A number that would be deemed a plausible ‘reciprocal alpha value’ would be within the 137.03 range from 137.029 to 137.04.
Below is a graphic of Giza that reflects the coordinates passing through Giza, as would have been evident in 1980, illustrating what I have termed the Reciprocal (α-1) 137.03 Alpha Range, marked as a golden band between the northernmost latitude of 29.97759907°N and the southern-most latitude of 29.97504843°N.
By multiplying the numbers of the northernmost latitude of 29.97759907°N by 32 and then dividing the result by 7 generates the number 137.04.
In the same way, the southern-most latitude of 29.97504843°N generates the number 137.028793, which rounds-off to the nearest thousandth (3 decimals) at 137.029.
In-between these two latitudes is the Golden Cut latitude of 29.9766248°N that passed through Giza in 1980, and which generated a reciprocal alpha value (137.0359990857) that we now know virtually matches the latest 2018 CODATA determination of reciprocal alpha (137.035999084) to eight decimal places – just one decimal place short of the determined value.
The fairly wide band of the ‘Reciprocal 137.03 Alpha Range’ at Giza along the same longitude of 31.13419477°E (being the N/S Giza Meridian passing through the Great Pyramid in 1980), is a distance of exactly 282.744 meters. Divided by 0.5236 meters (one royal cubit) 282.744 meters is an exact and meaningful 540 royal cubits, and which as we now know is a 1/48th subdivision of the precessional cycle of 25,920 years according to the ancient estimate.
Vincenty Distance Calculator.
Amazingly, this ‘Reciprocal 137.03 Alpha Range’ also reflects the Phi-ratio, with the ‘Golden Cut latitude’ dividing the ‘Reciprocal 137.03 Alpha Range’ between the Golden Section proportions of 1 and 0.618, which is why I will also refer to it as the ‘Reciprocal 137.03 Alpha/Phi Range.’
Note that the band of this 137.03 range fits within the Phi-ratio Golden Section proportions to which the three pyramids at Giza were positioned.
• The larger ‘1’ Phi-ratio Golden Section distance between the Golden Cut latitude of 29.9766248°N and the latitude of 29.97504843°N (exactly 180 degrees south) is precisely 174.744 meters.
• The shorter ‘0.618’ phi-ratio Golden Section distance between the latitude coordinates of 29.97759907°N and the Golden Cut latitude of 29.9766248°N, is a precise and meaningful 108 meters.
The number 108 is a 1/240th subdivision of the precessional cycle of 25,920 years according to the ancient estimate, and 108 meters + 174.744 meters = 282.744 meters.
As mentioned, 282.744 meters converts to 540 royal cubits, which is a 1/48th subdivision of the precessional cycle of 25,920 years according to the ancient estimate, and 540 ÷ 108 = 5 . . . 2 x 540 = 1,080 and 2 x 1,080 or 4 x 540 = 2,160 . . . the full length of the Giza Diagonal in royal cubits.
The ‘Reciprocal 137.03 Alpha/Phi Range’ at Giza is 540 royal cubits wide, divided by the Golden Cut latitude into the Phi-ratio Golden Sections of 1 and 0.618 . . . as 174.744 meters ÷ 108 meters = 1.618 Phi exactly.
Gary Osborn
Below is a graphic of Giza that reflects the coordinates passing through Giza, as would have been evident in 1980, illustrating what I have termed the Reciprocal (α-1) 137.03 Alpha Range, marked as a golden band between the northernmost latitude of 29.97759907°N and the southern-most latitude of 29.97504843°N.

By multiplying the numbers of the northernmost latitude of 29.97759907°N by 32 and then dividing the result by 7 generates the number 137.04.
In the same way, the southern-most latitude of 29.97504843°N generates the number 137.028793, which rounds-off to the nearest thousandth (3 decimals) at 137.029.
In-between these two latitudes is the Golden Cut latitude of 29.9766248°N that passed through Giza in 1980, and which generated a reciprocal alpha value (137.0359990857) that we now know virtually matches the latest 2018 CODATA determination of reciprocal alpha (137.035999084) to eight decimal places – just one decimal place short of the determined value.
The fairly wide band of the ‘Reciprocal 137.03 Alpha Range’ at Giza along the same longitude of 31.13419477°E (being the N/S Giza Meridian passing through the Great Pyramid in 1980), is a distance of exactly 282.744 meters. Divided by 0.5236 meters (one royal cubit) 282.744 meters is an exact and meaningful 540 royal cubits, and which as we now know is a 1/48th subdivision of the precessional cycle of 25,920 years according to the ancient estimate.

Vincenty Distance Calculator.
Amazingly, this ‘Reciprocal 137.03 Alpha Range’ also reflects the Phi-ratio, with the ‘Golden Cut latitude’ dividing the ‘Reciprocal 137.03 Alpha Range’ between the Golden Section proportions of 1 and 0.618, which is why I will also refer to it as the ‘Reciprocal 137.03 Alpha/Phi Range.’
Note that the band of this 137.03 range fits within the Phi-ratio Golden Section proportions to which the three pyramids at Giza were positioned.

• The larger ‘1’ Phi-ratio Golden Section distance between the Golden Cut latitude of 29.9766248°N and the latitude of 29.97504843°N (exactly 180 degrees south) is precisely 174.744 meters.

• The shorter ‘0.618’ phi-ratio Golden Section distance between the latitude coordinates of 29.97759907°N and the Golden Cut latitude of 29.9766248°N, is a precise and meaningful 108 meters.

The number 108 is a 1/240th subdivision of the precessional cycle of 25,920 years according to the ancient estimate, and 108 meters + 174.744 meters = 282.744 meters.
As mentioned, 282.744 meters converts to 540 royal cubits, which is a 1/48th subdivision of the precessional cycle of 25,920 years according to the ancient estimate, and 540 ÷ 108 = 5 . . . 2 x 540 = 1,080 and 2 x 1,080 or 4 x 540 = 2,160 . . . the full length of the Giza Diagonal in royal cubits.
The ‘Reciprocal 137.03 Alpha/Phi Range’ at Giza is 540 royal cubits wide, divided by the Golden Cut latitude into the Phi-ratio Golden Sections of 1 and 0.618 . . . as 174.744 meters ÷ 108 meters = 1.618 Phi exactly.
Gary Osborn