The Photon-Membrane and Equilibrium Singularity Theory (PMES): A Geometric Origin of Physics from 6D Mother-Space.

PMES as a modest computational model that happens to give surprisingly good numerical results. Love you to check other people's calculations?  α comes out to 1/137, G comes out to 6.67×10⁻¹¹, and m_π/m_e = 270 from simple geometric ratios!

"WHY do the constants have these values?" → PMES: because they are frozen geometric relations

"WHY is gravity so weak?" → PMES: exponential damping by membrane coupling

"HOW to avoid a singularity?" → PMES: replace it with an equilibrium state (ES)

PMES as a natural extension of existing ideas:

"Like Kaluza-Klein, but without forced compactification"

"Like string theory, but with a geometric origin of the constants"

"Like emergent gravity, but with a specific mechanism (photon-membranes)"

Specific predictions:

Anisotropies of physical constants on a cosmological scale

Specific deviations in photon-photon scattering at high energies

Quasivelocity gravitational signals from domain collisions

Dry constants with predicted redshift dependence.

Despite remarkable success, the Standard Model and General Relativity leave fundamental questions unanswered: Why do coupling constants and mass ratios have their observed values? Why is gravity exponentially weaker than other interactions? We propose these are not dynamical questions but geometric ones.

*We start from a minimal geometric postulate: physics emerges from a 6D manifold B with signature (3,3), where all dimensions are extended. Through a specific parabolic rotation T: B → A, we obtain observable 3+1D spacetime plus two hidden parameters. Crucially, this rotation freezes geometric relationships from B into what we measure as fundamental constants.*

The model yields quantitative agreements without free parameters. It replaces the initial singularity with an Equilibrium Singularity—a metastable geometric configuration. Gravity appears not as a fundamental force but as suppressed coupling through emergent photon-membrane solitons.

We present: (1) complete derivation of constants from B's geometry; (2) the phase transition mechanism; (3) testable cosmological and particle physics predictions. Whether ultimately correct or not, the framework demonstrates that all measured constants can emerge naturally from pure geometry—a possibility worth rigorous examination.

From Geometric Phase Transitions to Emergent Spacetime: A 6D Pregeometric Framework Deriving Fundamental Constants

We propose a pregeometric framework where observable 3+1D spacetime emerges via parabolic rotation from a symmetric 6D manifold with signature (3,3). Unlike compactification scenarios, all dimensions are initially extended. The model derives from first principles: (1) the hadronic scale λ_Ψ ≈ 1.5×10⁻¹⁵ m from geometric resonance conditions; (2) mass ratios (m_π/m_e ≈ 270, m_μ/m_e ≈ 207) as frozen radius ratios of closed curves; (3) the fine-structure constant α ≈ 1/137 from curvature relationships; and (4) gravitational constant G = (R₅²c³/ħ)·exp[-2(R₅/λ_Ψ+6)] with observed value 6.67×10⁻¹¹ m³kg⁻¹s⁻². Gravity appears not as fundamental interaction but as exponentially suppressed coupling through photon-membrane solitons forming after geometric phase transition. The initial state is an Equilibrium Singularity satisfying P_quantum = F_geometric, containing mass-energy templates without gravitational interaction. The framework offers testable predictions: anisotropic variations of constants, specific photon-photon scattering signatures, and gravitational waves from domain-wall collisions. All derived without arbitrary parameters—only geometric invariants from the mother-space B.

https://pmes-theory.org/