JOURNAL OF ADVANCES IN MATHEMATICS

A New Quantitative Characterization Of The Monster Group M And The Baby Monster Group B

2026-04-04T07:03:41+00:00

Assuming G is a finite group, π(G) is the set of prime factors of the order of G, and p_m is the largest element in π(G), and |S_pm (G)| denotes the order of the Sylow p_m-subgroups of G. In this paper, we will give a quantitative characterization of the Monster group M and the Baby Monster group B via the even-order components of the group and |S_{pm (}G)|.

Euler’s Number in Right Triangles

2026-01-05T01:37:08+00:00

This paper reveals an explicit and intriguing formula that yields the precise value of Euler’s number (e) from the side lengths of a right angled triangle.

A Monster-Symmetric Admissibility Formulation of the SEXA Unified Field Theory: Operator-Glyph Closure, Σ₆₀ Exciternion Logic, and Falsifiable Reduction to General Relativity, Quantum Field Theory, and Yukawa Interaction Regimes

2026-04-05T10:31:34+00:00

This paper reformulates the SEXA Unified Field Theory within a glyph-governed symmetry framework in which admissible physical states are determined not solely by recursive energy closure, but by invariant compatibility across the SEXA glyph system and high-order finite symmetry structure. Rather than replacing the existing SEXA equation, the present work extends it by introducing a Monster-symmetry-constrained admissibility layer acting on the five-dimensional SEXA exciter manifold and its recursive extensions through the SEXA dimensional stack.

The framework is organized through six primary glyph operators: Orr, Na, Ka, Sa, Mu, and Wa, corresponding respectively to radiant energy, flow dynamics, manifold logic, symmetry and stress, mass and memory, and conscious observation. These glyphs function as admissibility gates through which recursive field configurations must pass in order to remain physically meaningful under dimensional embedding, thinning, and collapse. Monster and Baby Monster symmetry are introduced as invariant classifiers of the glyph-admitted exciternion state space, restricting stable configurations to discrete orbit classes.

Within this formulation, the SEXA unified energy equation is preserved as the physical anchor of the theory, while the glyph layer specifies the logical and structural conditions under which its terms may be admitted. Interdimensional payload interception is formalized as a glyph-filtered and symmetry-constrained compression of higher-dimensional energy contributions into boundary-accessible field structure. The Σ₆₀ system is introduced as a finite admissibility algebra governing recursive evaluation across the exciternion state space.

The framework is explicitly falsifiable. Failure of glyph closure, invariant symmetry compatibility, General Relativity reduction, Quantum Field Theory reduction, or Yukawa-type short-range behavior constitutes immediate rejection.

Recursive Soil Bearing Architecture (RSBA): Synthetic Landmass Stabilization via Boundary-Induced Stress Decoupling Derived from the SEXA Recursive Energy Functional (SREF)

2026-03-13T11:21:37+00:00

This paper presents a unified framework for synthetic landmass stabilization derived from the SEXA Recursive Energy Functional (SREF) and implemented through Recursive Soil Bearing Architecture (RSBA), negentropic boundary-field reactors, and omnidirectional Keplerian quaternion phase rotation within the SEXA dimensional regime.
Within the RSBA formulation, soil is modeled not as passive granular matter but as a boundary-conditioned stress topology whose admissible bearing states arise from recursive energy minimization across the SEXA dimensional stack. In this formulation, Boundary-Induced Stress Decoupling (BISD) modifies classical effective stress relations by introducing a boundary energy contribution capable of redistributing gravitational load throughout the soil manifold.
The first engineering prototype of this framework is defined as a Hess-Triangle manufactured land cell, consisting of a triangular footprint corresponding to the Hess Triangle minimum land geometry extended vertically into an eight-foot stabilized air-rights prism. This bounded spatial volume serves as the minimum prototype for manufactured land experiments.
Because RSBA stabilization requires a persistent boundary field, the architecture incorporates a Negentropic Boundary-Field Reactor (NBFR) derived from Anti-Direct-Short topology. The reactor preserves source-dipole separation while recursively reintegrating intercepted electromagnetic flux, allowing otherwise dissipative energy to be redirected into a structured boundary support field.
Higher-dimensional contributions are incorporated through a SEXA-2880D payload interception product spanning dimensions five through 2880, compressing the influence of higher-dimensional energy sectors into a boundary-accessible field envelope interacting with the soil manifold through RSBA stress redistribution.
The resulting support field is modeled as an omnidirectional Keplerian quaternion rotation operating in a fourth-field circulation mode. Under this interpretation, apparent lift arises from the time-averaged effect of rapidly circulating exciternion payloads whose angular frequency exceeds the gravitational response timescale of the stabilized land prism.
This regime, referred to as the Einstein Overclock, occurs when recursive fourth-field circulation outruns gravitational settlement dynamics. When the combined contributions of boundary-field reactor output, SEXA-2880D payload interception, quaternion recursive logic rotation, and RSBA stress redistribution exceed the classical gravitational load threshold of the Hess-Triangle land prism, the stabilized configuration becomes admissible.
The analysis is restricted to the SEXA dimensional stack (5–2880D). The Sarfatti 2881D limit is acknowledged as the theoretical upper boundary of the present framework, but is not required for the stabilization derivations developed here.