physics.
• To explore whether noncommutative space-time effects are detectable at the electroweak energy scale.
• To derive specific, testable predictions for particle masses and new resonances within the noncommutative framework.
• To provide a phenomenologically viable model that connects noncommutative geometry with observable high-energy physics.

Proposed method

• Formulating a noncommutative space-time algebra that unifies gravitational and gauge interactions.
• Applying the noncommutative structure to the Standard Model Lagrangian to derive modified field equations.
• Using symmetry and consistency conditions to constrain the model parameters and predict particle masses.
• Deriving the existence of a new vector and scalar particle that couples universally to matter fields.
• Comparing theoretical predictions with known electroweak scale observables to assess viability.
• Revising the model based on consistency checks and energy scale constraints to ensure compatibility with existing data.

Experimental results

Research questions

• RQ1 Can a consistent noncommutative space-time structure unify gravity and the Standard Model?
• RQ2 Are noncommutative effects observable at the electroweak energy scale of ~100 GeV?
• RQ3 What are the predicted masses of the top quark and Higgs boson within this noncommutative framework?
• RQ4 Does the model predict new gauge or scalar resonances that couple universally to matter?
• RQ5 Can the model reproduce known electroweak phenomenology while introducing noncommutative corrections?

Key findings

• The model predicts a top quark mass of approximately 172 GeV, consistent with later experimental measurements.
• The Higgs boson mass is predicted to be around 241 GeV, significantly higher than the later observed value.
• A new vector boson is predicted to exist, coupling universally to all matter fields.
• A new scalar particle is predicted, also coupling universally to matter.
• The model suggests noncommutative effects may be observable at the electroweak scale, offering a testable signature.
• The framework provides a unified description of gravity and particle physics through noncommutative geometry at accessible energy scales.