aggiesean
05-01-06, 03:59 PM
This is the official thread for science-related aspects of the Lost Experience.
Post 1: Canon Science: The Blast Door Map Equations
The following is borrowed from Lostpedia.com's "Hidden Map Equations" article, accessed May 2nd at 10:34 AM CST.
Hidden Map Equations
From LostPedia
There are several equations written as additional notations on the Blast Door Map (http://www.lostpedia.com/wiki/Blast_Door_Map). Two of the equations appear to be engineering/physics equations related to magnetics. There is also third equation, a trignometric problem, in the top left corner of the map.
[edit (http://www.lostpedia.com/index.php?title=Hidden_Map_Equations&action=edit§ion=1)]
Math, equations, science
http://www.lostpedia.com/images/thumb/f/fc/EWimage1.jpg/220px-EWimage1.jpg (http://www.lostpedia.com/wiki/Image:EWimage1.jpg) http://www.lostpedia.com/skins/common/images/magnify-clip.png (http://www.lostpedia.com/wiki/Image:EWimage1.jpg)
Zoomed-in pic from EW.com, where you can see some of the numbers and dates
Underneath "THE SWAN" it says: "3 of 6 (4, 8, 15, 16, 23, 42 (http://www.lostpedia.com/wiki/The_Numbers))"
√16 (which is 4), √64 (8) and √225 (15)
"x 4, y 8, z 15". Underneath it says "SUBTERRANEAN CONDUIT?" These are probably coordinates, describing some location in reference to three axes.
"Valenzetti (http://www.lostpedia.com/wiki/Valenzetti)-related" research was conducted on the Island
There is a trigonometric equation in the top left-hand corner of the map.s = 2r cos 72°
= r · (v5 - 1)/2
w = 2s cos 72° = 4r cos² 72° = r · [(v5 - 1)/2]²
There are also two differential equations (calculus) on the map; both are standard engineering/physics equations.
The B vector equation, on the far right of the map, is magnetic flux density: http://www.lostpedia.com/cgi-bin/mimetex.cgi?\vec B = {\mu_0 \over {4 \pi}} \int_V \vec \nabla \left ( \vec M \cdot \vec \nabla \left ( {1 \over r} \right ) \right ) dV
The H vector equation, in the top left corner of the map, is magnetic field strength: http://www.lostpedia.com/cgi-bin/mimetex.cgi?\vec H = {\mathcal M \over {\mathcal G_p}} {\partial \over {\partial k}} \vec g
There also appear to be two derived values at far right, immediately above "High potential for RVS."
Very tentatively "Bin => G × 104 T" and "Be => B × 106 T". These would seem to suggest preposterously high field strengths.
Another intepretation is that these are some kind of energy equations: http://www.lostpedia.com/cgi-bin/mimetex.cgi?E_m => G \cdot v^2 T and http://www.lostpedia.com/cgi-bin/mimetex.cgi? E_B => B \cdot v^2 T[edit (http://www.lostpedia.com/index.php?title=Hidden_Map_Equations&action=edit§ion=2)]
Theories and commentary
[edit (http://www.lostpedia.com/index.php?title=Hidden_Map_Equations&action=edit§ion=3)]
Solving the equations
The two differential equations shown on the right side of the map are standard engineering/physics equations: B vector, on the far right of the map, and H vector, immediately to the left of "C3?" on the map. B is magnetic flux density. H is magnetic field strength (or intensity).
There is also third equation, a trignometric problem, in the top left corner of the map.
Trig equation
s = 2r cos 72°
= r · (v5 - 1)/2
w = 2s cos 72° = 4r cos² 72° = r · [(v5 - 1)/2]²
(·v5 -1)/2 appears twice in the equation. This number is the golden ratio minus 1 and 1 divided by the golden ratio, which is also known as the golden ratio conjugate.
A regular pentagon has external angles 72° and internal angles 108°.B vector, H vector: General
M, B, H (and E and D not shown here, but exist in g among other places) need to be specified before these equations have any specific meaning (like saying speed = distance / time). As they stand, the equations just demonstrate an interest in magnets.
The equations, in their current form, are only useful if the calculator knows the value of magnetization (M), distance (r), and the variables for the g vector.
H fields and B fields are similar. They are related by the permeability constant (mu).
These are derivations of Maxwell's equations.B vector
http://www.lostpedia.com/cgi-bin/mimetex.cgi?\vec B = {\mu_0 \over {4 \pi}} \int_V \vec \nabla \left ( \vec M \cdot \vec \nabla \left ( {1 \over r} \right ) \right ) dV
B: This is a calculation of the magnetic flux density vector field. It is a measure of magnetic induction, or the ability for two moving B fields to produce an electric potential. It actually looks like a changing magnetic induction calculation, as a static B field doesn't even require using differential equations--meaning this is an attempt to predict the field at some specific time and radius.
The B vector equation looks like the law of Biot and Savart, for calculating the magnetic field due to an electrical current; the gradiants in the integrand may be for calculating an electrical field.
The magnetic field equation looks like a derivative of Biot-Savart, a formula describing what the field strength is on any given point for a coil or set of coils.
4p and the 1/r² are used to describe the surface area of a sphere not a coil.
The B equation is the magnetic field of a magnetic dipole M.H vector
http://www.lostpedia.com/cgi-bin/mimetex.cgi?\vec H = {\mathcal M \over {\mathcal G_p}} {\partial \over {\partial k}} \vec g
H: Defines an actualized magnetic field on a macroscopic scale; the vector squared would give a sort of intensity of the field.
In the H equation there is a constant term (mu/G(p) then a partial with respect to k of a vector g. This is one of the steps involved in finding a magnetic field in the k direction--that is, in the Z direction, or up. There is no indication of the value of the g vector or of the constant. Why would someone write down just an intermediate step in an equation?
In the H equation, the g vector is probably a pointing vector (a cross product of a magnetic and electric field) like a electromagnetic momentum density, and the partial derivative (the lower case delta / delta k) is with respect to k, which is likely the wave number (related to the wavelength of the EM field).
If the calculator of the H equation was looking for magnetic field in the k direction (that is the Z direction, or up) they would have written partial d/dz. (It's very rare to see vector k as a derivative operator). k here probably represents wavenumber (2p/?).
k is widely used in electromagnetism equations as representing the wavenumber, so using a k direction in the H equation would be idiosyncratic.
If k was a wavenumber, why are they taking a partial with respect to it?
Gp represents the "operating power gain" of a transmitting antenna (it's not actually a constant) in antenna theory. The H calculation may be to determine the mag-field strength of an antenna.
The H equation might be Hubble's constant, which gives the rate of recession of distant astronomical objects per unit distance away, it was the main observation which led to the Big Bang theory and gives a rough estimate of the age of the universe.
The H equation might not be Hubble's constant (partly because it's a vector and not a scalar constant!). Although if H is a magnetic field vector, it's not clear what the other constants could be, apart from k which could be wavenumber, so in that respect would fit cosmology more.Retrieved from "http://lostpedia.com/wiki/Hidden_Map_Equations (http://lostpedia.com/wiki/Hidden_Map_Equations)"
:Cowdance:
Post 1: Canon Science: The Blast Door Map Equations
The following is borrowed from Lostpedia.com's "Hidden Map Equations" article, accessed May 2nd at 10:34 AM CST.
Hidden Map Equations
From LostPedia
There are several equations written as additional notations on the Blast Door Map (http://www.lostpedia.com/wiki/Blast_Door_Map). Two of the equations appear to be engineering/physics equations related to magnetics. There is also third equation, a trignometric problem, in the top left corner of the map.
[edit (http://www.lostpedia.com/index.php?title=Hidden_Map_Equations&action=edit§ion=1)]
Math, equations, science
http://www.lostpedia.com/images/thumb/f/fc/EWimage1.jpg/220px-EWimage1.jpg (http://www.lostpedia.com/wiki/Image:EWimage1.jpg) http://www.lostpedia.com/skins/common/images/magnify-clip.png (http://www.lostpedia.com/wiki/Image:EWimage1.jpg)
Zoomed-in pic from EW.com, where you can see some of the numbers and dates
Underneath "THE SWAN" it says: "3 of 6 (4, 8, 15, 16, 23, 42 (http://www.lostpedia.com/wiki/The_Numbers))"
√16 (which is 4), √64 (8) and √225 (15)
"x 4, y 8, z 15". Underneath it says "SUBTERRANEAN CONDUIT?" These are probably coordinates, describing some location in reference to three axes.
"Valenzetti (http://www.lostpedia.com/wiki/Valenzetti)-related" research was conducted on the Island
There is a trigonometric equation in the top left-hand corner of the map.s = 2r cos 72°
= r · (v5 - 1)/2
w = 2s cos 72° = 4r cos² 72° = r · [(v5 - 1)/2]²
There are also two differential equations (calculus) on the map; both are standard engineering/physics equations.
The B vector equation, on the far right of the map, is magnetic flux density: http://www.lostpedia.com/cgi-bin/mimetex.cgi?\vec B = {\mu_0 \over {4 \pi}} \int_V \vec \nabla \left ( \vec M \cdot \vec \nabla \left ( {1 \over r} \right ) \right ) dV
The H vector equation, in the top left corner of the map, is magnetic field strength: http://www.lostpedia.com/cgi-bin/mimetex.cgi?\vec H = {\mathcal M \over {\mathcal G_p}} {\partial \over {\partial k}} \vec g
There also appear to be two derived values at far right, immediately above "High potential for RVS."
Very tentatively "Bin => G × 104 T" and "Be => B × 106 T". These would seem to suggest preposterously high field strengths.
Another intepretation is that these are some kind of energy equations: http://www.lostpedia.com/cgi-bin/mimetex.cgi?E_m => G \cdot v^2 T and http://www.lostpedia.com/cgi-bin/mimetex.cgi? E_B => B \cdot v^2 T[edit (http://www.lostpedia.com/index.php?title=Hidden_Map_Equations&action=edit§ion=2)]
Theories and commentary
[edit (http://www.lostpedia.com/index.php?title=Hidden_Map_Equations&action=edit§ion=3)]
Solving the equations
The two differential equations shown on the right side of the map are standard engineering/physics equations: B vector, on the far right of the map, and H vector, immediately to the left of "C3?" on the map. B is magnetic flux density. H is magnetic field strength (or intensity).
There is also third equation, a trignometric problem, in the top left corner of the map.
Trig equation
s = 2r cos 72°
= r · (v5 - 1)/2
w = 2s cos 72° = 4r cos² 72° = r · [(v5 - 1)/2]²
(·v5 -1)/2 appears twice in the equation. This number is the golden ratio minus 1 and 1 divided by the golden ratio, which is also known as the golden ratio conjugate.
A regular pentagon has external angles 72° and internal angles 108°.B vector, H vector: General
M, B, H (and E and D not shown here, but exist in g among other places) need to be specified before these equations have any specific meaning (like saying speed = distance / time). As they stand, the equations just demonstrate an interest in magnets.
The equations, in their current form, are only useful if the calculator knows the value of magnetization (M), distance (r), and the variables for the g vector.
H fields and B fields are similar. They are related by the permeability constant (mu).
These are derivations of Maxwell's equations.B vector
http://www.lostpedia.com/cgi-bin/mimetex.cgi?\vec B = {\mu_0 \over {4 \pi}} \int_V \vec \nabla \left ( \vec M \cdot \vec \nabla \left ( {1 \over r} \right ) \right ) dV
B: This is a calculation of the magnetic flux density vector field. It is a measure of magnetic induction, or the ability for two moving B fields to produce an electric potential. It actually looks like a changing magnetic induction calculation, as a static B field doesn't even require using differential equations--meaning this is an attempt to predict the field at some specific time and radius.
The B vector equation looks like the law of Biot and Savart, for calculating the magnetic field due to an electrical current; the gradiants in the integrand may be for calculating an electrical field.
The magnetic field equation looks like a derivative of Biot-Savart, a formula describing what the field strength is on any given point for a coil or set of coils.
4p and the 1/r² are used to describe the surface area of a sphere not a coil.
The B equation is the magnetic field of a magnetic dipole M.H vector
http://www.lostpedia.com/cgi-bin/mimetex.cgi?\vec H = {\mathcal M \over {\mathcal G_p}} {\partial \over {\partial k}} \vec g
H: Defines an actualized magnetic field on a macroscopic scale; the vector squared would give a sort of intensity of the field.
In the H equation there is a constant term (mu/G(p) then a partial with respect to k of a vector g. This is one of the steps involved in finding a magnetic field in the k direction--that is, in the Z direction, or up. There is no indication of the value of the g vector or of the constant. Why would someone write down just an intermediate step in an equation?
In the H equation, the g vector is probably a pointing vector (a cross product of a magnetic and electric field) like a electromagnetic momentum density, and the partial derivative (the lower case delta / delta k) is with respect to k, which is likely the wave number (related to the wavelength of the EM field).
If the calculator of the H equation was looking for magnetic field in the k direction (that is the Z direction, or up) they would have written partial d/dz. (It's very rare to see vector k as a derivative operator). k here probably represents wavenumber (2p/?).
k is widely used in electromagnetism equations as representing the wavenumber, so using a k direction in the H equation would be idiosyncratic.
If k was a wavenumber, why are they taking a partial with respect to it?
Gp represents the "operating power gain" of a transmitting antenna (it's not actually a constant) in antenna theory. The H calculation may be to determine the mag-field strength of an antenna.
The H equation might be Hubble's constant, which gives the rate of recession of distant astronomical objects per unit distance away, it was the main observation which led to the Big Bang theory and gives a rough estimate of the age of the universe.
The H equation might not be Hubble's constant (partly because it's a vector and not a scalar constant!). Although if H is a magnetic field vector, it's not clear what the other constants could be, apart from k which could be wavenumber, so in that respect would fit cosmology more.Retrieved from "http://lostpedia.com/wiki/Hidden_Map_Equations (http://lostpedia.com/wiki/Hidden_Map_Equations)"
:Cowdance: