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Papers by Hasmukh K. Tank

Research paper thumbnail of Some criteria for short listing the cosmological red-shift's explanations

Louis Marmet, in a paper titled: “On the Interpretation of Red-Shifts: A quantitative comparison ... more Louis Marmet, in a paper titled: “On the Interpretation of Red-Shifts: A quantitative comparison of red-shift mechanisms-II” Dated 4th December 2014, [1] has briefly compiled around 59 candidate mechanisms, including the standard Big Bang Cosmology, attempting to explain the observation of the ‘cosmological red-shift’. This paper proposes some criteria for short-listing the most likely explanations; and adds some more explanations to the list. The need for considering alternative mechanisms arises because the Big Bang cosmology is based on the assumption of homogeneity and isotropy of space at 100 M pc scale, for the explanation of the ‘cosmological red-shift’, whereas linear Hubble law is observed even at 1 M pc distances, where distribution of matter and energy is clearly not homogeneous. And Big Bang Cosmology demands 95 % ‘dark-energy’ which is not yet found. Alternative explanations for ‘cosmological red-shift’ are rejected under a pre-text that they are not compatible with the observation of ‘time-dilation of super novae light-curves’; but a paper by Tank, titled “Wave-theoretical insight into the Relativistic Length-contraction and Time-dilation of Super novae Light-curves” [2] has shown that any mechanism which can cause ‘cosmological red-shift’ will also cause ‘time-dilation of super novae light-curves’, so every possible mechanism needs to be considered without any bias. The criteria for short-listing proposed here is: that the loss in energy of cosmologically red-shifting photon is proportional to the strength-ratio of gravitational and electric forces ( G me mp / e2), which suggests that the energy of inter-galactic photon seems to get branched-out into gravitational and electrostatic potential-energy parts, and gravitational potential-energy-part is getting subtracted from the energy of the photons.

Research paper thumbnail of Some clues to understand MOND and the accelerated expansion of the universe

Astrophysics and Space Science, 2011

This letter points out that the values of `critical-acceleration' of MOND, and the `accelerated-e... more This letter points out that the values of `critical-acceleration' of MOND, and the `accelerated-expansion' of the universe are just two of the fourteen strikingly equal values of accelerations recurring in different physical situations. Some of them could be explained by a new law of equality of potential-energy and energy-of-mass of reasonably-independent systems (Tank in Astrophys. Space Sci. 330:203-205, 2010; Tank in Adv. Stud. Theor. Phys. 5:45-55, 2011). This new conservation-law, of equality of potential-energy, energy-of-mass and `kinetic-energy' may be a clue to understand MOND, and the `accelerated-expansion' of the universe. Alternative expressions for the cosmological red-shift, the `critical-acceleration' of MOND and Newton's law of universal gravitation are also presented for comparison of three different accelerations.

![Research paper thumbnail of A new law emerging from the recurrences of the `critical-acceleration' of MOND, suggesting a clue to unification of fundamental forces](https://a.academia-assets.com/images/blank-paper.jpg)

Astrophysics and Space Science, 2010

Keeping apart the problem, whether Modified Newtonian Dynamics [MOND] can replace ‘dark matter’, ... more Keeping apart the problem, whether Modified Newtonian Dynamics [MOND] can replace ‘dark matter’, this letter considers seven different theoretical recurrences of ‘critical acceleration’ of MOND noticed by Sivaram in various physical situations; adds five more observational recurrences to the list; and arrives at a set of laws which seem to be followed by all the systems bound by different fundamental forces; suggesting a clue to unification of fundamental forces. This attempt proposes a general explanation for ‘flattening of galaxies’ rotation-curves’ as well as the ‘expansion of the universe’.

Research paper thumbnail of A new law emerging from the recurrences of the ‘critical-acceleration’ of MOND, suggesting a clue to unification of fundamental forces

Astrophysics and Space Science, 2010

Keeping apart the problem, whether Modified Newtonian Dynamics [MOND] can replace ‘dark matter’, ... more Keeping apart the problem, whether Modified Newtonian Dynamics [MOND] can replace ‘dark matter’, this letter considers seven different theoretical recurrences of ‘critical acceleration’ of MOND noticed by Sivaram in various physical situations; adds five more observational recurrences to the list; and arrives at a set of laws which seem to be followed by all the systems bound by different fundamental forces; suggesting a clue to unification of fundamental forces. This attempt proposes a general explanation for ‘flattening of galaxies’ rotation-curves’ as well as the ‘expansion of the universe’.

Research paper thumbnail of Wave-Theoretical Insight into the Relativistic Length-Contraction and Time-Dilation of Super-Nova Light-Curves

Einstein's Relativity-theories predict: length-contraction, time-dilation, transverse-Doppler-shi... more Einstein's Relativity-theories predict: length-contraction, time-dilation, transverse-Doppler-shift, gravitational-spectral-shifts, expansion-of-space, time-dilation-ofsuper-nova-light-curves...etc. First of all it is shown here that there is at least one problem with the current, Relativistic 'metric-expansion-of-space-based' explanation for the 'cosmological-red-shift'; leading to the theory of expansion-of-the-universe; therefore it is important to think of alternative possibilities. Then this letter makes an alternative-attempt, to gain wave-theory-based-insight into two of the predictions of Relativity: (i) length-contraction with speed and (ii) time-dilation of super-nova lightcurves.

Research paper thumbnail of Some criteria for short listing the cosmological red-shift's explanations

Louis Marmet, in a paper titled: “On the Interpretation of Red-Shifts: A quantitative comparison ... more Louis Marmet, in a paper titled: “On the Interpretation of Red-Shifts: A quantitative comparison of red-shift mechanisms-II” Dated 4th December 2014, [1] has briefly compiled around 59 candidate mechanisms, including the standard Big Bang Cosmology, attempting to explain the observation of the ‘cosmological red-shift’. This paper proposes some criteria for short-listing the most likely explanations; and adds some more explanations to the list. The need for considering alternative mechanisms arises because the Big Bang cosmology is based on the assumption of homogeneity and isotropy of space at 100 M pc scale, for the explanation of the ‘cosmological red-shift’, whereas linear Hubble law is observed even at 1 M pc distances, where distribution of matter and energy is clearly not homogeneous. And Big Bang Cosmology demands 95 % ‘dark-energy’ which is not yet found. Alternative explanations for ‘cosmological red-shift’ are rejected under a pre-text that they are not compatible with the observation of ‘time-dilation of super novae light-curves’; but a paper by Tank, titled “Wave-theoretical insight into the Relativistic Length-contraction and Time-dilation of Super novae Light-curves” [2] has shown that any mechanism which can cause ‘cosmological red-shift’ will also cause ‘time-dilation of super novae light-curves’, so every possible mechanism needs to be considered without any bias. The criteria for short-listing proposed here is: that the loss in energy of cosmologically red-shifting photon is proportional to the strength-ratio of gravitational and electric forces ( G me mp / e2), which suggests that the energy of inter-galactic photon seems to get branched-out into gravitational and electrostatic potential-energy parts, and gravitational potential-energy-part is getting subtracted from the energy of the photons.

Research paper thumbnail of Some clues to understand MOND and the accelerated expansion of the universe

Astrophysics and Space Science, 2011

This letter points out that the values of `critical-acceleration' of MOND, and the `accelerated-e... more This letter points out that the values of `critical-acceleration' of MOND, and the `accelerated-expansion' of the universe are just two of the fourteen strikingly equal values of accelerations recurring in different physical situations. Some of them could be explained by a new law of equality of potential-energy and energy-of-mass of reasonably-independent systems (Tank in Astrophys. Space Sci. 330:203-205, 2010; Tank in Adv. Stud. Theor. Phys. 5:45-55, 2011). This new conservation-law, of equality of potential-energy, energy-of-mass and `kinetic-energy' may be a clue to understand MOND, and the `accelerated-expansion' of the universe. Alternative expressions for the cosmological red-shift, the `critical-acceleration' of MOND and Newton's law of universal gravitation are also presented for comparison of three different accelerations.

![Research paper thumbnail of A new law emerging from the recurrences of the `critical-acceleration' of MOND, suggesting a clue to unification of fundamental forces](https://a.academia-assets.com/images/blank-paper.jpg)

Astrophysics and Space Science, 2010

Keeping apart the problem, whether Modified Newtonian Dynamics [MOND] can replace ‘dark matter’, ... more Keeping apart the problem, whether Modified Newtonian Dynamics [MOND] can replace ‘dark matter’, this letter considers seven different theoretical recurrences of ‘critical acceleration’ of MOND noticed by Sivaram in various physical situations; adds five more observational recurrences to the list; and arrives at a set of laws which seem to be followed by all the systems bound by different fundamental forces; suggesting a clue to unification of fundamental forces. This attempt proposes a general explanation for ‘flattening of galaxies’ rotation-curves’ as well as the ‘expansion of the universe’.

Research paper thumbnail of A new law emerging from the recurrences of the ‘critical-acceleration’ of MOND, suggesting a clue to unification of fundamental forces

Astrophysics and Space Science, 2010

Keeping apart the problem, whether Modified Newtonian Dynamics [MOND] can replace ‘dark matter’, ... more Keeping apart the problem, whether Modified Newtonian Dynamics [MOND] can replace ‘dark matter’, this letter considers seven different theoretical recurrences of ‘critical acceleration’ of MOND noticed by Sivaram in various physical situations; adds five more observational recurrences to the list; and arrives at a set of laws which seem to be followed by all the systems bound by different fundamental forces; suggesting a clue to unification of fundamental forces. This attempt proposes a general explanation for ‘flattening of galaxies’ rotation-curves’ as well as the ‘expansion of the universe’.

Research paper thumbnail of Wave-Theoretical Insight into the Relativistic Length-Contraction and Time-Dilation of Super-Nova Light-Curves

Einstein's Relativity-theories predict: length-contraction, time-dilation, transverse-Doppler-shi... more Einstein's Relativity-theories predict: length-contraction, time-dilation, transverse-Doppler-shift, gravitational-spectral-shifts, expansion-of-space, time-dilation-ofsuper-nova-light-curves...etc. First of all it is shown here that there is at least one problem with the current, Relativistic 'metric-expansion-of-space-based' explanation for the 'cosmological-red-shift'; leading to the theory of expansion-of-the-universe; therefore it is important to think of alternative possibilities. Then this letter makes an alternative-attempt, to gain wave-theory-based-insight into two of the predictions of Relativity: (i) length-contraction with speed and (ii) time-dilation of super-nova lightcurves.