Dimensional Projections and Observational Limits: A Mathematical Framework for the Inaccessibility of Fundamental Structures

Key Points

• To present a mathematical framework that interprets fundamental particles as projections from higher-dimensional structures.
• Developed a mathematical model based on the Platonic distinction between appearance and reality.
• Utilized concepts of infinite limits and exponential decay to address inaccessibility.
• Connected the model to recent advances in holographic principles and quantum mechanics.
• Conducted numerical simulations and outlined experimental proposals to test the framework.
• Framework predicts a corrective term in the Heisenberg uncertainty relation at scales near the Planck length.
• Numerical simulations support the model's predictions.
• The framework aligns with the holographic principle, indicating significant implications for theoretical physics.

Abstract