Mass term in the Minkowski metric and an oscillation model in Lorentz group

[RF]

Hi, My name is Ryoji Furui. A few weeks ago, I submitted a physics paper to a journal and finally I received a reply from editor 2 days ago with referee's comments. Before answering to referee's comments, I would like to ask here if my answers could make sense for precise communication.
My submitted paper can be found at
http://ryoji.info/r330a.pdf.
and below is the referee's 2 comments and my draft answers. Hope anyone would help my submission process. Also it would be welcome if you have any comments about paper.

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A referee's comment 1:
As the author is well-aware, the special theory of relativity has ample ex-
perimental confirmation. As a result, any viable modification cannot be in
contradiction with it in its range of validity. The proposals of this paper,
however, do contradict key ingredients of special relativity. More specifi-
cally, the introduction of the multiplier $\eta$ in the time-time component of the Minkowski metric either does not make any difference (because it can be removed by a rescaling of the time coordinate) or it breaks Lorentz invariance (if the author does not view rescalings of the coordinates as allowed). Needless to say, Lorentz invariance is essential for ensuring the constancy of the speed of light.

My draft answer 1:
When a observer measures the transformation of coordinates from $\eta=1$ to $\eta=0$, the observer will find mass is generated in a rest flat flame. And mass will disappear in its inverse. So apparently it is different phenomenon compared to the transformation to spatially moving frame. So it may allow the break of Lorentz invariance or if we admit that generated mass is embedded on a flat spacetime like we usually treat, it won't break Lorentz invariance.

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A referee's comment 2:
Massive and massless particles (in Relativistic Quantum Mechanics and Quantum Field Theory) transform in different representations of the Lorentz group. (The latter gives the basis for the theoretical understanding of the spin of particles.) Therefore, a particle cannot “oscillate” between being massive and being massless, contrary to the claim/“postulate” of the author in Section 3.

My draft answer 2:
As mass could be treated as a parameter in the time direction of the four-dimensional Minkowski metric, massive and massless particles could be the representations of the 4d Lorentz group.

r330a.pdf