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- From: tigelaar@epcot.spdc.ti.com (Howard Tigelaar)
- Subject: An Alternative Physical Model for SR
- Message-ID: <1992Dec28.163045.15897@spdc.ti.com>
- Keywords: Minkowski SR Special Relativity
- Sender: usenet@spdc.ti.com (USENET News System)
- Nntp-Posting-Host: epcot
- Organization: TI Semiconductor Process and Design Center
- Date: Mon, 28 Dec 1992 16:30:45 GMT
- Lines: 143
-
- A second physical model is presented which also explains the
- equations of special relativity and Minkowski diagrams. I realize
- there is virtually no chance of this model being correct but I
- would like to know if this model was considered before and if so
- what experimental evidence was used to reject it or if I have made
- fundamental errors in developing this proposed model. In special
- relativity, we first choose a physical model of the photon and then
- use the equations of special relativity to predict space/time
- interactions given the model. It is more the physical model of the
- photon than the equations of special relativity that determines the
- physics of space/time.
-
- Consider a 3-D Minkowski diagram where the the z-axis is time.
- The light cone starts at the origin and spreads out in the positive
- t direction at 45 degree angles. At t = t1 > 0, the cone
- intersects the xy plane forming a circle. Observers who are
- located on the circumference of this circle in the stationary frame
- of reference will see the event at t = t1. At t' = t1' > 0 the
- light cone intersects the x'y' plane at an angle forming a circle
- in the moving x',y',t' coordinate system (or an ellipse if viewed
- in the x,y,t coordinate system.) Moving observers who are
- stationed on the circumference of their circle in the x'y' frame
- see the event at t' = t1' when the light cone intersects their
- locations. The xy plane and the x'y' plane intersect. Time is the
- same (t = t1 = t1') for the two reference frames on the line of
- intersection. The two circles of observers also intersect on this
- line. Moving and stationary observers located at these unique
- intersection points witness the event at the same time t = t' = t1
- = t1' regardless of which model is used.
-
- The physical model of the photon which is currently used to
- interpret the Minkowski diagram depicts photons as localized points
- in space. With this model moving and stationary observers must be
- at the same point on the light cone to observe the event. (If
- both the stationary and the moving observers have detectors, both
- detectors will register photon capture when they are next to each
- other). It follows from this model that time is the same for all
- stationary observers on the circle but is different for each of the
- moving observers who are located on the same circle. Time must be
- different for each of the moving observers since they are located
- at different time positions, on their time (t') axis. Using this
- model we conclude that events which are simultaneous in the
- stationary frame are not simultaneous in the moving reference
- frame. The model of a photon that is localized at the same point
- in space for all reference frames is required to arrive at this
- conclusion.
-
- Consider now a different model. The photon still appears to be
- localized at one point in any given reference frame, but is not
- localized at the same point from reference frame to reference
- frame. This can be illustrated with a reinterpretation of the
- Minkowski diagram. Instead of saying that the photon is located at
- one point on the light cone for all reference frames we say for any
- given reference frame the photon appears to be located where the
- light cone intersects the xy plane for that frame. In other words
- at any given instant to capture photons from the event you must
- locate your detector on the xy plane if you are stationary or on
- the x'y' plane if you are moving. If both photon detectors have a
- light on top that blinks when it captures photons from the event,
- then using the current model the lights on the moving and
- stationary detectors would both blink when the detectors are next
- to each other whereas in the model being proposed here they would
- not. In this new model the photon must have a more extended
- presence in space such that this photon could be detected by a
- stationary observer where the light cone intersects the xy plane or
- a moving observer where the light cone intersects the x'y' plane.
-
- The equations of special relativity and the Minkwoski diagrams
- stay the same but their meaning changes with the proposed model.
-
- Old Model: Both the stationary and the moving observer see the
- event when they are next to each other. The time on their watches
- is different. t1 is the time on the stationary observer's watch
- and t1' is the time on the moving observer's watch when they both
- see the event. x1 is the distance of the stationary observer from
- his origin and x1' is the distance of the moving observer from his
- origin.
-
- Proposed model: The stationary observer sees the event when the
- moving observer is next to him, but the moving observer does not
- see the event. The time on their watches is the same when they are
- next to each other. x1 is the distance of the stationary observer
- from his origin and x1' is the distance of the moving observer from
- his origin. t1 is the time when the stationary observer sees the
- event. t1' is the time when the moving observer WILL see the event
- (or already saw the event depending upon where he is located on the
- circle.)
-
- The only measurable difference between the two models that I can
- find is whether moving and stationary observers see the event when
- they are next to each other or not.
-
- Both models are consistant with the equations of special relativity
- and with Minkowski diagrams. In the current model the particle
- like behavior of the photon forces the strange space/time
- interactions we are fimilar with. In the alternative model
- presented here, the photon is strange in that it appears to be at
- a different location depending upon the reference frame but space
- and time take on a more normal appearance.
-
- It is interesting that two such different models seem to give
- almost the same experimental results.
-
- 1. In both models the event occurs at t = t' = 0 and at
- x = x' = y = y' = 0.
-
- 2. In both models the stationary observer sees the event at
- time t = t1 and at location x = x1.
-
- 3. In both models the moving observer sees the event at
- time t' = t1' and at location x'= x1'.
-
- 4. In both models the moving observer is next to the
- stationary observer when the stationary observer sees the
- event.
-
- The only difference that I can see between the two models that can
- be experimentally determined is
-
- 5. In the current model the stationary observer is next to the
- moving observer when the moving observer sees the event.
- In the proposed model the stationary observer is NOT
- next to the moving observer when the moving observer sees
- the event. (Note: The moving observer will be next
- to the stationary observer when the stationary observer
- sees the event for both models but the reverse is not true.
- The stationary will or will not be next to the moving
- observer when the moving observer sees the event depending
- upon which model is used.
-
- The difference between the two models can be summarized as follows:
- In the current model, observers must be at the same point in space
- to observe an event. As a consequence time in the two reference
- frames is different. In the proposed model, time in the two
- reference frames is the same. As a consequence, the observers must
- be separated in space to observe the event. In the current model,
- space is the same so time is different whereas in the proposed
- model time is the same so space is different.
-
- Please let me know if this model has been discussed before or if I
- am making any obvious errors.
-
- thanks and regards, Howard
-