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About stevebd1

Early life spent working and studying in York UK, 3 year architecture degree at Oxford polytechnic, 2 year architecture diploma at Oxford polytechnic, part-time in US. Worked in both York and London within architectural profession.

Entries by stevebd1

Killing Vector Field & Surface Gravity in Kerr BH Explained

September 6, 2018/0 Comments/in Physics Articles/by stevebd1

Killing Vector Field The Killing vector field is a vector field on a differentiable manifold that preserves the spacetime metric. In other words, it generates an isometry of the metric. Although the Killing vector that corresponds to time translation is timelike (c^2 dt^2 > dr^2) at spatial infinity, it need not be timelike everywhere outside…

LHC Relativistic Energies and Time Dilation at 3.5–14 TeV

September 5, 2018/0 Comments/in Physics Articles/by stevebd1

Large Hadron Collider and proton energies The Large Hadron Collider has produced collisions at 7 TeV. For collisions at 7 TeV, each proton must be ramped to 3.5 TeV. The proton has a mass of 1.6726e−27 kg, which corresponds to a rest energy of 938.272 MeV (1 eV = 1.6022e−19 J). At 3.5 TeV each…

Radial Infall into a Static Mass: Equations & Guide

September 4, 2018/0 Comments/in Physics Articles/by stevebd1

From Exploring Black Holes by John Wheeler and Edwin Taylor. The relations below apply to any object falling radially toward a static, spherically symmetric mass (assuming the mass of the infalling object is much smaller than the central mass). Types of radial infall Drip — dropped from rest at ro Rain — dropped from rest…

Calculate Sgr A* Spin from QPOs — Kerr Metric Derivation

June 9, 2018/3 Comments/in Physics Tutorials/by stevebd1

Introduction This Insight explains how it is possible to calculate the spin of Sagittarius A* — the supermassive black hole at the center of the Milky Way — using a small set of observations and a few equations derived from the Kerr metric. The calculation described below follows the approach in the source paper: Spin…

Time Dilation & Redshift of Schwarzschild Black Holes

September 30, 2015/76 Comments/in Physics Articles/by stevebd1

Time dilation near a Schwarzschild black hole The following is an overview of the time-dilation and gravitational-redshift effects of a static (Schwarzschild) black hole. By general relativity, a strong gravitational field can slow down time. The closer you get to the event horizon of a black hole (if you could survive the tidal gravity gradients…

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