What question did this study set out to answer?

This research aims to explain how fundamental physical constants emerge from geometric projections in an infinite-dimensional space.

May 8, 2026Open Access

The Geometric Emergence of Physical Constants: Infinite-dimensional Projection and Golden Ratio Resonance

Key Points

This research aims to explain how fundamental physical constants emerge from geometric projections in an infinite-dimensional space.
Utilized the Seonggil Preserving Limit Operator to explore projections from infinite dimensions to four-dimensional spacetime.
Derived the Planck constant based on the Golden Ratio resonance and topological friction.
Proved absolute convergence of infinite sums via the Seonggil Inequality.
Demonstrated waveparticle duality as a topological consequence of geometric projection.
Established the Planck constant as linked to the Golden Ratio resonance with structural stability in 4D spacetime.
Proved the convergence condition (α < ωφ) ensures the stability of the manifold structure.

Abstract

This paper presents a novel geometric framework for the emergence of fun damental physical constants from infinite dimensional manifold projections. By utilizing the Seonggil Preserving Limit Operator ( limS), we demonstrate that waveparticle duality is a topological consequence of ’shadow blur’ during the projection from M∞ to M4. We derive the Planck constant (ℏ) as a manifestation of topological friction governed by the Golden Ratio (ωφ) resonance index. Crucially, weprove the absolute convergence of the infinite-dimensional sum through the Seonggil Inequality (α < ωφ), ensuring the structural stability of the 4D spacetime manifold.

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Seonggil Lee

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The Geometric Emergence of Physical Constants: Infinite-dimensional Projection and Golden Ratio Resonance

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Abstract

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