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Discussion and Debate
Discussion and Debate
Physical & Life Sciences
Proof of the Constancy of the Speed of Light
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<blockquote data-quote="Kaon" data-source="post: 74748475" data-attributes="member: 407930"><p>The equations E and B are solutions to a set of conditions called the Wave Equation - which says the changes in time for the wave function (WF) is proportional to the changes in space for the WF.</p><p></p><p>The speed of light <strong>in a vacuum, for <u>classical phenomena</u> (i.e. non quantum) </strong>is considered a constant because of the boundary conditions (constraints) of the Wave finction. We find (through those solutions to the Wave equation) that the speed of light evolves out of the math as a costant and maximum of c ~ 300,000,000 m/s, dependent on magnetic and electric permeability.</p><p></p><p>Special relativity attempts to juxtaposition general relativity and quantum mechanics. This is where the speed of light c as a constant and maximum begins to break down, and where SR and even basic QM loses some of its substance.</p><p></p><p>The equations in the OP are evolved from Maxwell's equations for electromagnetic phenomena.</p><p></p><p>1. The divergence of the fields of a charged particle is equal to the CHARGE (not zero). Think of the electric field as a ball with lines coming out of it. If you measure the volume the lines permeate at a certain radius, it will give you the CHARGE expected in that space.</p><p></p><p>2. The divergence of the magnetic field is *alegedly* zero. This means the magnetic field <em>curls in spirals </em>as opposed to diverging in straight lines. If you have seen representations of magnetic fields, you can understand why it curls. This also suggests there are no magnetic monopolies (like there exists electric monopoles), but this is also alleged because of the math (if the divergence of a vector is zero, then there exists a vector potential for which the curl of the vector is nonzero; if the curl of a vector is zero, there exists a scalar potential for which the divergence is nonzero. The math tends to explain the physics more.</p><p></p><p>3. A change in electric field gives a magnetic field</p><p></p><p>4. A change in magnetic field gives an electric field.</p><p></p><p>Electrodynamics can be thoroughly proven in the lab, but there are still issues with classical electroydynamics. Depending on your method of information transfer, c can be greater or smaller than the vacuum value.</p><p></p><p>Entanglement, for example, categorically must exchange information faster than the speed of light (superlunimar).</p></blockquote><p></p>
[QUOTE="Kaon, post: 74748475, member: 407930"] The equations E and B are solutions to a set of conditions called the Wave Equation - which says the changes in time for the wave function (WF) is proportional to the changes in space for the WF. The speed of light [B]in a vacuum, for [U]classical phenomena[/U] (i.e. non quantum) [/B]is considered a constant because of the boundary conditions (constraints) of the Wave finction. We find (through those solutions to the Wave equation) that the speed of light evolves out of the math as a costant and maximum of c ~ 300,000,000 m/s, dependent on magnetic and electric permeability. Special relativity attempts to juxtaposition general relativity and quantum mechanics. This is where the speed of light c as a constant and maximum begins to break down, and where SR and even basic QM loses some of its substance. The equations in the OP are evolved from Maxwell's equations for electromagnetic phenomena. 1. The divergence of the fields of a charged particle is equal to the CHARGE (not zero). Think of the electric field as a ball with lines coming out of it. If you measure the volume the lines permeate at a certain radius, it will give you the CHARGE expected in that space. 2. The divergence of the magnetic field is *alegedly* zero. This means the magnetic field [I]curls in spirals [/I]as opposed to diverging in straight lines. If you have seen representations of magnetic fields, you can understand why it curls. This also suggests there are no magnetic monopolies (like there exists electric monopoles), but this is also alleged because of the math (if the divergence of a vector is zero, then there exists a vector potential for which the curl of the vector is nonzero; if the curl of a vector is zero, there exists a scalar potential for which the divergence is nonzero. The math tends to explain the physics more. 3. A change in electric field gives a magnetic field 4. A change in magnetic field gives an electric field. Electrodynamics can be thoroughly proven in the lab, but there are still issues with classical electroydynamics. Depending on your method of information transfer, c can be greater or smaller than the vacuum value. Entanglement, for example, categorically must exchange information faster than the speed of light (superlunimar). [/QUOTE]
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