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Einstein & Causality
🔹Suppose you are standing at origin 𝑂
A light pulse at 𝑂 defines a Light Cone (LC)
(1) All events you could possibly influence lie within your Future LC
(2) All events that could influence you lie within your Past LC
(3) Outside LCs=causally disconnected
🔹Suppose you are standing at origin 𝑂
A light pulse at 𝑂 defines a Light Cone (LC)
(1) All events you could possibly influence lie within your Future LC
(2) All events that could influence you lie within your Past LC
(3) Outside LCs=causally disconnected
In Special Relativity:
(1) Events within your light cone are called “timelike separated”
(2) Events outside your light cone are called “spacelike separated”
(3) Events on the surface of the light cone are called “lightlike separated”
(1) Events within your light cone are called “timelike separated”
(2) Events outside your light cone are called “spacelike separated”
(3) Events on the surface of the light cone are called “lightlike separated”
In SR, all events take place in a vector space called Minkowski Space (𝕄⁴)
🔹I've made a table of the differences between 𝕄⁴ and the familiar ℝ³
🔹 𝕄⁴ completely encodes the structure of causality
Note: time and space can now be "mixed up" by matrices in 𝕄⁴
🔹I've made a table of the differences between 𝕄⁴ and the familiar ℝ³
🔹 𝕄⁴ completely encodes the structure of causality
Note: time and space can now be "mixed up" by matrices in 𝕄⁴
