What question did this study set out to answer?

To expose unstated circular assumptions in classical and relativistic derivations of mass–energy equivalence and introduce a generalized operator framework.

August 14, 2026Open Access

The Circular Foundations of Energy–Mass Equivalence: The Carlo Field Compendium and Interactive Operator-Space Visualiser

View Full Paper

Ask AI

Bookmark

Authors

MCMatthew Arthur Carlo

Discussion

Member takes

Overview

Theoretical framework demonstrates structural circularity in standard mass–energy equivalence derivations, highlighting regime-dependent breakdowns across quantum and horizon scales.

Key Points

To expose unstated circular assumptions in classical and relativistic derivations of mass–energy equivalence and introduce a generalized operator framework.
Analyzed structural assumptions across historical derivations of energy–mass equivalence, identifying four core dependencies: continuity, metric stability, locality, and context coherence.
Formulated a closed operator algebra incorporating stability, transformation, context, and transition operators alongside regime-dependent functions.
Developed a computational simulator architecture, domain-specific language, and interactive 3D WebGL visualization tool to model operator dynamics.
Identified that standard derivations inherently embed their conclusions by assuming mass within classical energy and continuity within relativistic spacetime.
Established equivalence as a specific limiting case of a broader operator function, showing that equivalence fractures under quantum discontinuity, horizons, and nonlocality.
Released a complete operator-space compendium and browser-based 3D simulation engine to explore algebraic collapse and regime transitions.

Cite This Study

Matthew Arthur Carlo (2026) studied this question.

synapsesocial.com/papers/6a7ec79cb70b84ec8b914153 https://doi.org/10.5281/zenodo.21901519

View Full Paper

Ask AI

Bookmark

August 14, 2026Open Access

The Circular Foundations of Energy–Mass Equivalence: The Carlo Field Compendium and Interactive Operator-Space Visualiser

View Full Paper

Ask AI

Bookmark

Authors

MCMatthew Arthur Carlo

Discussion

Member takes

Overview

Theoretical framework demonstrates structural circularity in standard mass–energy equivalence derivations, highlighting regime-dependent breakdowns across quantum and horizon scales.

Key Points

To expose unstated circular assumptions in classical and relativistic derivations of mass–energy equivalence and introduce a generalized operator framework.
Analyzed structural assumptions across historical derivations of energy–mass equivalence, identifying four core dependencies: continuity, metric stability, locality, and context coherence.
Formulated a closed operator algebra incorporating stability, transformation, context, and transition operators alongside regime-dependent functions.
Developed a computational simulator architecture, domain-specific language, and interactive 3D WebGL visualization tool to model operator dynamics.
Identified that standard derivations inherently embed their conclusions by assuming mass within classical energy and continuity within relativistic spacetime.
Established equivalence as a specific limiting case of a broader operator function, showing that equivalence fractures under quantum discontinuity, horizons, and nonlocality.
Released a complete operator-space compendium and browser-based 3D simulation engine to explore algebraic collapse and regime transitions.

Cite This Study

Matthew Arthur Carlo (2026) studied this question.

synapsesocial.com/papers/6a7ec79cb70b84ec8b914153 https://doi.org/10.5281/zenodo.21901519

View Full Paper

Ask AI

Bookmark