Halliday's blog
http://www.science20.com/theory_just_about_anything
Science 2.0® - Science for the next 2,000 yearsenWhat Is The Geometry Of Spacetime? — Wrap-Up: Why Does Any Of This Matter?
http://www.science20.com/theory_just_about_anything/what_iis_geometry_spacetime_%E2%80%94_wrapup_why_does_any_matter-127037
I'm sorry I've been away so long: The "press of life" got the "better of me". Sometimes, life just "gets in the way". (No excuses. I simply had other "things" that needed to take priority. Unfortunately, I don't see that changing any time soon. So, unfortunately, I cannot promise to have an especially active presence here for the foreseeable future.)<p>[Note: Since the creation of footnotes and cross references can be so tedious on this site, I shall go ahead and publish this version of this article without such, at first. However, I shall endeavor to add such in as I can find the time. I apologize for the lack of "polish" or completeness this will produce, at this time, but feel it will help me get this out to you in a more timely mann</p>
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<p><a href="http://www.science20.com/theory_just_about_anything/what_iis_geometry_spacetime_%E2%80%94_wrapup_why_does_any_matter-127037" target="_blank">read more</a></p>http://www.science20.com/theory_just_about_anything/what_iis_geometry_spacetime_%E2%80%94_wrapup_why_does_any_matter-127037#commentsPhysicsMon, 30 Dec 2013 20:36:38 +0000David Halliday127037 at http://www.science20.comWhat Is The Geometry Of Spacetime? — What Kinds Of Inner-Products/Metrics?
http://www.science20.com/theory_just_about_anything/what_geometry_spacetime_%E2%80%94_what_kinds_innerproductsmetrics-97160
We ended the second article in this series with the audacious claim that we have obtained the <a href="/uploads/328899205-494752366.m4a"><strong>METRIC</strong></a>.<a href="http://www.science20.com/theory_just_about_anything/what_geometry_spacetime_%E2%80%94_what_kinds_innerproductsmetrics-97160#footnote1" id="return1"><sup>1</sup></a> Quite frankly, I expected to hear a howl of protest to my brazen assertion that we had actually gotten so far. We certainly hadn't obtained anything quite like the usual matrix or tensor form of a metric, or even a "line element", nor had we seen how this has any relationship to the usual "strangeness" of the Special Theory of Relativity.<p>It is the issues/questions of the metric, its relationship to the inner or dot product, and what forms it </p>
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<p><a href="http://www.science20.com/theory_just_about_anything/what_geometry_spacetime_%E2%80%94_what_kinds_innerproductsmetrics-97160" target="_blank">read more</a></p>http://www.science20.com/theory_just_about_anything/what_geometry_spacetime_%E2%80%94_what_kinds_innerproductsmetrics-97160#commentsPhysicsMon, 26 Nov 2012 23:38:22 +0000David Halliday97160 at http://www.science20.comWhat Is The Geometry Of Spacetime? — What Is Space? — Inner-Product Spaces
http://www.science20.com/theory_just_about_anything/what_geometry_spacetime_%E2%80%94_what_space_%E2%80%94_innerproduct_spaces-89726
Since "spacetime" is simply a term for a space that has a component we call "time", we need only concentrate on spaces in a somewhat general sense. Now, as <a target="_blank" href="http://www.science20.com/profile/derek_potter">Derek Potter</a>, on this site, pointed out to me, <a target="_blank" href="http://www.science20.com/faze_space/blog/time_travel_paradoxes-87877#comment-106498">a little while ago</a>, "To us, a space is somewhere to put a box :)" So, let's take a short "detour" to address what we will mean by a space, in this series.<br />
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<p><a href="http://www.science20.com/theory_just_about_anything/what_geometry_spacetime_%E2%80%94_what_space_%E2%80%94_innerproduct_spaces-89726" target="_blank">read more</a></p>http://www.science20.com/theory_just_about_anything/what_geometry_spacetime_%E2%80%94_what_space_%E2%80%94_innerproduct_spaces-89726#commentsPhysicsSat, 12 May 2012 05:00:14 +0000David Halliday89726 at http://www.science20.comWhat Is The Geometry Of Spacetime? — Introduction
http://www.science20.com/theory_just_about_anything/what_geometry_spacetime_%E2%80%94_introduction-89410
<p>Many people struggle with, and even rail against, Einstein's Special Theory of Relativity. The way it is usually taught or presented often seems to make it appear to be ever so complex, far too abstract and opaque, and even downright "hokey".* My experience certainly allows me full empathy for such struggles.</p><p>However, through my journey through these struggles, I did find the kernel, the "missing piece", even the "gem", so to speak, behind the theory. I suspect that this kernel may be what is missing in the understanding of those that struggle with, or, maybe, even rail against, Einstein's Special Theory of Relativity. I know I could have easily fallen into this category.</p>
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