My ResearchGate Answer 003, to RG Questions:

Q: In reference to my research paper,

[ http://dx.doi.org/10.13140/RG.2.2.25942.01607 ], 

When you say that the numbers and dimensions are abstracts this imply that they are only imaginaries and therefore, not real?

A: Yes, the numbers, addition, multiplication etc. and dimensions etc. are abstracts in pure mathematics.

Mathematical abstraction is the process of considering and manipulating operations, rules, methods and concepts divested from their reference to real world phenomena and circumstances, and also deprived from the content connected to particular applications.

I thank you for asking such a vital question.

Best regards

My ResearchGate Answer 002, to RG Questions:

"The answer is an effect from Einstein’s General Theory of Relativity called the 'gravitational redshift...' "  

<<https://www.nasa.gov/image-article/einsteins-theory-of-relativity-critical-gps-seen-distant-stars/ >>

Your above comment represents a definitive answer to the original question, which is not and needs to be looked at differently. As you note from NASA's observation, "The answer is an effect from Einstein’s General Theory of Relativity called the “gravitational redshift ..." The statement appears to be relativistic bias, because the redshift in light is not the only significance. There are many and not only 'gravitational red shift'. The observations posted by NASA do not reveal the full picture of redshift, and "gravitational redshift" is not the only significant cause of redshift in light.

Redshift is a natural phenomenon caused by various causes, and not significantly due to gravitational redshift, here is a list of causes of redshift in light.

1. Propagation Delay or, Time Delay: First and foremost light should cause its own propagation delay or transmission delay or time delay. Propagation delay is the amount of time required for a signal to be received with light after it is sent; This is caused by the time it takes for the signal to travel through a medium or void in space. Propagation delay is of primary interest in electronic circuit design and computer networking, although all signals will inherently experience some form of propagation delay. As light travels a distance of 1 km in a vacuum, there will be a time delay or delay of 3.33 microseconds (µsec). Time delay (Δt) corresponds to wavelength enlargement Δλ as we know t ∝ 1/f or t ∝ λ. This increase in wavelength will cause a red shift as it accumulates over time.

2. Doppler redshift: As an object moves away from the observer, the light waves emitted by the object are enlarged, causing them to have a lower pitch and moving them towards the red end of the electromagnetic spectrum, where the wavelength of light is longer (λ+Δλ). Blue shift occurs when the phenomenon described above is reversed.

3. Gravitational Redshift: The phenomenon that electromagnetic waves or photons escaping a gravitational well expend their energy resulting in longer wavelengths (λ+Δλ), which shifts the frequency of light towards the red end of the electromagnetic spectrum resulting in gravitational redshift.

4. Photometric Redshift: Photometric redshift is an estimate of the deceleration velocity of an astronomical object such as a galaxy or quasar, where Doppler redshift can replace the deceleration velocity.

5. Cosmic Redshift: The universe is expanding, and that expansion stretches light through interstellar space in a phenomenon known as cosmic redshift. The higher the redshift, the more distance the light has travelled.

By this time, you probably understand why NASA's observation of “gravitational redshift", not just redshift as you seem to present in the existence of different redshifts.

The final redshift is calculated based on the effective redshift, and in this context, one can see my research papers available on my ResearchGate profile.

Besides. Relativistic time or time dilation is not redshift. As time distortion can cause in objects with mass but redshift causes in electromagnetic waves having massless photons.

Best regards

My ResearchGate Answer 001, to RG Questions:

<< Does the GPS technology require SR and GR for precise computation of time and location? >>

The clear answer to this question is no. Space agencies, at least NASA, do not recommend using calculations for time dilation due to motion such as SR or gravitational potential differences such as GR. Instead NASA sponsored research to ensure corrective measurements for GPS time distortions - which causes by a variety of causes, and so NASA implemented the recommendations of research it sponsored decades ago.

I have my own research that reveals wave equations with classical mechanics that would be suitable for solving time distortion problems with GPS satellites.

Note: I used the term "time distortion" instead of "time dilation", also time dilation equations alone are insufficient when applied for practical purposes and certainly for time correction measurements on GPS satellites.

As an electronics engineer, I can say that employing an electronic signal comparator (which costs only one or two cents here in India) on a GPS satellite, can easily measure the time difference compared to ground conditions and suggest the level of comparator error. As for the automatic correction of time distortion required on GPS satellites, this is not a major problem, or even a common one on Earth.

I don't understand why so many knowledgeable persons are so obsessed with time dilation instead of relying on classical mechanics, when classical mechanics and application of wave equations can be a better option to handle such problems than using inadequate time dilation equations. I completely dismiss the idea of time dilation because time is not something to dilate, unless one invites error into it.

BU002: The Continuation of the write-up: Bharat of the Universe - MohaBiswer Bharat:

The write-up of the research 'Bharat of the Universe,' further expands on the initial write-up, delving into the concept of chain synchronized energetic oscillations, the formation of existence through oscillations, progressive and interlaced oscillations, and the creation of multiple-dimensional fields. It culminates by discussing the formation of space and time in the universe through these oscillatory processes. Here's a breakdown of the additional points:

Chain Synchronized Energetic Oscillation from Equilibrium State: This concept refers to a series of synchronized energetic oscillations originating from an energetic point's movement from equilibrium. The resulting coherence among these oscillations generates a strong energetic-gravitational field.

Formation of Existence through Oscillations: The text emphasizes that existence is formed through energetic points oscillating from equilibrium, creating vibrational energy and establishing an infinitesimal existence without adherence to time. It also mentions the formation of existence through chain synchronized energetic oscillations.

Progressive and Interlaced Oscillation: Progressive oscillations occur sequentially in each dimension, while interlaced oscillations involve the progression from one dimension to another, forming multiple dimensions simultaneously.

Formation of Multiple Dimensional Fields: It explains that progressive oscillations create individual dimensions sequentially, while higher dimensions are formed through an interlaced chain of synchronized oscillations, forming all dimensions simultaneously.

Formation of Space and Time in the Universe: It elaborates on the origin of the universe's primordial existence from a non-eventual energy state via chain synchronized energetic oscillations. This led to the creation of multidimensional space, and the transition into events and time occurred through linear dimensional point vibrations, signifying the progression into multidimensional space, events, and time.

These concepts expand upon the interconnected nature of oscillations and their role in shaping existence, dimensions, and the fundamental aspects of the universe, providing a more detailed exploration of the creation and progression of space and time.

BU001: The beginning of the write-up: Bharat of the Universe - MohaBiswer Bharat:

30 Nov 2023

The beginning write-up appears to combine various concepts from mathematics, hypothetical ideas, and classical scientific principles to discuss the nature of existence, oscillations, and the formation of space and time in the universe.

It begins by introducing the abstract nature of a point, emphasizing its mathematical significance as a location marker in space devoid of physical dimensions. Then it delves into the hypothetical idea of an energetic point oscillating from its equilibrium state, suggesting its transformation into vibrational energy and its existence in a non-linear space without adherence to time.

Further, the text transitions to discuss the formation of existence, events, space, and time, indicating the progression from a linear dimensional point's vibration to the creation of multi-dimensional space and the initiation of events and time.

It later introduces the concept of an energetic universe through sinusoidal oscillations in three-dimensional space, highlighting the conversion of positional energy into periodic energy. Finally, it refers to the principles of classical mechanics concerning oscillations, write-up delvesfrequencies, and forces, contributing to the understanding of the universe's fundamental aspects.

In essence, the write-up interconnects mathematical, hypothetical, and classical scientific ideas to explore the fundamental nature and formation of existence, energy, and universes in their basic aspects.

The beginning write-up delves into the conceptual nature of a point, its absence of physical attributes, and its existence within mathematical contexts. 

Some of the key points:

Nature of a Point: In mathematics, a point serves as a location marker in space. It's dimensionless, lacking any length, width, or height. It's merely a reference without physical extension, often indicated by a dot and denoted by an uppercase letter. Energetic Point 

Oscillation: The beginning write-up suggests that when a point oscillates from its equilibrium state, it doesn't follow a linear progression and exists momentarily without adhering to time. This oscillation converts its positional energy into vibrational energy.

Formation of Existence: The transition from a point's linear dimensional existence to vibrating in two-dimensional states results in the creation of two-dimensional space, which further extends into two or three-dimensional space, initiating events and time.

Energetic Universe: Describing sinusoidal oscillation in three-dimensional space, the text portrays this oscillation as generating a periodic signal in the form of a sinusoidal wave. It highlights the conversion of positional energy into periodic energy through sinusoidal or harmonic oscillation, represented by a sine waveform.

Material Universe: Classical mechanics defines linear oscillation as having a single frequency, demonstrating sinusoidal and periodic motion. Harmonic oscillation involves a restoring force proportional to the displacement from its point position, with 'k' being a positive constant.

This passage seems to blend mathematical principles with theoretical concepts from physics, exploring the abstract nature of a point, oscillation, and the emergence of space and time. It incorporates mathematical representations to explain physical phenomena.