Hubble time dilation - Revision history

DavidB4-bot: /* top */Spelling, Grammar, and General Cleanup, typos fixed: propotional → proportional

2016-07-11T17:53:41Z

top: Spelling, Grammar, and General Cleanup, typos fixed: propotional → proportional

JimJast at 22:30, September 16, 2011

2011-09-16T22:30:44Z

JimJast at 22:11, September 16, 2011

2011-09-16T22:11:39Z

JimJast at 17:41, August 23, 2011

2011-08-23T17:41:45Z

JimJast: links added

2011-08-23T15:09:10Z

links added

JimJast: adding categories

2011-08-20T12:56:58Z

adding categories

JimJast: typo, category added

2011-08-20T12:45:16Z

typo, category added

JimJast at 18:33, August 7, 2011

2011-08-07T18:33:42Z

JimJast at 18:32, August 7, 2011

2011-08-07T18:32:21Z

JimJast at 18:20, August 7, 2011

2011-08-07T18:20:44Z

@@ Line 1: / Line 1: @@
-The '''Hubble time dilation''' is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer, so for small distances it looks roughly propotional to the distance. The exact effect is
+The '''Hubble time dilation''' is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer, so for small distances it looks roughly proportional to the distance. The exact effect is
 :<math>d\tau/dt=exp(-r/R_s)</math>,
@@ Line 23: / Line 23: @@
 as explained in [[gravitation demystified]] article.
-[[Category: Astronomy]]
+[[Category:Astronomy]]
-[[Category: Cosmology]]
+[[Category:Cosmology]]
-[[Category: Physics]]
+[[Category:Physics]]

@@ Line 3: / Line 3: @@
 :<math>d\tau/dt=exp(-r/R_s)</math>,
-where <math>\tau</math> is proper time at event in deep space (time of deep space), <math>t</math> is coordinate time of the event (time of observer), <math>r</math> is distance to the event in deep space from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''[[Einstein's radius of universe]]'' or <math>R_E</math>). The above equation implies that the ''[[Hubble constant]]'' of our universe equals
+where <math>\tau</math> is proper time at event in deep space (time of deep space), <math>t</math> is coordinate time of the event (time of observer), <math>r</math> is distance to the event in deep space from observer, and <math>R_s</math> is radius of curvature of space (about 13 billion light years, called by cosmologists ''[[Einstein's radius of universe]]'', or <math>R_E</math>). The above equation implies that the observed cosmological redshift is caused by the difference between <math>\tau</math> and <math>t</math> and the ''[[Hubble constant]]'' of our universe equals
 :<math>H_o=c/R_s</math>,
-where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (about 13 billion light years). When this ''[[Hubble constant]]'', being in reality an exponential function
+where <math>c</math> is speed of light in vacuum and <math>R_s</math> is as before the radius of curvature of space. When this ''[[Hubble constant]]'', being in reality an exponential function
 :<math>H(r)=Z/r=[exp(r/R_s)-1]/r</math>,

@@ Line 1: / Line 1: @@
-The '''Hubble time dilation''' is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''[[Einstein's radius of universe]]'' or <math>R_E</math>).
+The '''Hubble time dilation''' is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer, so for small distances it looks roughly propotional to the distance. The exact effect is
-The above equation implies that the ''[[Hubble constant]]'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''[[Hubble constant]]'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"[[dark energy]]"'' since news about ''[[Einsteinian gravitation]]'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.
+:<math>d\tau/dt=exp(-r/R_s)</math>,
 [[Category: Astronomy]]
 [[Category: Cosmology]]
 [[Category: Physics]]

@@ Line 1: / Line 1: @@
-The '''Hubble time dilation''' is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"[[Einstein's radius of universe]]"'' or <math>R_E</math>).
+The '''Hubble time dilation''' is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''[[Einstein's radius of universe]]'' or <math>R_E</math>).
-The above equation implies that the ''[[Hubble constant]]'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.
+The above equation implies that the ''[[Hubble constant]]'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''[[Hubble constant]]'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"[[dark energy]]"'' since news about ''[[Einsteinian gravitation]]'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.
 [[Category: Astronomy]]
 [[Category: Cosmology]]
 [[Category: Physics]]

@@ Line 1: / Line 1: @@
-The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).
+The '''Hubble time dilation''' is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"[[Einstein's radius of universe]]"'' or <math>R_E</math>).
-The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.
+The above equation implies that the ''[[Hubble constant]]'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.
 [[Category: Astronomy]]
 [[Category: Cosmology]]
 [[Category: Physics]]

← Older revision		Revision as of 12:56, August 20, 2011
Line 3:		Line 3:
	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.		The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.

		+	[[Category: Astronomy]]
		+	[[Category: Cosmology]]
	[[Category: Physics]]		[[Category: Physics]]

← Older revision		Revision as of 12:45, August 20, 2011
Line 1:		Line 1:
	The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).		The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).

−	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of ~~desity~~, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.	+	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.
		+
		+	[[Category: Physics]]

← Older revision		Revision as of 18:33, August 7, 2011
Line 1:		Line 1:
	The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).		The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).

−	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of desity, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]].	+	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of desity, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]] articles.

← Older revision		Revision as of 18:32, August 7, 2011
Line 1:		Line 1:
	The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).		The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).

−	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of desity, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math>.	+	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of desity, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math> as explained in [[gravitation demystified]] and [[Einsteinian gravitation]].

← Older revision		Revision as of 18:20, August 7, 2011
Line 1:		Line 1:
	The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).		The '''Hubble time dilation''' is an effect of accumulation of time dilation with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is <math>d\tau/dt=exp(-r/R_s)</math>, where <math>\tau</math> is proper time at point in deep space, <math>t</math> is coordinate time of the point, <math>r</math> is distance to this point from observer, and <math>R_s</math> is radius of curvature of space (called by cosmologists ''"Einstein's radius"'' or <math>R_E</math>).

−	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series it simmulates an accelerating expansion of space as ~~discovered~~ in 1998 and then took for action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered, ~~for alleged little interest to the public~~.	+	The above equation implies that the ''"Hubble constant"'' of our universe equals <math>H_o=c/R_s</math>, where <math>c</math> is speed of light in vacuum and <math>R_s</math> is radius of curvature of space (for our universe, about 13 billion light years). When this ''"Hubble constant"'', being in reality an exponential function is split into Taylor series around <math>t=0</math> it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of ''"dark energy"'' since news about ''"[[Einsteinian gravitation]]"'' were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of desity, approximately, of ours <math>(6\times 10^{-27}kg/m^3)</math>.