Academic
Correspondence
Academic Correspondence | Research Dialogues
Theoretical Framework
Our research synthesizes Grothendieck's mathematical frameworks with contemporary photonic theory, exploring negative effective mass phenomena through computational topology , symmetry and quantum field theory. Various other mathematical techniques are covered. This interdisciplinary approach enables novel insights into photon behavior in metamaterials. The medicine side our research focus on directed evolution and drug development to aid the condition of the autistic patient.
New Research Release: The Holographic State Space
In my recent work I introduce a universal Hilbert space, termed the Holographic State Space, envisioned as a “cosmic storehouse” that encompasses all possible quantum histories of the universe as basis states. Observable, classical reality is portrayed as emerging via a projection event, where a late‑time boundary condition (akin to an observation) “collapses” the universal state vector into a consistent set of histories.
We are inviting input: We appeal to the audience—namely, fellow researchers, theorists, or students—to help solve the relationship between negative effective mass and the Higgs field.
Quantum Eigenstate Dynamics for Artificial General Intelligence Synthesis
Publication covering technical exchange on quantum eigenstate manipulation using superconducting qubit arrays for photonic computing. Here i deliver a proof, how a quantum chip is able to understand and differentiate between `yes and no` far beyond the capacity of average binary code and binary computers.
View Publication →Illuminating the Breakthrough: A Dual Verification of the Geometric Langlands Conjecture Proof
i wrote a (double)proof in support of the evidence. Hopefully this will draw more attention to the proof.
View Publication →Grothendieck's Mathematical Techniques and their Potential Applications in Photonics
Unobserved Photonic States in Higher Dimensions: A Bridge Between Mirzakhani Geometry, Langlands Program, and Supersymmetry
View Publication →A Novel Approach to Precision Medicine for Autism: Integrating CRISPR-Cas9 Technology, Brain Organoids, and Circadian Rhythm Insights
Directed-evolution centered precision medicine for the autistic patient.
View Publication →Illuminating the Breakthrough: A Dual Verification of the Geometric Langlands Conjecture Proof
we recapitulate the essential steps of the original proof, focusing on the construction of the Langlands functor
View Publication →On Higher-Dimensional Soul Perturbations via Higgs–Photon Couplings
We propose an extension of the photon soul theorem to higher-dimensional geometries where the electromagnetic field acquires novel topological couplings to the Higgs sector.
View Publication →Identifying Theoretical Gaps in Hawking's Black Hole Radiation Model in Light of Modern Photonics and Higher-Dimensional Photon Propagation : Photon-Coupled Soft Hair and Higher-Dimensional Photon Channels A Critical Extension of the Soft-Hair Formalism
This paper will reexamine Hawking’s framework by incorporating photonic propagation models drawn from modern optical physics, extended to higher-dimensional scenarios.
View Publication →A Unified Framework for Photon-Soul Continuity: From Deterministic Stability to Stochastic Renormalization and Geometric Averaging
This framework addresses the three central challenges inherent to the theory: establishing the deterministic stability of the system, rigorously defining the model in the presence of singular quantum fluctuations, and making testable predictions despite unknown extra dimensional geometries.
View Publication →The Holographic State Space: A Mathematical Formalism for the Cosmic Storehouse: Proto-theory
We posit the existence of a universal Hilbert space, termed the Holographic State Space
View Publication →Photon Soul Theorem
in this experimental work, we use techniques derived from algebraic geometry and spectral sequences to show that certain topological obstructions in a photon’s field structure can lead to reduced interference contrast (photon soul effect)
View Publication →Photon Soul Continuity: An Unobserved Extension of Maxwell's Equations
We formulate the law, derive its consequences, and outline experimental signatures.
View Publication →Photon Soul Resonance: A Breakthrough Extension of Soul Continuity
We present a dramatic extension of the Photon Soul Continuity framework, introducing the principle of Photon Soul Resonance (PSR).
View Publication →Evaluating Large Language Model Meta-Cognition via the Advanced AGI-AI Self-Awareness Test (AISA-T)
In this work we propose AISA-T, a new intelligence test for both AI and AGI systems.
View Publication →Photon Soul Continuity - Unobserved Extension of Maxwell's Equations: Pathways
This extended manuscript includes the original formulation and a detailed discussion of the physical interpretation
View Publication →Beyond the Standard Model: Analytic Approach for the detection related to Unobserved Laws of Nature
This paper provides a mathematical exposition of the SM’s structure, followed by an analysis of its limitations---hierarchy problems, neutrino mass generation, CP-violation insufficiency, lack of a quantum theory of gravity, and gauge coupling unification failure.
View Publication →After the Higgs: Missed Opportunities in Gauge Vacuum Diagnostics and the Photonic Sector
We argue that the post-2012 focus of the high-energy physics community—while historically productive—systematically underweighted the gauge-vacuum diagnostics that the Brout–Englert–Higgs (BEH) mechanism makes uniquely accessible.
View Publication →Yang–Mills Existence and Mass Gap in Four Dimensions: Important hints and clues
Solving this problem, comes with a notorious reward of one million dollars. We present a partial completed proof for the four-dimensional Yang–Mills existence and mass gap problem.
View Publication →Bose's Photonic Mathematics Revisited: Entropic Optimization, Polylogarithmic Asymptotics, and Categorical Coherence from Symmetric Functions to ZX-Calculus
Is it possible to deepen and reframe S. N. Bose’s 1924 photonic breakthrough?
View Publication →The Animate and the Inanimate in Pure Mathematics: A Modern Reappraisal of William James Sidis's Underrated Viewpoint
This paper provides a purely mathematical formulation of Sidis’s idea
View Publication →A Follow-up Work to AISA–T: Elucidating the Human Evaluation Rubric for AGI Self-Awareness
This follow-up work proposes a comprehensive rubric designed to standardize the human evaluation process for AGI-level responses.
View Publication →- © Peter De Ceuster 2024-2026