The equation, t + ivt / c = 0 , is just a statement that the two components (first clock time and second its complex conjugate, the addition of which is required to describe a time interval between charges or objects in relative motion) sum together to zero.
Yes you can scramble this relationship by mixing the components but, and correct me if I am wrong, you can do that with any complex number where the units allow. You will, however, destroy the information they contain when you do.
The evidence for the existence of photons is a more involved question. First must be the double slit experiment which has been a source of controversy, and in my opinion misinterpretation, for two hundred years. The results of two slit experiments rely on the phase interaction consequent on variation of distance.
The equation, t + ivt / c = 0 , is just a statement that the two components (first clock time and second its complex conjugate, the addition of which is required to describe a time interval between charges or objects in relative motion) sum together to zero.It seems you are misusing the term "complex conjugate" The conjugate of a complex number a+bi is a-bi (where a and b are pure real.) This also means that the conjugate of a pure real number is itself, and that the sum of a complex number and its conjugate is simply twice the real part.Yes you can scramble this relationship by mixing the components but, and correct me if I am wrong, you can do that with any complex number where the units allow. You will, however, destroy the information they contain when you do.No, the manipulations I did do not destroy any information. Also, the units always allow, a complex number is still just a single number, so itt doesn't make sense to say different parts have different units
I am extrapolating some here, but it seems that you are trying to use complex numbers to sum 2 different things together such as 2 apples + 3 oranges, while keeping them separate. That simply is not what complex numbers do, vectors are a bit better suited for this (though they still should have everything have the same units.)The evidence for the existence of photons is a more involved question. First must be the double slit experiment which has been a source of controversy, and in my opinion misinterpretation, for two hundred years. The results of two slit experiments rely on the phase interaction consequent on variation of distance.I am not sure what controversy you are referring to, because the results of this type of experiment have been conclusive and clear. They have put an end to controversies, not been the source of them.
I can possibly go into some of the other stuff I mentioned in more detail at some point, but I just want to make a couple quick notes: The big thing about the LHC that helps enable photon-photon collision detection is the high energy per photon, which really is an extreme case. Here is an early release about the experiment last year: http://cerncourier.com/cws/article/cern/66878
For the photon fields I mentioned, the "extreme" part about it is the huge number of overlapping photons present, but this is an every day occurrence. Even a simple 1 Watt RF source at 2 GHz emits around 7*10^23 photons per second. This is around 2*10^15 within 1 meter of the source at any instant. Given the wavelength of about 15 centimeters, that is a lot of overlapping photons.
The controversy I am referring to is the particle wave duality and its seeming impossibility. Are you saying that you find nothing at all confusing about quantum mechanics?
Your critique of my attempt to express complex time mathematically did not include any recommendation for a better approach. I would happily consider such.
Presuming that you agree with Special Relativity that, the time dilation experienced by a photon should reduce its duration to zero from its own perspective, then you may see why it helps to express the relationship between time for the observer and time for the photon in a single equation.
The point of all this being that where there is no passage of time, there is coincidence.
Of course I find quantum mechanics horribly confusing and unintuitive, but there is no controversy about it, certainly not wave particle duality. Experiments have thoroughly eliminated every possible explanation for how the world works that makes sense to human intuition.
If, however, I stick to using 4-vectors then my argument will not be properly expressed. In my opinion the fault lies with the mathematical methodology which is why the attempt to include Machian considerations into GR failed in the first place.Of course I find quantum mechanics horribly confusing and unintuitive, but there is no controversy about it, certainly not wave particle duality. Experiments have thoroughly eliminated every possible explanation for how the world works that makes sense to human intuition.
It is safe to say that nobody understands quantum mechanics.
Of course I find quantum mechanics horribly confusing and unintuitive, but there is no controversy about it, certainly not wave particle duality. Experiments have thoroughly eliminated every possible explanation for how the world works that makes sense to human intuition.
You are in good company. As physicist Richard Feynman stated;QuoteIt is safe to say that nobody understands quantum mechanics.
Given that, I do find the de Broglie-Bohm pilot wave theory slightly more intuitive as far as wave-particle duality is concerned.
Of course I find quantum mechanics horribly confusing and unintuitive, but there is no controversy about it, certainly not wave particle duality. Experiments have thoroughly eliminated every possible explanation for how the world works that makes sense to human intuition.
You are in good company. As physicist Richard Feynman stated;QuoteIt is safe to say that nobody understands quantum mechanics.
Given that, I do find the de Broglie-Bohm pilot wave theory slightly more intuitive as far as wave-particle duality is concerned.
The problem with understanding wave particle duality is realizing that particles cannot be separated from their fields. The particle is not an independent, isolated entity and its field spans the entire universe.
(...)
If your considering imaginary time this might be a line of related thought: https://scholar.google.com/scholar?cluster=10342783944069976021&hl=en&as_sdt=0,26
Of course I find quantum mechanics horribly confusing and unintuitive, but there is no controversy about it, certainly not wave particle duality. Experiments have thoroughly eliminated every possible explanation for how the world works that makes sense to human intuition.
You are in good company. As physicist Richard Feynman stated;QuoteIt is safe to say that nobody understands quantum mechanics.
Given that, I do find the de Broglie-Bohm pilot wave theory slightly more intuitive as far as wave-particle duality is concerned.
The problem with understanding wave particle duality is realizing that particles cannot be separated from their fields. The particle is not an independent, isolated entity and its field spans the entire universe.WarpTech,
the problem with a field which spans the universe is that to realize the power inherent in its quantum, it must be able to collapse instantly to a single point. Do you have in mind and explanation of that mechanism?
Of course I find quantum mechanics horribly confusing and unintuitive, but there is no controversy about it, certainly not wave particle duality. Experiments have thoroughly eliminated every possible explanation for how the world works that makes sense to human intuition.
You are in good company. As physicist Richard Feynman stated;QuoteIt is safe to say that nobody understands quantum mechanics.
Given that, I do find the de Broglie-Bohm pilot wave theory slightly more intuitive as far as wave-particle duality is concerned.
The problem with understanding wave particle duality is realizing that particles cannot be separated from their fields. The particle is not an independent, isolated entity and its field spans the entire universe.
Of course I find quantum mechanics horribly confusing and unintuitive, but there is no controversy about it, certainly not wave particle duality. Experiments have thoroughly eliminated every possible explanation for how the world works that makes sense to human intuition.The notion that the physical universe is something we cannot understand is not acceptable to me. Yes I accept my own obvious limitations, but bearing them in mind I must insist that my solutions make sense to me, at least, without being obtuse.
You are, as yet, the only person to disagree with my use of a complex number to describe time but I doubt that you will be the last.

Of course I find quantum mechanics horribly confusing and unintuitive, but there is no controversy about it, certainly not wave particle duality. Experiments have thoroughly eliminated every possible explanation for how the world works that makes sense to human intuition.The notion that the physical universe is something we cannot understand is not acceptable to me. Yes I accept my own obvious limitations, but bearing them in mind I must insist that my solutions make sense to me, at least, without being obtuse.I think most if not all physicists feel the same way. The one thing they prioritize over that is theories actually matching with reality. It turns out that when it comes to quantum, reality is quite stubborn about being unintuitive.You are, as yet, the only person to disagree with my use of a complex number to describe time but I doubt that you will be the last.To be clear, pure imaginary time I don't have a problem with and there is a solid basis for how that would work. Complex time where time has both real and imaginary components seems like it is guaranteed to produce complex results for position as well when put into any dynamics equation. You could put sqrt(t**t) (note that superscript asterisk denotes complex conjugate) in place of t in all the standard equations, but then you don't have any meaning associated with t being complex, and you are just using the magnitude.
I don't think I can say anything else of value at this point. Let me know if you figure out a way to write down dynamics equations that don't break when you use complex time.
Something related to WarpTech's equations aboveHow to push on the Vacuum, or create friction with the Vacuum using Radiation Reaction.
I think the Woodward effect can be modeled this way, but please note that this is a work in progress. Not a paper for review. I'm hoping to give us something to discuss and make the conversation a little more productive.
I realized this morning is that Puthoff's equations for the polarizable vacuum suggest a changing mass per change in acceleration also.
That isPolarizable-Vacuum (PV) representation of general relativity
H. E. Puthoff
m(K) = m_o*K^(3/2)so as an object falls into a gravity well undergoing a change in acceleration is mass changes also.
“Our conclusion is that an anomalous acceleration is also acting upon the Juno spacecraft in the vicinity of the perijove (in this case, the asymptotic velocity is not a useful concept because the trajectory is closed). This acceleration is almost one hundred times larger than the typical anomalous accelerations responsible for the anomaly in the case of the Earth flybys. This was already expected in connection with Anderson et al.’s initial intuition that the effect increases with the angular rotational velocity of the planet (a period of 9.8 hours for Jupiter vs the 24 hours of the Earth), the radius of the planet and probably its mass.”
Abstract
In the last decades there have been an increasing interest in improving the accuracy of spacecraft navigation and trajectory data. In the course of this plan some anomalies have been found that cannot, in principle, be explained in the context of the most accurate orbital models including all known effects from classical dynamics and general relativity. Of particular interest for its puzzling nature, and the lack of any accepted explanation for the moment, is the flyby anomaly discovered in some spacecraft flybys of the Earth over the course of twenty years. This anomaly manifest itself as the impossibility of matching the pre and post-encounter Doppler tracking and ranging data within a single orbit but, on the contrary, a difference of a few mm/s in the asymptotic velocities is required to perform the fitting.
Nevertheless, no dedicated missions have been carried out to elucidate the origin of this phenomenon with the objective either of revising our understanding of gravity or to improve the accuracy of spacecraft Doppler tracking by revealing a conventional origin.
With the occasion of the Juno mission arrival at Jupiter and the close flybys of this planet, that are currently been performed, we have developed an orbital model suited to the time window close to the perijove. This model shows that an anomalous acceleration of a fewmm/s2 is also present in this case. The chance for overlooked conventional or possible unconventional explanations is discussed.
Is Temperature a Lorentz Invariant quantity in SR?
I found this: http://www.physastromath.ch/uploads/myPdfs/Relativ/T_SRT_en.pdf
It is an interesting question because energy is frame dependent, but temperature depends on molecular/atomic vibration.
Time dilation would suggest that relative to a fast-moving observer, all vibration should stop and the temperature should go to zero. Same is true for the energy of blackbody oscillators, h*f goes to zero as time dilation increases.
On the other hand, Temperature ~ Kinetic Energy, which increases relative to a fast-moving observer.
Or, is Temperature an invariant because it is defined by an "absolute" Kelvin scale, and things such as boiling points, melting points and triple points, are not frame dependent, but rather material dependent.
If Temperature is invariant, then the Boltzmann constant must be frame dependent. That comes as a bit of a surprise to me, but it has to be one or the other. Either the Boltzmann constant is frame dependent or energy is not.
Is there any final consensus on this? It seems that after 100+ years of Relativity, the effects of SR on Thermodynamics are still unresolved. The consequences brought up in the article seem rather profound.
Thanks.
WarpTech,
Temperature as far as it depends on atomic/molecular vibration would not be affected by the velocity of any fast moving observer. In its simplest case the the observer would still see the vibration of the atom/molecule as a constant if not uniform change in velocity of the atom/molecule.
For black body radiation the case may be made that depending on the fast moving observer’s velocity relative to the black body radiation, the observed “temperature” may go up or down, dependent upon whether the observer is moving toward or away from the radiating source.
… But would that really have any affect on the radiating source or just velocity defined ‘boundary’ conditions affecting observation and measurement?