Geometrodynamics Theory: Understanding Time and Length Dilation

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The discussion centers on Geometrodynamics Theory, specifically the implications of time and length dilation as described by the Special Theory of Relativity. It establishes that the speed of light in a vacuum is a constant at 299,792,458 m/s, and that the length of a moving object contracts in proportion to its velocity. The formulas for time dilation and mass acceleration resistance are provided, illustrating that significant time dilation occurs only when an object travels at 14% of the speed of light, with extreme effects at velocities approaching 100% of light speed.

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  • Understanding of Special Theory of Relativity
  • Familiarity with concepts of time dilation and length contraction
  • Knowledge of basic physics formulas and constants, particularly the speed of light
  • Mathematical proficiency to interpret relativistic equations
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The Special Theory - which forms the basis for both the General Theory of Relativity and the laws of Geometrodynamics

is based on the prediction that the velocity of light in the vacuum of space is a constant
[ 299 792 458 m/s ] with the velocity of the lightsource having no additive or subtractive effekt on this constant

Mathematical logic requires that the length of a moving objekt
- in the direction of motion - must be reduced in proportion to it's velocity

due to this reduction in length - the energy required to accelerate the mass of the objekt
through a space which has been 'extended' relative to the objekt
in the direction [dimension] of motion is increased as the objekt accelerates

the net effekt of an extended forward spatial dimension creates a reduced relative time frame for the objekt - resulting in the passage of true time being extended relative to the objekt - since time [the temporal dimension] is perpendicular to the three spatial dimensions - and for the length-reduced objekt becomes scaled relative to the extended forward spatial dimension


Formula for Time / Length Dilation
---------------------------------------------------------------------

square root ~ 1 - ( v2 / c2 )

---------------------------------------------------------------------
Formula for Mass Acceleration Resistance

1 / ( square root ~ 1 - ( v2 / c2 )

where v = % c and c = 100%
---------------------------------------------------------------------


Geometrodynamic Table


% c...% length / time...% mass...mean solar day (seconds)


0.....100......100....86 400, 00
1......99,99......100....86 395, 67
2......99,97......100....86 382, 71
3......99,95......100....86 361, 10
4......99,91......100,1.....86 330, 84
5......99,87......100,1.....86 291, 93
6......99,81......100,1.....86 244, 33
7......99,75......100,2.....86 188, 05
8......99,67......100,3.....86 123, 07
9......99,59......100,4.....86 049, 36
10.....99,49......100,5.....85 966, 91
20.....97,97......102....84 654, 35
30.....95,39......104....82 420, 34
40.....91,65......109....79 186, 90
50.....86,60......115....74 824, 59
60.....80,00......125....69 120, 00
70.....71,41......140....61 701, 93
80.....60,00......166....51 840,00
86,6......50,00......200....43 200, 00
90.....43,58......229....37 660, 87
91.....41,46......241....35 822, 14
92.....39,19......255....33 861, 74
93.....36,75......272....31 757, 14
94.....34,11......293....29 477, 46
95.....31,22......320....26 978, 38
96.....28,00......357....24 192, 00
97.....24,31......411....21 004, 26
98.....19,89......502....17 193, 37
99.....14,10......708....12 188, 21
99,1......13,38......747....11 565, 65
99,2......12,62......792....10 906, 94
99,3......11,81......846....10 205, 07
99,4......10,93......914......9 450, 43
99,5......9,98.....1001......8 531, 91
99,6......8,93.....1119......7 720, 11
99,7......7,74.....1291......6 394, 89
99,8......6,32.....1581......5 461, 68
99,9......4,47.....2236......3 862, 95
99,99......1,41.....7071......1 221, 87
99,999.....0,44.....22 360.....386, 38
99,9999......0,14.....70 711......122, 18
99,99999....0,04....223 613......38, 63
99,999999...0,01...707 113......12, 21
99,9999999.....0,004...2 236 138......3, 86
99,99999999...0,001...7 071 138.....1, 22
99,999999999...0,0004...22 361 380.....0, 38
100......0......Infinity......0


we can see by this table that an objekt must travel at 14% c before even a 1% time dilation occurs

at 86,6% c - relative time for the objekt passes at half the rate of true time

at 96,8% c time passes at 1/4 the true rate

just above 99,9% c - days pass like relative hours

at 99,99995% c time passes at 1% the rate of true time
so a 100 year spaceflight at this velocity passes in 1 relative year
 
Last edited:
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Växan said:
The Special Theory - which forms the basis for both the General Theory of Relativity and the laws of Geometrodynamics

is based on the prediction that the velocity of light in the vacuum of space is a constant
[ 299 729 458 m/s ]

there could be a minor typing error
I remember it as 299 792 458
of course you could be right (and i just remembered wrong)
 
yes, I am sorry it was a typo

thank you for pointing it out, that will teach me to type with boxing gloves on :wink:
 

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