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i have asked about this issue, but i think i havent got good answer to the question. can you help me, short answer would be good.

its unclear to me still why there are length contractions or

expansions other than lorenz contraction? Is there a theoretical principle or

result that deny them?

also, is it possible that some object could have length contraction or expansion

when it is in the same inertial reference frame, or does some theoretical principle deny it? this is my question.

the experimental results seem to point out that no other kind of length contractions or expansions exist in nature - they have never been observed in for example in particle experiments (all particles have same identical size), or in astronomy (all atoms in observed universe has exactly same size) . but this is not a result that would deny them of course. What is the true reason, why they do not exist?

if i give you an equation (to be exact), an example of isotropical length expansion/contraction of object that has relative velocity v=0, that is, it is in the same inertial reference frame than its observer. can you say at first sight is there something wrong with it? does it violate some principle?

transformation equation:

let there be two regions of space a and a' and two observers o' and o who are in these regions.

let relative velocity be zero v=0 and lorenz factor B=1, that is,

both regions and observers are in the same rest reference frame.

definition: if region a' has isotropical length expansion or -contraction,

observer o' measures unit length of any object ds =[dx',dy',dz'] to be

dx'= L dx

dy' = L dy

dz'= L dz

where L is contraction factor; if L>1 region a' (and observer o')has length

contraction

if 0<L<1 region a' has length expansion

quantum mechanics seem also to demand that length contraction must have

also different dynamical properties, if you think le broglie wavelength:

if planck's constant h'=h both observers observe planck constanst to be same

AND

le broglie wavelength of any particle measured by o' is l'=h/p' = L (h/p)

implication:

=> p'= (1/L) p observer o' measures any momentum p to be (1/L) times larger

=> E'= (1/L) E

m'= (1/L) m observer o' measures any object to have (1/L) times more energy

and mass

and if time dilation has always strict relation to momentum (as it has for

relativistic particles: dt'=Bdt and p'=(1/B)p => dt'/dt = p/p')

(dt'/dt) = (p/p')

=> dt'= L dt observer o' measures time dilation or expansion L

for any object compared to observer o s observation

example:

if a free neutron would have isotropical length contraction L=1.05:

-neutrons radius would be 1.05 times smaller

-neutrons momentum, mass and rest energy would be 1.05 times larger

-neutrons decay time would be 1.05 times faster (if L is constant)

example 2:

if L oscillates (or vibrates) L = (sin^2)(at) + L0 a is constant

-particles mass, momentum and energy would oscillate

-if two identical particles would collide, their trajectories after

collision would depend on both particles momentum in the moment of

collision. if you dont know the particles exact momentum at the moment of

collision, or their phases, you would have to use propability function.

but wait a minute, is this similar kind of propability function that the

shrödingers wave equation is? in other words can you assume that particles

mass ,energy, momentum, time rate and size oscillates, and its phase is

random variable -and get out quantum statistics similar than what is based on schrödingers wave equation?

(please do not concider this part a speculation. this is mathematical

question: can you get shrödinger equation from these assumptions?)

**i am asking a question, i dont speculate over existing theories, and please do

not think that i am advocating any very stupid crackpot things, or that i am not

satisfied with relativity theory - i am not stupid. i simply want to know theoretical reason why there are no other kind of length contractions - or is there such reason. i just dont have casual interest on physics and i am curious about this issue. a short answer will be good.**

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# Why there are no other kind of length contractions?

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