Extending E=mc²
Keywords: “a quantum physics extension of the energy equation, albert einstein, e=mc², extending e=mc², Extended e=mc², general relativity, gluon, higgs mechanism, jan klein, mass-energy equivalence, particle physics, qft, quantum field theory, quantum relativity, standard model, vacuum energy”
Abstract
Extending E=mc²
A Quantum Physics Extension of the Energy Equation
From E = γmc² to E = γ( mc² + Σ κᵢΦᵢ )
Einstein’s equation γE=mc² describes the energy of a body moving in empty space. Yet no physical body exists in empty space. Every particle moves through quantum fields: the Higgs field, the strong nuclear field, the electromagnetic field, the gravitational field, and quantum vacuum fluctuations. What happens to the energy equation when we include these fields? I present a generalized expression E = γ( m₀c² + Σ κᵢΦᵢ) derived from the action principle. The sum runs over all fields that couple to the particle. I then examine the conceptual consequences. The extended equation suggests that what we call “mass” is not a primitive property but a summary of field interaction energies. I argue that this does not contradict Einstein but rather makes explicit an assumption in the original derivation: empty space. The paper concludes by discussing how quantum field theory already uses this structure and why making it explicit matters for the philosophy of modern physics.
Einstein’s Empty Space. In 1905, Albert Einstein derived a relationship: E=mc2. For a body in motion, he showed that the energy becomes where γ =1/√ 1−v2/c2 . E=γmc2 , The derivation assumed a body in empty space, free of external potentials or fields. But no real body exists in empty space. Every particle moves through the gravitational field, the electromagnetic field, the Higgs field, the strong nuclear field, and the quantum vacuum. These fields contain energy. They interact with particles. They contribute to what we measure as mass. Should they not appear in the fundamental energy equation?
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Jan Klein | bix.pages.dev
tags: “Extending E=mc²”
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