Continuous Two-Electron Theory of Electromagnetism
Why this work is in the frame
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Bibliographic record
Abstract
This research programme continues with its fundamental analysis of the electromagnetic interaction. In contrast to the continuous charge model of electricity that is today used as the foundation for presentations of classical electro-magnetism (CEM), this paper now analyzes the continuous interaction of pairs of charged point particles that better reflects the known basis of electricity – electrons. This analysis first demonstrates that all continuous theories of interaction between point particles that exhibit inertial resistance to changes in their motion are inconsistent with all asynchronous action-at-a-distance forms of interaction or equivalently, interactions limited to points on their ‘light-cone’. This research programme is an extension of the Newtonian scheme of classical mechanics that represents the locations of point particles, not by standard algebraic vectors but by a more powerful, non-commutative complex algebra, based on Hamilton’s quaternions, called here ‘Natural Vectors’. This NV representation is extended here from representing a single location (the ‘field point’) to representing the differences between pairs of point objects; this automatically advances the idea that even ‘classical’ electrons must be treated as ‘fermions’ (as this is an anti-symmetric algebraic representation). Adding the assumption of separability of the electromagnetic momentum to the previous single-time version now reproduces Planck’s 1907 infamous proposal (not Einstein’s) for defining relativistic forms of single particle momentum and energy but now in terms of EM electro-kinetic momentum between two particles, in contrast to Planck’s original but unphysical assumption of a constant, mechanical force on a single particle that required the Lorentz transformation. This paper also extends this new two-electron viewpoint to many-body situations involving myriads of pair-wise interactions by showing that classical electromagnetism is a consequence of the statistical effects of very many of these interactions arising from multiple, remote electrons moving within metallic conductors on one or many ‘target’ electrons. A new discrete, many-body approximation model (“Mesoscopic Electrodynamics”) is developed here that is shown to be a covering theory for the standard (continuum) model of CEM. The emphasis here is shifted back from empty space to the actual experiments involving electrical currents in metallic wires that were the real foundation for CEM’s integral and differential equations, which only summarized these effects mathematically but never provided any physical justification or insights. This theory now extends the rival, forgotten (‘continental’) approach to CEM to directly include radiation, as just a long-range induction effect, removing the only advantage previously associated with Maxwell’s field theory. It also links directly to Newtonian mechanics to provide a seamless unity to all of classical physics. These results now demonstrate that, contrary to the orthodox consensus, Maxwell’s Equations (as a field theory) are not a fundamental model for understanding the basic interaction between any types of elementary particles. This view challenges the last 150 years in theoretical physics that has been constructed only on the mathematics of continuous fields, leading to quantum field theories. This approach eliminates the force densities (electric and magnetic fields), the ‘instant’ Coulomb potential and the single-time (‘God-like’) view of nature that have dominated physics for 300 years, only because these ideas could use the simplified (but well-studied) mathematical representation of differential equations. *Surrey B.C. Canada (604) 542-2299spsi@shaw.ca © H. J. Spencer Version 2.180 29-04-2011 Version 1.0 21-10-2007 [123 pp;94Kw]
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it