"विज्ञान के नियम" (अनुभाग) सम्पादित करें

== आइंस्टीन के नियम ==

:* [[Energy]] of [[photon]]s - Energy equals [[Planck's constant]] multiplied by the [[frequency]] of the [[light]].
::<math> E \ = hf </math>

: '''[[Special Relativity]]'''
:* Constancy of the [[speed of light]]
:* [[Lorentz transformations]] - Transformations of [[Cartesian coordinate system|Cartesian coordinates]] between relatively moving [[reference frame]]s.
:*: <math>x' = (x - vt) / \sqrt{1 - v^2/c^2}</math>
:*: <math>y' = y</math>
:*: <math>z' = z</math>
:*: <math>t' = (t - vx/c^2) / \sqrt{1 - v^2/c^2}</math>
:* [[E=mc2|Mass-energy equivalence]]
:*: <math> \ E = mc^2 </math> ([[Energy]] = [[mass]] × [[speed of light]]<sup>2</sup>)

: '''[[General Relativity]]'''
:* Energy-momentum (including mass via ''E=mc''<sup>2</sup>) curves spacetime.
:*: This is described by the [[Einstein field equations]]:
:*: <math>R_{ab} - {1 \over 2}R\,g_{ab} = {8 \pi G \over c^4} T_{ab}.</math>
:*: <math>R_{ab}</math> is the [[Ricci tensor]], <math>R</math> is the [[Ricci scalar]], <math>g_{ab}</math> is the [[metric tensor (general relativity)|metric tensor]], <math>T_{ab}</math> is the [[stress-energy tensor]], and the constant is given in terms of <math>\pi</math> ([[pi]]), <math>c</math> (the [[speed of light]]) and <math>G</math> (the [[gravitational constant]]).
:*: <math> \ E=mc^2</math> where <math>m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}</math>

{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}{{अनुवाद}}== न्यूटन के नियम ==
* [[Newton's laws of motion]] - Replaced by [[theory of relativity|relativity]]
:# [[Inertia|Law of Inertia]]
:# <math> \ F = d(\vec p)/dt </math>. Although it implies <math> \ F = ma </math>, that is not necessarily true.
:# <math>F_{ab}=-F_{ba}</math>. Force of a on b equals the [[ऋणात्मक संख्या|negative]] force of b on a, or for every [[action (physics)|action]] there is an equal and opposite [[Reaction (physics)|reaction]].
* [[Law of heat conduction]]
* [[gravity|General law of gravitation]] - [[Gravitational force]] between two objects equals the [[gravitational constant]] times the product of the [[mass]]es divided by the [[distance]] between them squared.
:* <math> F_g = G \frac{m_1m_2} {r^2} </math>
:* This law is really just the low limit solution of [[Einstein's field equations]] and is not accurate with modern high precision gravitational measurements.