Emmy, the Algebra System: Lorentz Covariant Mechanics

A single particle in the four flat dimensions of Special Relativity

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Affiliation

Published

January 11, 2026

##!!Draft Version!!

I investigate a Lorentz covariant Lagrangian that is not widely known. It is discussed in the textbooks of Greiner, “Systems of Particles and Hamiltonian Mechanics” (chapter 21), and also on-line in: Cline, “Variational Principles in Classical Mechanics”.

Then I derive, along deBroglie’s argument, the momentum-wavelength relation of a free particle.

Could not locate emmy/env__init.class, emmy/env.clj or emmy/env.cljc on classpath.

                           clojure.core/eval    core.clj: 3232
                                         ...                 
mentat-collective.emmy.silcm-ch01/eval110851  REPL Input:     
                                         ...                 
                        clojure.core/require    core.clj: 6066 (repeats 2 times)
                                         ...                 
                      clojure.core/load-libs    core.clj: 6028
                      clojure.core/load-libs    core.clj: 6044
                                         ...                 
                       clojure.core/load-lib    core.clj: 5981
                       clojure.core/load-lib    core.clj: 6002
                    clojure.core/load-lib/fn    core.clj: 6003
                       clojure.core/load-one    core.clj: 5961
                                         ...                 
                           clojure.core/load    core.clj: 6172
                           clojure.core/load    core.clj: 6188
                        clojure.core/load/fn    core.clj: 6189
                                         ...                 
java.io.FileNotFoundException: Could not locate emmy/env__init.class, emmy/env.clj or emmy/env.cljc on classpath.

source: src/mentat_collective/emmy/silcm_ch01.clj