Scientific Introduction to the Photon-Membrane and Equilibrium Singularity Theory (PMES): A Framework for Unification and Emergent Spacetime.

Note on Source Materials

This document (and its accompanying summary in English) presents and discusses the Photon-Membrane and Equilibrium Singularity Theory (PMES).

It is important to note that the complete, original source materials, containing the full formalism, derivations, reasoning, and details of the theory, were created in the Polish language.

Access to the documents in the source language is crucial to:

• Avoiding errors or oversimplifications that may arise from the translation of technical terms, philosophical nuances, and novel concepts.

• Ensuring precision in scientific discussion and formal analysis.

• Enabling verification of all mathematical notations and assumptions in their original form.

Interested researchers are encouraged to consult the Polish-language materials to obtain the most authentic and complete understanding of the PMES theory.

A Comprehensive Presentation of the Photon-Membrane and Equilibrium Singularity Theory (PMES)

Title: The Photon-Membrane and Equilibrium Singularity Theory (PMES): A Framework for Emergent Spacetime and Unification

Author(s): Artur Mruszczak (with AI assistance from DeepSeek)

Description:

This document presents a complete and systematic introduction to the Photon-Membrane and Equilibrium Singularity Theory (PMES), a novel and ambitious unified framework proposed to address foundational questions in modern physics. Departing from conventional paradigms, PMES posits that our observable (3+1)-dimensional spacetime is not fundamental but emerges as a statistical approximation from a deeper, 12-dimensional reality structured around a dual (3+3) geometry.

At the theory's core lies the photon-membrane field, Ψ(x, ξ), a fundamental entity whose dynamics in both our familiar spatial coordinates (*x*) and an internal geometric parameter (ξ) give rise to the laws of physics as we know them. The work meticulously outlines how this foundation leads to a geometric derivation of all fundamental constants—including the gravitational constant G, the fine-structure constant α, and the masses of elementary particles—from two simple length scales, offering a potential solution to the long-standing hierarchy problem.

The document is structured to guide the reader from first principles to concrete predictions. It provides PMES's distinctive explanations for several unresolved puzzles in contemporary science:

• The exponential weakness of gravity as a consequence of suppressed coupling between dual spaces.

• The origin of the cosmological arrow of time from the spontaneous symmetry breaking of a primordial "Equilibrium Singularity."

• The non-locality inherent in quantum entanglement, reformulated as correlations within the shared, non-local ξ domain.

• The mechanism of superconductivity, reinterpreted as macroscopic phase coherence in the internal ξ space.

Furthermore, the theory offers novel perspectives on time dilation, the nature of dark energy, and astrophysical phenomena like gravitational wave echoes from neutron star mergers. Crucially, the document does not shy away from the theory's current challenges, explicitly outlining its open problems, such as the need for a complete dynamical equation for Ψ and a rigorous quantization procedure.

Compiled from an extensive analysis of the source materials, this presentation aims to provide the scientific community with a coherent, thorough, and accessible overview of PMES. It is intended to invite rigorous discussion, critical peer review, and collaborative exploration of its postulates, which, if further developed and validated, could signify a profound shift in our understanding of reality from fundamental geometry to emergent law.

Keywords: Unified Field Theory, Emergent Spacetime, Quantum Gravity, Arrow of Time, Photon-Membrane, PMES Theory, Fundamental Constants, Quantum Entanglement, Superconductivity, Cosmology.